OT: Mathematics

SJG - It seems like you are using this forum as your own diary / personal note pad. Your threads don't serve any public good. So I am joining ttxtittyfag in text dumping on them.

Lol Be careful Paul, he'll put you on ignore.

BTW yours and tx's posts are much more interesting. :D

WTF is the point of this thread by SJG?

@Meat72 - For starters SJG has to be seriously fucked up to keep coming back to a place where everyone just posts hateful comments about him. So I think there has to be some serious self delusion going on which maybe makes him think it's a good idea to use the discussion forum as his own personal diary. Like he is some sort of savant who's writings will be discovered in the future...

Moving house from India completely to another metropolis regarding Asia may be the most difficult as well as tense activities you could have as a result of lots of headaches along with boring responsibilities. Although you can obtain gone going issues in addition to issues making use of providers regarding among the finest top quality packers in addition to movers firms regarding India. There are many treatment businesses as well as movers and packers inside town connected with India to select from that could give you required products and services with regard to community residence items switching, household move from India, car or truck travelling coming from India, local company changing inside India, management and business separation from India, worldwide move through India, along with circumstances as well. Packers and Movers vadodara Movers and Packers in vadodara shiftingsolutions.in

New house purchase providers includes supplying, packing, transferring, unloading involving merchandise for specific in addition to intended for huge business. These kinds of solutions contain swiftness send companies, courier’s solutions, transport connected with automobiles, manufacturing raw materials and concluded goods and much more things. Some areas of focus pertaining to they then are Portable Houses and also Perfect Field regarding relocating house makes a speciality of filling, unloading, vehicles, insurance policies, freight dealing with, logistics, package, storage place assistance. Types of movers in addition to packers businesses throughout India offering moving servcices. These Movers and Packers India organizations present relocation companies to be able to local level, in the state and also beyond the state.

They then have got educated staff members as well as each employee can be proficient in his / her discipline. There're very well devoted for giving products safely and also in time in the entrance connected with clientele. They've got limbs as well as company companions around from coast to coast that’s the reason supplying move services at really low cost. It's the same the very best answer for relocations. These companies help to make moving super easy for individuals and allow your reduced the particular frantic task involving switching items pursuits, which require valuable time in addition to cash. The leading factors of these organizations are offering shipping and delivery regarding items safely and in time.

So if you tend to be relocating compared to decide on Packers along with Movers India businesses which make the separation quick. Please be aware throughout picking packers as well as movers India firms and also get the actual detail from the background involving company prior to providing long term contract towards company. Mainly because types of false advertisements will there be and they also secured for good quality program however could be services of not really in which good quality. May be a number of past due within switching merchandise or maybe stability seriously isn't appropriate intended for shifting things. Thus manage these products within choosing the right Movers in addition to Packers throughout India.

Sometimes the #Shifting process becomes elongated and for which storing goods is requisite. #Professional #Packers and #Movers #Bangalore warehousing services provides you storing of goods securely which even ensures the total protection of goods from rain, damage and stealing.

Many from you are not aware of this service but yes you can avail this warehouse services if the path to your Destination stretched too long. When #Shifting to a new city finding a better living is not easy so until the time you search a good living structure for you and your family till the time you need some storage space where you can hold your household stuffs properly. Hiring storage space from another company can lead somewhere expensive notes however if you need warehouse facility you can ask Packers and Movers in Bangalore to give you a quotation package which includes all the services from packing to unpacking, storing to rearranging with insurance all way. Having this sort of quotations may lead the reasonable prices because you are asking from Packers and Movers in Bangalore Charges.

Well having a warehouse for storing your #goods are #safe and also you find a safe area where your goods are stored safely. Though if you are unable to find a better apartment or villa for living as because searching and getting a house in new city is not easy it takes time but till then you are satisfied that you’re goods are safe.

You can live even in hotel till the date you get keys of new house but roaming with the bulk of goods create problem and trouble every time that is why warehousing services in Bangalore will suggest you to in such case ask your mover to give you storage facility and if moving with Packers and Movers in Bangalore Household Shifting Services then you will get the warehouse facility within the quotation only. You choose what you need and pay for that only.

At the moment you clear with the prospective of warehouse services you might be eager to know how a warehouse looks and how your goods are stored.

@TheOSU and Meat72 - If you don't like SJGs diary threads why not join in on the text dumping...

So I think there has to be some serious self delusion going on which maybe makes him think it's a good idea to use the discussion forum as his own personal diary. Like he is some sort of savant who's writings will be discovered in the future..."

Lol! That's funnier than anything I've seen today but unfortunately it's probably accurate.

Anyway it's been brought up before, he does it here because it's the only place on the net that he can get away with it.

PaulDrake, your posts don't serve any good.

My threads and posts are about things which some people might reply to. You, not I, must think very low of TUSCL members.

SJG

Is there anyone more of a fucking lunatic on any FUCKING FORUM ON THE INTERNET THAN SAN DICK SUCKING JOSE GUY?

PaulDrake, TheeOSU, and Shailynn, all wasting key strokes which could have been used for something constructive.

I'm going to start expanding my reading to include mathematics books, starting with:

A First Course in Real Analysis (Undergraduate Texts in Mathematics)Mar 7, 1997 by Murray H. Protter and Charles B. Jr. Morrey

A First Course in Functional Analysis (Dover Books on Mathematics)
by Martin Davis

Notice this too: Mathematical foundations of computational electromagnetism / Franck Assous, Patrick Ciarlet, Simon Labrunie (2018)

A First Course in Numerical Analysis: Second Edition (Dover Books on Mathematics) Second Edition by Anthony Ralston (Author), Philip Rabinowitz (Author)

Complex Analysis: A First Course with ApplicationsOct 4, 2013 by Dennis G. Zill and Patrick D. Shanahan

testosteronelifeboat.freeforums.net

Here, this is the book I was trying to find:

""This rigorous textbook is intended for a year-long analysis or advanced calculus course for advanced undergraduate or beginning graduate students. Starting with detailed, slow-paced proofs that allow students to acquire facility in reading and writing proofs, it clearly and concisely explains the basics of differentiation and integration of functions of one and several variables, and covers the theorems of Green, Gauss, and Stokes. Minimal prerequisites are assumed, and relevant linear algebra topics are reviewed right before they are needed, making the material accessible to students from diverse backgrounds. Abstract topics are preceded by concrete examples to facilitate understanding, for example, before introducing differential forms, the text examines low-dimensional examples. The meaning and importance of results are thoroughly discussed, and numerous exercises of varying difficulty give students ample opportunity to test and improve their knowledge of this difficult yet vital subject." -- Provided by publisher"

A first course in analysis / John B. Conway (2018)

amazon.com

SJG

testosteronelifeboat.freeforums.net

So considering: A first course in analysis / John B. Conway (2018)

amazon.com

Lets compare it to the established standard: Walter Rudin, what I find for the table of contents is:

Table Of Contents:

Chapter 1: The Real and Complex Number Systems

Introduction

Ordered Sets

Fields

The Real Field

The Extended Real Number System

The Complex Field

Euclidean Spaces

Appendix

Exercises

Chapter 2: Basic Topology

Finite, Countable, and Uncountable Sets

Metric Spaces

Compact Sets

Perfect Sets

Connected Sets

Exercises

Chapter 3: Numerical Sequences and Series

Convergent Sequences

Subsequences

Cauchy Sequences

Upper and Lower Limits

Some Special Sequences

Series

Series of Nonnegative Terms

The Number e

The Root and Ratio Tests

Power Series

Summation by Parts

Absolute Convergence

Addition and Multiplication of Series

Rearrangements

Exercises

Chapter 4: Continuity

Limits of Functions

Continuous Functions

Continuity and Compactness

Continuity and Connectedness

Discontinuities

Monotonic Functions

Infinite Limits and Limits at Infinity

Exercises

Chapter 5: Differentiation

The Derivative of a Real Function

Mean Value Theorems

The Continuity of Derivatives

L'Hospital's Rule

Derivatives of Higher-Order

Taylor's Theorem

Differentiation of Vector-valued Functions

Exercises

Chapter 6: The Riemann-Stieltjes Integral

Definition and Existence of the Integral

Properties of the Integral

Integration and Differentiation

Integration of Vector-valued Functions

Rectifiable Curves

Exercises

Chapter 7: Sequences and Series of Functions

Discussion of Main Problem

Uniform Convergence

Uniform Convergence and Continuity

Uniform Convergence and Integration

Uniform Convergence and Differentiation

Equicontinuous Families of Functions

The Stone-Weierstrass Theorem

Exercises

Chapter 8: Some Special Functions

Power Series

The Exponential and Logarithmic Functions

The Trigonometric Functions

The Algebraic Completeness of the Complex Field

Fourier Series

The Gamma Function

Exercises

Chapter 9: Functions of Several Variables

Linear Transformations

Differentiation

The Contraction Principle

The Inverse Function Theorem

The Implicit Function Theorem

The Rank Theorem

Determinants

Derivatives of Higher Order

Differentiation of Integrals

Exercises

Chapter 10: Integration of Differential Forms

Integration

Primitive Mappings

Partitions of Unity

Change of Variables

Differential Forms

Simplexes and Chains

Stokes' Theorem

Closed Forms and Exact Forms

Vector Analysis

Exercises

Chapter 11: The Lebesgue Theory

Set Functions

Construction of the Lebesgue Measure

Measure Spaces

Measurable Functions

Simple Functions

Integration

Comparison with the Riemann Integral

Integration of Complex Functions

Functions of Class L²

I have read some of the above book years ago. But I will start with:

A first course in analysis / John B. Conway (2018)

Black Magick Volume 1: Awakening I amazon.com

Black Magick Volume 2: Awakening II amazon.com

The Necromancer (The Secrets of the Immortal Nicholas Flamel Book 4) amazon.com

amazon.com amazon.com

AMD Althon Processors, though back around year 2000, prices going up to $850! en.wikipedia.org

AMD site amd.com

HP EliteDesk 705 Workstation Edition AMD Ryzen™ PRO processors¹

AMD Ryzen, clock rates up to 3.7 Ghz! Prices up to $1k! en.wikipedia.org

extended precision, 80 bits, like on Intel 8087, this is what I am looking for. en.wikipedia.org

Some C/C++ implementations (e.g., GNU Compiler Collection (GCC), Clang, Intel C++) implement long double using 80-bit floating point numbers on x86 systems. However, this is implementation-defined behavior and is not required, but allowed by the standard, as specified for IEEE 754 hardware in the C99 standard "Annex F IEC 60559 floating-point arithmetic". GCC also provides __float80 and __float128 types.[29] D programming language implements real using largest floating point size implemented in hardware, 80 bits for x86 CPUs or double precision, whichever is larger. Object Pascal (Delphi) has in addition to SINGLE and DOUBLE, an EXTENDED type. The Racket run-time system provides the 80-bit extflonum datatype on x86 systems. The Swift standard library provides the Float80 datatype.

Okay, so GNU C/C++ does it for x86. But anything besides Intel?

SJG

extended precision for Linux x86 processors vinc17.net

IEEE-754 standard, includes 'extended precision' en.wikipedia.org lots of online paper links.

Beagle Board Black, $69 element14.com

NEON floating-point accelerator

developer.arm.com

BeagleBoard Green, $45 beagleboard.org

wiki.seeedstudio.com

datasheet PDF, 253 pages github.com

What Every Computer Scientist Should Know About Floating-Point Arithmetic docs.oracle.com

Floating Point Units en.wikipedia.org

en.wikipedia.org

Simply FPU, 2003 website.masmforum.com

superuser.com

Does anyone do 80 bits besides Intel?

SJG

Some talk about 80 bits:

devtalk.nvidia.com

Systems for multiprocessors and array processors

en.wikipedia.org

Intel Xeon processors dominated the multiprocessor market for business PCs and were the only major x86 option until the release of AMD's Opteron. ( do these do 80 bit floating point? )

Array Processing en.wikipedia.org

^^^^ more about signal processing than simulation

for plotting, though in Fortran

PLplot 'plplot.sf.net'

GNU, gcc, gfortran, gnuplot, of Free Software Foundation

Michael Metcalf, author very involved with Fortran.

SQLite, written in C. For Fortran there is fsqlite, developed by Markus.

SQLite developed by D. Richard Hipp, March 2012, 'sqlite.org'

PLplot, collection of libraries for plotting technical and scientific data

Tcl/Tk

Tklib, library of Tk extensions, 'tcllib.sf.net'

^^^^ works with GUI.

Gabriele Jost, Chapman, Ruud van der Pas, Using OpenMP: Portable Shared Memory Parallel Programming 2008.

Lusk, Gropp, Skjellum. Using MPI: portable parallel programming with message passing, 1999.

OpenMP and MPI are the two ways of doing parallel processing in Fortran.

Unit Testing, Junit is for java

For Fortran we have Funit, pfunit, FRUIT, and Ftnunit. All for Fortran or Fortran and Ruby.

Les Hatton, 'Safer C, Developing software for High-Integrity and Safety-critical systems' 1994

also: Code complete : [a practical handbook of software construction] / Steve McConnell Redmond, Wash. : Microsoft Press, [2004]

XML Files, a very practical kind of compromise idea in my opinion.

used extensively in docbook.

Making TEX work / Norman Walsh (1994)

DocBook 5: The Definitive Guide: The Official Documentation for DocBook, by Walsh Norman

Beyond Objectivism and Relativism: Science, Hermeneutics, and Praxis First Edition Edition by Richard J. Bernstein 1983, very good book

Circuit Design Using Personal Computers, by Thomas Cuthbert, 1983 ^^^ has at least one other book too.

So what I was looking for: OpenMP and MPI are the two ways of doing parallel processing, in Fortran, but probably works in C too.

SJG

Some previous threads:

OT: Computer Programming tuscl.net

Web Programming, HTML, CSS, and more tuscl.net

OT: Programmable Logic Devices tuscl.net

Looks really good: C++ without fear : a beginner's guide that makes you feel smart / Brian Overland. (2016)

Finite Elements For Electrical Engineers, Peter P. Silvester and Ronald L. Ferrari.

1996 third edition, but originally 1983.

Says to use Fortran, Pascal, or C.

But the examples in the book, dated 1995, are in Fortran.

TJ Street farm6.staticflickr.com

If you're reading this @Drake: Posting the wall-of-text is more fucking annoying than anything @SJG posts. Not original or funny.

OpenMP and MPI are the two ways of doing parallel processing.

Says OpenMP works with C and Fortran, and on Windows, Linux, and MacOS.

en.wikipedia.org

"OpenMP is managed by the nonprofit technology consortium OpenMP Architecture Review Board (or OpenMP ARB), jointly defined by a group of major computer hardware and software vendors, including AMD, IBM, Intel, Cray, HP, Fujitsu, Nvidia, NEC, Red Hat, Texas Instruments, Oracle Corporation, and more.["

MPI=Message Passing Interface, its for parallel computing and it works with C and Fortran, and some other stuff too like Java, Python, R, and MatLab.

en.wikipedia.org

Says it is a defacto standard.

Example C program:

en.wikipedia.org

So obviously I need more than the Wikipedia. I need books, and then online info and downloads.

Using advanced MPI : modern features of the Message-Passing-Interface / William Gropp, Torsten Hoefler, Rajeev Thakur, and Ewing Lusk (2014 caution)

An introduction to parallel programming / Peter S. Pacheco. (2011)

Parallel programming in C with MPI and openMP / Michael J. Quinn. (2004)

Today I think it has been established that Fortran is still part of the present, not just retro. But are the reasons only legacy? Do not know.

I've talked about building an organization. As should be obvious by now, one of its primary functions will be as Think Tank. Can't know everything alone.

SJG

SJG Portal sites.google.com

Trump, separating children and parents: democracynow.org

Vatican Canonizes Salvadoran Archbishop Óscar Romero, Who Was Killed by a U.S.-Backed Death Squad democracynow.org

They tried to film this in El Salvador, but they quickly got ejected. So it was filmed in Mexico.

Romero (1989) Trailer - John Duigan, Raul Julia youtube.com

youtube.com

imdb.com

Pope Francis Canonizes, Oscar Romero ( and this has been long awaited ) youtube.com

and more democracynow.org

Missouri Woman Fired For Blocking Black Man From Entering Apartment Complex yahoo.com

The Jeff Healey Band - While My Guitar Gently Weeps (live), anyone know who the black girl is? youtube.com

Robin Trower - Full Concert - Rockpalast Crossroads, Bonn - 2005 youtube.com

TJ Street farm6.staticflickr.com

Claude Shannon en.wikipedia.org

The logician and the engineer : how George Boole and Claude Shannon created the information age / Paul J. Nahin. (2013)

The mathematical theory of communication / Claude E. Shannon and Warren Weaver ; foreword by Richard E. Blahut and Bruce Hajek (1998)

Shannon-Hartley Theorem en.wikipedia.org

SJG

Deconstructing Gurdjieff : biography of a spiritual magician / Tobias Churton. (2017 Inner Traditions)

Bruce Chilton youtube.com

TJ Steet farm6.staticflickr.com

farm8.staticflickr.com

c2.staticflickr.com

c2.staticflickr.com

c1.staticflickr.com

c2.staticflickr.com

c2.staticflickr.com

i1.ytimg.com

Jeff Healey, While My Guitar Gently Weeps youtube.com

Dragnet 106 "The Bank Examiner Swindle" Original Air Date February 23, 1967 youtube.com

Joe Bonamassa - "Midnight Blues" - Beacon Theatre - Live From New York youtube.com

Here's Why the Ferrari Portofino Is Worth $250,000 youtube.com

Here's Why the Ferrari F40 Is Worth $1.3 Million youtube.com

The Lamborghini Diablo Was the Craziest Car of the 1990s ( Diablo was a really wild car. Much better designed than Contach ) youtube.com

Joe Bonamassa - "Sloe Gin" - Muddy Wolf at Red Rocks youtube.com

So much math now depends upon computers to get any sense of it, like this bifurcation topic.

en.wikipedia.org

amazon.com

SJG

Another book I have never even had the chance to crack open:

Simplexity : why simple things become complex (and how complex things can be made simple) / Jeffrey Kluger (2008)

amazon.com

SJG

TJ Street

farm6.staticflickr.com

c1.staticflickr.com

adelitasbartijuanamexico.com

farm4.static.flickr.com

From calculus to chaos : an introduction to dynamics / David Acheson. (1998)

amazon.com

and:

amazon.com

SJG

Baker Gurvitz Army youtube.com

wickedtemptations.com

wickedtemptations.com

wickedtemptations.com

TJ Street farm6.staticflickr.com

c1.staticflickr.com

tuscl.net

farm4.static.flickr.com

So what Randall Hyde is saying about the Intel processors and assembly language. So with the 386 mode, the 32 bit capability came in, if put into that mode. But MS-DOS could never use that mode. So that would wait until Windows 3.

So the main registers are all now 32 bit mode.

Okay, but there are some 64 bit registers, and maybe a 128 bit register? You used different op codes to access those. So compatibility is maintained.

And then for floating point, you have 80 bit registers. These are in a stack of 8, and it is POSTFIX, just like on an HP Calculator.

And Hyde confirms that this is in most all Intel processors.

So I am not sure if this is the most current info, 2010, but still good info. 80bit floating point is really good, and big improvement over the 64 bits for the ARM processors.

SJG

JS69 Front Room Makeout Session tuscl.net

wickedtemptations.com

wickedtemptations.com

wickedtemptations.com

wickedtemptations.com

lingeriediva.com

Joe Bonamassa - "Midnight Blues" - Beacon Theatre - Live From New York youtube.com

Beth Hart and Joe Bonamassa- I'd Rather Go Blind youtube.com

Joe Bonamassa - "Sloe Gin" - Muddy Wolf at Red Rocks youtube.com

TJ Street farm6.staticflickr.com

c1.staticflickr.com

adelitasbartijuanamexico.com

farm4.static.flickr.com

God in the 21st Century: Bishop John Shelby Spong youtube.com

Bishop John Shelby Spong(9am) - "From a Tribal God to a Universal Presence: The Story Of The Bible" youtube.com

GNU Math gnu.org

Hyperbolics gnu.org

GNU C Library gnu.org

Adding New Functions gnu.org

GNU .org gnu.org

GNU Packages, 402 of them directory.fsf.org

16062 approved packages directory.fsf.org

Mathematics Category directory.fsf.org

Calc is an arbitrary precision arithmetic system that uses a C-like language. It's useful as a calculator, an algorithm prototype, and as a mathematical research tool. More importantly, calc provides a machine-independent means of computation. directory.fsf.org

isthe.com

calc: C-style arbitrary precision system ( arbitrary precision is no small task ) sourceforge.net

calc 2.12.6.8 sourceforge.net

seems to genuinely be written in C, but I am still not seeing real source code.

Gnuplot, well known, 5 meg download sourceforge.net

GZ file means winzip

SJG

JS69's Front Room Makeout Session, but because he is so cranky he describes it in negative terms and blames it on the girl. tuscl.net

TJ Street mail.google.com

c1.staticflickr.com

adelitasbartijuanamexico.com

farm4.static.flickr.com

So again, GNU C Library, Mathematics gnu.org

Top gnu.org

gnu.org

Now I understand, this is just the standard library you use with the C compiler.

GNU.org gnu.org

Short Descriptions of All GNU Packages gnu.org

Archimedes, Semiconductor Device Simulation gnu.org

AUCTEX, can write TEX files in GNU Emacs text editor gnu.org

Automake, part of GNU build gnu.org

libavl, binary and balanced tree routines adtinfo.org

Bash, the GNU command shell, compatible with Borne Shell, but also with features of Korn Shell and C Shell gnu.org

bc, arbitrary precision numerics processing language gnu.org

GNU MathProg modeling ?

74 page pdf gusek.sourceforge.net

SJG

jbonamassa.com

Joe Bonamassa - "Sloe Gin" - Muddy Wolf at Red Rocks youtube.com

And now his own forum, harmonic notes: forum.jbonamassa.com

Midnight Blues youtube.com

Guitar Harmonics en.wikipedia.org

Beth and Joe - Black Coffee ( a Steve Marriott song, quite a vocal legend to try and imitate ) youtube.com

Beth and Joe - I'd Rather Go Blind ( Live Amsterdam ) youtube.com

Robin Trower, live ( more harmonic notes ) youtube.com

So Walter Rudin in 1966 wrote: Real and complex analysis

Table Of Contents:

Preface

Prologue: The Exponential Function

Chapter 1: Abstract Integration

Set-theoretic notations and terminology

The concept of measurability

Simple functions

Elementary properties of measures

Arithmetic in [0, infinity]

Integration of positive functions

Integration of complex functions

The role played by sets of measure zero

Exercises

Chapter 2: Positive Borel Measures

Vector spaces

Topological preliminaries

The Riesz representation theorem

Regularity properties of Borel measures

Lebesgue measure

Continuity properties of measurable functions

Exercises

Chapter 3: L^p-Spaces

Convex functions and inequalities

The L^p-spaces

Approximation by continuous functions

Exercises

Chapter 4: Elementary Hilbert Space Theory

Inner products and linear functionals

Orthonormal sets

Trigonometric series

Exercises

Chapter 5: Examples of Banach Space Techniques

Banach spaces

Consequences of Baire's theorem

Fourier series of continuous functions

Fourier coefficients of L¹-functions

The Hahn-Banach theorem

An abstract approach to the Poisson integral

Exercises

Chapter 6: Complex Measures

Total variation

Absolute continuity

Consequences of the Radon-Nikodym theorem

Bounded linear functionals on L^p

The Riesz representation theorem

Exercises

Chapter 7: Differentiation

Derivatives of measures

The fundamental theorem of Calculus

Differentiable transformations

Exercises

Chapter 8: Integration on Product Spaces

Measurability on cartesian products

Product measures

The Fubini theorem

Completion of product measures

Convolutions

Distribution functions

Exercises

Chapter 9: Fourier Transforms

Formal properties

The inversion theorem

The Plancherel theorem

The Banach algebra L¹

Exercises

Chapter 10: Elementary Properties of Holomorphic Functions

Complex differentiation

Integration over paths

The local Cauchy theorem

The power series representation

The open mapping theorem

The global Cauchy theorem

The calculus of residues

Exercises

Chapter 11: Harmonic Functions

The Cauchy-Riemann equations

The Poisson integral

The mean value property

Boundary behavior of Poisson integrals

Representation theorems

Exercises

Chapter 12: The Maximum Modulus Principle

Introduction

The Schwarz lemma

The Phragmen-Lindelöf method

An interpolation theorem

A converse of the maximum modulus theorem

Exercises

Chapter 13: Approximation by Rational Functions

Preparation

Runge's theorem

The Mittag-Leffler theorem

Simply connected regions

Exercises

Chapter 14: Conformal Mapping

Preservation of angles

Linear fractional transformations

Normal families

The Riemann mapping theorem

The class µ

Continuity at the boundary

Conformal mapping of an annulus

Exercises

Chapter 15: Zeros of Holomorphic Functions

Infinite Products

The Weierstrass factorization theorem

An interpolation problem

Jensen's formula

Blaschke products

The Müntz-Szas theorem

Exercises

Chapter 16: Analytic Continuation

Regular points and singular points

Continuation along curves

The monodromy theorem

Construction of a modular function

The Picard theorem

Exercises

Chapter 17: H^p-Spaces

Subharmonic functions

The spaces H^p and N

The theorem of F. and M. Riesz

Factorization theorems

The shift operator

Conjugate functions

Exercises

Chapter 18: Elementary Theory of Banach Algebras

Introduction

The invertible elements

Ideals and homomorphisms

Applications

Exercises

Chapter 19: Holomorphic Fourier Transforms

Introduction

Two theorems of Paley and Wiener

Quasi-analytic classes

The Denjoy-Carleman theorem

Exercises

Chapter 20: Uniform Approximation by Polynomials

Introduction

Some lemmas

Mergelyan's theorem

Exercises

Appendix: Hausdorff's Maximality Theorem

Notes and Comments

Bibliography

List of Special Symbols

^^^^^^ I love this stuff!

looking for a particular book, but I do find:

Fundamentals of complex analysis for mathematics, science, and engineering / E. B. Saff, A. D. Snider. (1976)

SJG

Lady Zep youtube.com

Led Zeppelin Heartbreaker / Living Loving Maid (She's Just a Woman) youtube.com

So what else do we have from Walter Rudin?

Principles of Mathematical Analysis, his first, but then a second edition Fourier analysis on groups 1962, seems to be his second book Real and Complex Analysis his 3rd book

But we can just go by this:

en.wikipedia.org

I want to read and understand most all of his stuff

SJG

SJG

Story of O Dress fap.to fap.to

So reading Michael Benedikt, Cyberspace first steps. Mathematics is a big part of what he is talking about.

So I want to record some of his references:

Dana Z. Anderson, ed. Neural Information Processing Systems, 1988

Ross W. Ashby, Variety, Constraint, and the Law of Requisite Variety, in An Introduction to Cybernetics, 1956

Richard Dawkins, The Blind Watchmaker, 1987

Gerald M. Edelman, Neural Darwinism: The THeory of Neuronal Group Selection, Basic Books, 1987

Gerald M. Edelman, The Remembered Present: A Biological Theory of Consciousness, Basic Books, 1990

Matthew L. Ginsberg, ed., Readings in Nonmonotonic Reasoning, 1987

Christopher G. Langton, ed., Artificial Life, 1989

Carver Mead, Analog VLSI and Neural Systems 1989

Dynamic Patterns in Complex Systems 1988

seems to be Dynamic patterns : the self-organization of brain and behavior / J.A. Scott Kelso. (1995)

Thompson and Stewart, Nonlinear Dynamics and Chaos, 1986

Weber, Depew, Smith, eds., Entropy, Information, and Evolution, 1988

L. A. Zadeh,

and a chapter author with Autodesk, brilliant man:

Carl Tollander

Brenda Laurel en.wikipedia.org

SJG

Waring of Rising Nationalism independent.co.uk

abc.net.au

realclearpolitics.com!

Adam Hochschild democracynow.org

Tomb of the Unknown Soldier, underneath the Arch of Triumph, should be visible from this East side angled view google.com

paris-pictures.com

en.wikipedia.org

architecturebehindmovies.files.wordpress.com

Theatre Chochotte - Paris a403.idata.over-blog.com

Hookers in Paris smallworldtravels.com

Baker Gurwitz youtube.com

Eric Clapton May 26, 2018 Complete show youtube.com

So finishing up with Michael Benedikt, Cyberspace first steps. Mathematics is a big part of it.

So he talks about non-Euclidean Geometry. As I know, this is geometry without the seventh postulate, that parallel lines never cross.

He says the two people who pursued this, in the 19th Century, are:

Nikolai Lobachevsky en.wikipedia.org

en.wikipedia.org

János Bolyai en.wikipedia.org

en.wikipedia.org

Introduction to non-Euclidean geometry / Harold E. Wolfe (2012, Dover Publications (always good) )

SJG

Chicago: Police Shoot and Kill a Black On-Duty Security Guard

" In the Chicago suburb of Midlothian, a black security officer was shot and killed by a white police officer Sunday as he was restraining a shooting suspect while on duty at a bar. Twenty-six-year-old Jemel Roberson reportedly grabbed and held a bar patron to the ground after the patron opened fire early Sunday morning. When police officers arrived on the scene, witnesses say Roberson was immediately shot, despite people at the bar screaming that he was a security guard. At the time, Roberson was armed and held a valid gun owner’s license. One patron who witnessed the killing said the cops “saw a black man with a gun, and basically killed him.” An autopsy Monday concluded that Roberson’s death was a homicide. "

democracynow.org

George Spencer-Brown, The Laws of Form (2 April 1923 – 25 August 2016) en.wikipedia.org

web.archive.org

But also, using the name James Keys, he wrote, "Only Two Can Play This Game", its about relations between men and women.

But a Dirk Baeker wrote: A Calculus for Autopoiesis, trying to use the Laws of Form mathematics for the ideas of Maturana and Varela. No one else has done this.

researchgate.net

We also have this book Living Systems amazon.com

I know though from having examined the book, that Maturana and Varela wrote their own book using the math of Spencer-Brown, the special symbols.

SJG

Rosicrucian Order AMORC San Jose

pansophers.com

amorc.org

salemos.tripod.com

sites.google.com

terragalleria.com

rosicrucian.org

678d7c627720ddde2df2-c5b158543cb4b709e42fdf5583590d2f.ssl.cf5.rackcdn.com

AMORC Paris

upload.wikimedia.org

blog-rose-croix.fr

fm-mag.fr_

AMORC, location unknown esoblogs.net

AMORC, NY illustration from long ago?

amorc.org.uk

AMORC, probably Brazil amorc.org.br

magiadourada.com.br

????? c8.alamy.com

Free Masons i.pinimg.com

BOTA, illustration, based in Los Angeles files.abovetopsecret.com

AMORC, Atlantis rosicrucian.org

AMORC, unknown i.pinimg.com

Brian Eno - Ambient 1: Music for Airports [Full Album] youtube.com

Living systems : an introductory guide to the theories of Humberto Maturana & Francisco Varela / Jane Cull. (2000)

Maturana and Varela provided some of the first conceptual works which really challenged me!

SJG

youtube.com

Bernhard Riemann en.wikipedia.org

Riemann, topology, and physics / Michael Monastyrsky ; with a foreword by Freeman J. Dyson. (1999)

SJG

Saturday I reported on a man who had vanished from a 49er's stadium game the previous Monday. Saturday they found a body in the water near the old unused Alviso Marina and some old concrete boat ramps. The stuff is unused because silt comes in from the bay and fills it up.

I have years ago explored all around there. It is interesting, but even in the day time potentially dangerous. I once got stuck hip deep in mud and a shoe came off. Getting my foot back into the shoe I was able to recover it. But I was taking more risks in doing so.

This man was in the military, maybe Special Forces. So likely he handles himself quite well in the outdoors, even at night.

Not sure if any conclusions have been reached, but to me it sounds more and more like a suicide. Left his cell phone, battery run down to zero, in his car at the stadium. Also left his girl friend and her two kids there. But talking on the phone and using video up until the point he vanished.

590kqnt.iheart.com

khq.com

Here SJPD say that the body was found floating face down about 1 mile out from the Marina and the Ramps. yahoo.com

heavy.com

I believe that police probably have more tidbits of information which they are not going to disclose until they are ready to close the case.

In a homicide it is usually those closest to the deceased who did it, and they are exposed by the contradictions in their stories. To me, this is sounding more and more like a suicide.

Here it sound like he was found at the boat launch, though those concrete ramps are unusable do to silt. thespun.com

oxygen.com

Still waiting to hear that they have confirmed the identity, and then of course for any conclusions.

ksro.com

Jeff Healey Band, full concert youtube.com

Theatre Chochotte, Paris bird-production.com

a403.idata.over-blog.com

Here, outside view, use zoom outs and changing back to maps to see exactly where this is:

google.com

Inside scene google.com

34 Rue Saint-André des Arts, 75006 Paris, France

Here: google.com

Very close to the Seine

and to the Luxembourg Gardens park.

cdn.kabook.fr

i.pinimg.com

info.xineurope.com

Here, their own page: theatre-chochotte.com

theatre-chochotte.com

theatre-chochotte.com

theatre-chochotte.com

Emmanuel Marcon ‘Patriotism is the exact opposite of nationalism. Nationalism is a betrayal of patriotism’ independent.co.uk

The US and Russian leaders listened in silence as Mr Macron took a swipe at the rising tide of populism in the US and Europe, warning: “The old demons are rising again, ready to complete their task of chaos and of death.”

“In saying, ‘Our interests first, whatever happens to the others’, you erase the most precious thing a nation can have, that which makes it live, that which causes it to be great and that which is most important: its moral values.”

abc.net.au

abc.net.au

nytimes.com

EXPLORING PARIS: The Red Light Sex Shop Area (Pigalle) youtube.com

khq.com

Want to come up with a core list of mathematics books. SJG

Engineering electromagnetics / William H. Hayt, Jr., John A. Buck. (2012)

a much loved book from way back Div, grad, curl, and all that : an informal text on vector calculus / H.M. Schey. (2005)

SJG

amazon.com

An Introduction to Heidegger: Being and Time youtube.com

Bill Moyers, Forrest Church Interview youtube.com

Stravinsky: The Firebird / Gergiev · Vienna Philarmonic · Salzburg Festival 2000 youtube.com

So you folks like these no proscenium concert halls?

Disney Music Center meyersound.com

San Jose Center for the Performing Arts, not designed that way. c2.staticflickr.com

TJ Street farm8.static.flickr.com

farm8.staticflickr.com

c2.staticflickr.com

c1.staticflickr.com

Lots of Junior year electromagnetics books:

real old one, 1963 amazon.com

amazon.com

Roger F. Harrington, reprinted by Dover amazon.com

and amazon.com

Electromagnetic Fields and Waves - Lorrain and Corson and is this really the whole book made into a PDF? zuj.edu.jo

Electromagnetic fields and waves : including electric circuits / Paul Lorrain, Dale R. Corson, François Lorrain 1988

But the one I have found to be the most demanding, and a new one at that, gets into relativity and tensor analysis: Introduction to electrodynamics / David J. Griffiths (Reed College, Oregon) (2017)

SJG

The Jeff Healey Band - Live In Belgium (Full Concert 1993) youtube.com

TJ Street

farm8.static.flickr.com

farm8.staticflickr.com

c2.staticflickr.com

c1.staticflickr.com

Cantor Sets?

en.wikipedia.org

Old calculus book talk about this. I is necessary for getting people to understand real numbers. Today people just take it all for granted, already adapted to computerization of math.

This is why we still need access to old books, as well as new.

Modern calculus and analytic geometry / Richard A. Silverman (2002, but originally published 1969, republished by Dover )

store.doverpublications.com

doverpublications.ecomm-search.com

Richard A. Silverman is good.

And so is Dover Publications.

amazon.com

SJG

Why I Left an Evangelical Cult | Dawn Smith | TEDxNatick youtube.com

The Broken Scales Of Wendy Carlos youtube.com

Wendy Carlos Alpha Scale youtube.com

Music Revolutionaries - Robert Moog & Wendy Carlos youtube.com

Equal Temperament vs Just Intonation youtube.com

Why Not Admit There is a Problem With Math and Music? Dan Formosa at TEDxDrexelU youtube.com

Serious Earthquakes In Alaska yahoo.com

If we have justice, then no one will ever be without what they need.

If we do not have justice, then money will never be a reliable substitute.

Medicare For All democracynow.org

Bernie Sanders, Economic Justice democracynow.org

So as I want to be reading good math books, and Richard A. Silverman and Dover Publications look good, which do I want to read first?

Let it be: Modern calculus and analytic geometry / Richard A. Silverman.

And he has lots of books: csul.iii.com

As my organization develops I will want to be buying books, instead of borrowing, as sharing books in our libraries will be yet another of the things which helps bind the group together. We will make our own catalog software, and we will be able to make comments on the books and compile lists of recommendations. So if I am going to take the time to read it, even if it only turns out to be so so, still better to have bought it.

SJG

Highest gender wage gap in the Bay Area: mercurynews.com

TJ Street farm8.static.flickr.com

farm8.staticflickr.com

c2.staticflickr.com

c1.staticflickr.com

The Cube oF Space and the 22 Paths Of initiation youtube.com

⚡️ Arcanum 1⚡️ The Magician ⚡️ Tarot & Alchemy And Kabbalah youtube.com

I think Richard Silverman wrote forwards or something to other books.

doverpublications.ecomm-search.com

The Dover Physics books don't have the same timelessness to them. But this 1967, still relevant, at least as a background: store.doverpublications.com

Also very good and related:

Out of the crystal maze : chapters from the history of solid state physics / edited by Lillian Hoddeson ... [and others] (1992)

amazon.com

Euclid's Elements on some of the Great Books Lists:

en.wikipedia.org

SJG

So Elements is actually 13 books, written by Euclid in Alexandria, about 300 BC.

Considered the most successful math text book ever. Second only to the Bible in number of editions printed.

" Proclus (412–485 AD), a Greek mathematician who lived around seven centuries after Euclid, wrote in his commentary on the Elements: "Euclid, who put together the Elements, collecting many of Eudoxus' theorems, perfecting many of Theaetetus', and also bringing to irrefragable demonstration the things which were only somewhat loosely proved by his predecessors". "

Is this the same Proclus who influenced Pseudo Dionysus?

Proclus Lycaeus (/ˈprɒkləs laɪˈsiːəs/; 8 February 412 – 17 April 485 AD), called the Successor (Greek Πρόκλος ὁ Διάδοχος, Próklos ho Diádokhos), was a Greek Neoplatonist philosopher, one of the last major classical philosophers (see Damascius). He set forth one of the most elaborate and fully developed systems of Neoplatonism. He stands near the end of the classical development of philosophy, and was very influential on Western medieval philosophy (Greek and Latin). en.wikipedia.org

Yes, indeed, he is the influence behind Pseudo- Dionysus, and others of the Renaissance.

" Proclus can be considered as the spokesman of mature Neoplatonism. His works had a great influence on the history of western philosophy. The extent of this influence, however, is obscured by the channels through which it was exercised. An important source of Procline ideas was through the Pseudo-Dionysius.[5] This late-5th- or early-6th-century Christian Greek author wrote under the pseudonym Dionysius the Areopagite, the figure converted by St. Paul in Athens. Because of this fiction, his writings were taken to have almost apostolic authority. He is an original Christian writer, and in his works can be found a great number of Proclus's metaphysical principles. "

Proclus Lycaeus Proclus Lycaeus

goddess-athena.org

web.archive.org

The anatomy of Neoplatonism / A.C. Lloyd. (1990)

Plotinus : ǂb The Enneads The enneads / Plotinus ; edited by Lloyd P. Gerson, University of Toronto ; translated by George Boys-Stones, Durham University, John M. Dillon, Trinity College, Dublin, Lloyd P. Gerson, University of Toronto, R.A.H. King, University of Berne, Switzerland, Andrew Smith, University College, Dublin, James Wilberding, Ruhr-Universitat Bochum. (2018) over 900 pages.

All from one : a guide to Proclus / edited by Pieter d'Hoine and Marije Martijn ( 400 plus pages, 2017 )

SJG

TJ Street farm8.staticflickr.com

WARNING - The following accounts are considered to be forum trolls and may not be trustworthy:

san_jose_guy - commonly referred to as SJG this forum member is usually mocked or ignored, his comments should NOT be taken in any way as legitimate

So continuing here with this article, Why Physicists Still Use FORTRAN moreisdifferent.com

So I guess they are saying that it has legacy code and that it is just easier to use for people who do not have a major commitment to professional grade programming and complex applications.

So this settles it for me, no reason to worry why R has some parts written in fortran. As far as using fortran legacy code, no problem. As far as writting parts of some stuff in fortran, probably only if it connects somehow to some of the other code.

As far as performance, for math it is the same as C. Intel, Microsoft, and Cray offer both C/C++ and Fortran.

This settles the matter for me.

SJG

Egg Cream - Lou Reed youtube.com

The Velvet Underground -- Oh! Sweet Nuthin' youtube.com

X - The Have Nots youtube.com

youtube.com

X Some Other Time youtube.com

youtube.com

X - Los Angeles youtube.com

Daily Digit: Believe it or not, Chicago is not the murder capital of the U.S. news.yahoo.com

"But when adjusting for its large population, Chicago has fewer deaths per capita than many other cities. St. Louis has had the nation’s highest murder rate for the past four years, followed by Baltimore, Detroit, New Orleans and Baton Rouge."

Farm, Psychedelic Blues-Rock 1971 youtube.com

Steppenwolf - The Pusher youtube.com

Magic Carpet Ride youtube.com

Fairies Wear Boots - Black Sabbath youtube.com

Paranoid - Full Album youtube.com

TJ Street farm8.static.flickr.com farm8.staticflickr.com c2.staticflickr.com

Naked Woman On The Altar - Church of Satan youtube.com

youtube.com

churchofsatan.com

aleisternacht.files.wordpress.com

What these guys do is interesting, but what my organization will do will be vastly superior!

Bourbaki: A Secret Society of Mathematicians bookstore.ams.org

britannica.com

The Bourbaki writings commenced in 1939 with the first volume of their Éléments de mathématique (“Elements of Mathematics”). The still-incomplete series of more than 30 monographs soon became a standard reference on the fundamental aspects of modern mathematics. The various historical notes included at the ends of chapters were published as a collection in 1960 in Eléments d’histoire des mathématiques (“History of the Elements of Mathematics”).

en.wikipedia.org

First learned of these guys from Deleuze and Guattari's "A Thousand Plateaus".

Seen one of their books on sale, back when we used to have some awesome bricks and mortar bookstores, "Tech Guru".

SJG

Says that the Bourbaki folks were admirers of David Hilbert.

SJG

I've said much critical about college. But it was in college that for the first time in my life I found people who actually knew things and used their brains in ways which were worthy of an adult. It was in various departments, but mostly it came down to those who could apply a mathematically based understanding, and this usually meant based on calculus. It was in some of the faculty.

Though I first encountered this in college, I have always had reservations about preparing for any kind of a career which would make me bound to academia.

Need other kinds of venues, and this is indeed what I am working on intensely now.

SJG

Rarely are people called upon to show moral the kind of moral courage needed by those who served in French Resistance

Nancy Wake: Gestapo's Most Wanted youtube.com

amazon.com

Gary Clark Jr. - Bright Lights and notice Doyle Bramhall II, playing left handed and with a left hander's body, but with it strung for a right hander. Look close and you can see this, and if you listen to him play and watch close you can hear it. He learned always using borrowed guitars from right handers youtube.com

Bourbaki : a secret society of mathematicians / Maurice Mashaal ; translated by Anna Pierrehumbert. (2006)

SJG

The Jeff Healey Band - Live In Belgium (Full Concert 1993) youtube.com

i thot this was gon be about counting money or how to remember how many shots of patron yo ass crushed last night.

disappointed in yo ass SJG.

Lill_Baller100, seriously, are you suicidal?

The Princeton companion to mathematics / editor, Timothy Gowers ; associate editors, June Barrow-Green, Imre Leader. (2008, over 1000 pages)

A panorama of pure mathematics, as seen by N. Bourbaki / Jean Dieudonné ; translated by I.G. Macdonald. (1982)

SJG

The Theosophical Society in America: An Illustrated History youtube.com

" A pre-Socratic Greek philosopher who lived circa 582-507 B.C. Although the neo-Platonists Proclus (circa 232-304) and Porphyry (410?-484) both wrote biographies of him, little is known historically about his life. He was born on the Greek island of Samos, but migrated to Italy (called Magna Graecia in his day) and founded a school at Krotona, which taught an esoteric doctrine to a group of disciples who revered Pythagoras as a demigod. He and his ideas appear frequently in Theosophical literature, such as The Secret Doctrine and Isis Unveiled by Helena P. Blavatsky, The Masters and the Path by Charles W. Leadbeater, and The Lives of Alcyone by Leadbeater and Annie Besant. In the last two books, Pythagoras is identified as a previous incarnation of Mahātma Koot Hoomi, one of Blavatsky’s teachers. "

theosophyforward.com

So the Krotona name is from a school which Pythagoras founded in Italy

SJG Official Parking Lot Bouncer

As Most Diverse Congress in History Takes Office, Dems Push to End Shutdown Without Funding for Wall democracynow.org

'Leaked' Video Of Alexandria Ocasio-Cortez Proves She... Has Friends, Can Dance yahoo.com

youtube.com

youtube.com

Edwin Starr youtube.com

youtube.com

War - The World Is a Ghetto 1972 Full Album youtube.com

How To Tell If Someone Is Truly Smart Or Just Average getpocket.com

TJ Street farm8.static.flickr.com c2.staticflickr.com farm8.staticflickr.com c2.staticflickr.com

Warren Haynes ­with Joe Bonamassa -- Guitar Center's King of the Blues 2011 youtube.com

Beth & Joe - I'd Rather Go Blind - Live in Amsterdam youtube.com

Beth & Joe - I Love You More Than You'll Ever Know - Live in Amsterdam youtube.com

Amazing Performance by Gary Clark Jr. - When My Train Pulls In youtube.com

AMMONIUS SACCUS , originator of Theosophy, his ideas were expounded upon by Plotinus and Porphyry theosophydownunder.org

theosophy.wiki

universaltheosophy.com

From MPH's Secret Teaching of All Ages 66.media.tumblr.com

Max Heindel writting about Blavatsky's Secret Doctrine, introduced by Manly P. Hall amazon.com

SJG

SJG's New Headquarters, coming soon to a strip club parking lot near you.

12' x 20', and with over 9' of center stand up height. cabelas.com

TJ Street farm8.static.flickr.com c2.staticflickr.com farm8.staticflickr.com c2.staticflickr.com

Nirvana-Come as you are lyrics youtube.com

Casino Royale 1967 Sound Track Album youtube.com

Mobile Kitchens, by Carlin, Fresno CA kitchenstogo.com just saw one built in a huge 24,000 GVWR Walk-In Van, still okay for Class C License, huge diesel auxiliary power unit.

Mister Bond - A Jazzy Cocktail Of Ice Cold Themes youtube.com

Sexiest Ladies of Jazz - The Trilogy! - Full Album - New 2017 youtube.com

Soundgarden Half, playlist youtube.com

Mitch Horowitz: H. P. Blavatsky, Manly P. Hall, and the Secret Teachings of all Ages ( really good ) youtube.com

Taco Bell, awesome promotional events food truck. Not sure how many they have.

mobile-cuisine.com

mobile-cuisine.com

Running a Food Truck for dummies amazon.com

SJG

New Field Headquarters, In The Parking Lot cabelas.com

Donald Trump pixel.nymag.com jeff healey live at nottoden 2006 youtube.com

AC/DC - Girls Got Rhythm ( and with the original lead singer, which I have always found to be one of the group's best features. Clever song, and in my opinion underplayed. youtube.com

Female Tribute Band youtube.com

Amy Winehouse/Paul Weller - I heard it through the grapevine.Hootynanny 2006. youtube.com

Amy Winehouse I love you more than you'll ever know LIVE youtube.com

Gary Clark Jr. - Bright Lights youtube.com

So Manly Palmer Hall knew a great deal about Pythagoras, book on my list now:

amazon.com

Pythagoras, his life and teachings : being a photographic facsimile of the ninth section of the 1687 edition of the History of philosophy / by Thomas Stanley ; foreword by Manly P. Hall ; introductory essay by Henry L. Drake.

And published by PRS ( Philosophical Research, Hall's org 1970)

Some is right here: amazon.com

SJG

Steve Blank, Lean Startup Model

en.wikipedia.org

steveblank.com

Baker Gurvitz Army - Love Is / Memory Lane / Drum Solo / People - Live 1975 (Remastered) HD youtube.com

Deep Purple - Lazy youtube.com

THE MOODY BLUES - RIDE MY SEE-SAW youtube.com

THE GUESS WHO - NO TIME youtube.com

College can have good, but it can have bad also. It was in college that I first say that there were adults who used their brains. They knew things worthy of an adult. Never seen that before. Mostly it came to mathematical insights. It was in multiple departments, some of the faculty.

But there can also be bad. If a young man wants to study and learn, that can make him into a target for scorn and contempt, and even for exploitation. And sorry to say, its just the way our society is set up, I see this targeting as coming from women.

The organization I am building will remedy all of this.

SJG

Steve Blank en.wikipedia.org

steveblank.com

So what is this?

amazon.com

What is this for and how does this work?

zyxel.com

en.wikipedia.org

newegg.com

en.wikipedia.org

SJG

Ep. 008 - Legends of the Craft: Freemasonry and the Tower of Babel youtube.com

Now this is Le Droit Humaine, Phoenix, and after the Universal Co-Masons separated youtube.com

See, the guy has got two books white with a red band, and two more white with a blue band. Well those are Blavatsky's Isis Unveiled and The Secret Doctrine.

Darren Lorente-Bull - Le Droit Humain Freemasonry youtube.com

Ep 25 The History Behind Le Droit Humain youtube.com

Ro Khanna: Regime Change Is Not the Answer youtube.com

The Ancient War Between Gnostics and Neoplatonists youtube.com

Apocalypse of the Alien God: Platonism and the Exile of Sethian Gnosticism amazon.com

Apocalypse of the alien god : Platonism and the exile of Sethian gnosticism / Dylan M. Burns (2014)

jeff healey live at nottoden 2006 youtube.com

What is this, how does it work? zyxel.com

355 pages ftp://ftp2.zyxel.com/NAS326/user_guide/NAS326_V5.21%20ed2.pdf

SJG

Saw this woman's picture somewhere and it reminded me: youtube.com

e-chords.com

But while most all the videos for this song are clearly lip sync, and they even require people playing instruments not shown on stage, I have finally found this: youtube.com

I'm not against acoustic guitar, its just that I like electric guitar music so much. And electric guitar can do things which acoustic guitar cannot. Needs to feel like you are there with them, not like it is just a contrived television show. Letting this finally be the psychedelia it was intended to be.

Richard Smoley: Magic and the Occult youtube.com

Ecstasy of St. Teresa s3.amazonaws.com

Ferdinand de Saussure en.wikipedia.org

Heart - All I Wanna Do Is Make Love To You youtube.com

tabs.ultimate-guitar.com

Richard Feynman. Why. ( magnets ) youtube.com

Mike Oldfield - Tubular Bells III CONCIERTO youtube.com

Conscious Love: Insights from Mystical Christianity, by Richard Smoley amazon.com

So you can put a 128 Gbyte SD card into some of these. Otherwise it looks like it is SATA Hard Disks.

Personal Cloud, kind of like an external hard drive. And they explain how to do backups.

SJG

Foxconn, based in Taiwan en.wikipedia.org

foxconn.com

Nano PC, video youtube.com

Foxconn Nano PC AT-7330 Intel Core i3 (i3-3227U) 1.9Ghz 4GB DDR3 250GB HDD ( sale price, refurbished, $142, 250 GB hard disk ) pcliquidations.com

SJG

TJ Street c2.staticflickr.com

Jefferson Airplane 5-7-1970 Fillmore East Complete Show youtube.com

Richard Smoley - The Kabbalah: Key to Hidden Knowledge youtube.com

Bubble Memory, used to often hear about this being used for harsh environment industrial PC's. How does it work? Still used?

en.wikipedia.org

Says that Bubble disappeared entirely by the late 1980's, and mostlly due to Semi-Conductor Flash.

But what about the write cycle limits?

SJG

Jimi Hendrix Live Full Concert 1969 Amazing Clear Footage youtube.com

TJ Street farm8.static.flickr.com farm8.staticflickr.com adelitasbartijuanamexico.com farm8.static.flickr.com flickr.com c2.staticflickr.com c2.staticflickr.com

So letting computers shut down their hard disks, or even sleep, or how about changing to solid state hard drive? HP EliteOne 800?

HP EliteOne 800 G1 All-in-One PC Product Specifications support.hp.com

Typical hard drive is 500GB, solid state drives start at 120GB support.hp.com

HP EliteOne 800 G1 Hard Disk Drive / Solid State Drive Replacement, 5 inch DVD removable media storage also ifixit.com

Windows 7: Hard Drive - Turn Off Hard Disk After Idle or Never sevenforums.com

SJG

Baby's Lookin' Hot youtube.com

Robin Trower - Full Concert - Rockpalast Crossroads, Bonn - 2005 ( I listen to this, and sorry to say, I can't understand how anyone could ever settle for acoustic guitar music. And then of course, I think solid body is the best of the best ) youtube.com

What Are the Advantages and Disadvantages of Solid-state Drives?

sweetwater.com

"Increased durability due to no moving parts to wear out or fail"

SJG

El Chapo's Trial nypost.com

More about SDD versus HDD pcmag.com

SJG

Sexy Girls World Map ( consider Ecuador and Argentina ) static.boredpanda.com

Argentina argentinaxp.com

Year of the Pig media.gettyimages.com

TJ Street c2.staticflickr.com

In 1967, Polish mercenary Rafal Ganowicz was asked what it felt like to take a human life. He replied: "I don't know, I've only ever killed communists"

KFJC, the Foothill College Radio Station, awesome, and for decades now.

metroactive.com

Intel NUC (Next Unit of Computing) Core i5 Barebone PC BOXNUC7I5BNH frys.com

w/ manufacturer's specs

Barebones PC's newegg.com

SJG

Mexico City, has so many people and cars on the streets, that if one is interested in hookers, likely best to find a bar, or you would really have to know that area.

doxyspotting.com

doxyspotting.com

doxyspotting.com

doxyspotting.com

doxyspotting.com

doxyspotting.com

doxyspotting.com

Richard Smoley, Inner Christianity youtube.com

Business Law Today, 10th and 11th Edition, Roger LeRoy Miller textbooks.com

New, Used, purchase as ebook (pdf) and in libraries

Esoteric Christianity -- Don Baker -- Theosophical Society in Seattle youtube.com

Thermaltake, coolers

thermaltake.com

Cannot tell where this is, might be China or Turkey

SJG

The End of Work and the Case for Universal Basic Income Andy Stern, former President of the Service Employees International Union (SEIU), author of Raising the Floor: How a Universal Basic Income Can Renew Our Economy and Rebuild the American Dream, and Senior Fellow at Columbia University's Center for Business, Law, and Public Policy youtube.com

How Ayn Rand Became a Hero to Right Wing Nerds -- Thom Hartmann youtube.com

Thom Hartmann: Atlas Shrugged - bizarre philosophy at work -- Thom Hartmann youtube.com

Alec Baldwin: Trump's 'SNL' Attack May Be 'A Threat To My Safety' yahoo.com

Kim Kardashian yahoo.com

Thierry Mugler en.wikipedia.org muglerusa.com livingly.com

Intimidation, Pressure and Humiliation: Inside Trump’s Two-Year War on the Investigations Encircling Him -- New York Times nytimes.com

Venus, Shocking Blue, actually live, with only what you see on stage, and not hamming for the camera, quite good, a coffee house grade performance youtube.com

Alvin Lee – The Bluest Blues youtube.com

JEFF BECK -Brush With the Blues youtube.com

Joe Bonamassa - I'll Play The Blues For You youtube.com

Gary Singh, digital music

metroactive.com

SJG

A most impressive article:

nytimes.com

Ending the Punishment of Poverty: Supreme Court Rules Against High Fines & Civil Asset Forfeiture democracynow.org

Frances Fox Piven, Professor of Political Science and Sociology at the Graduate Center, CUNY youtube.com

amazon.com

NOLO, Bourbon Street doxyspotting.com

AZTECA youtube.com

Peter Green - In The Skies ( Full Album ) 1979 youtube.com

I love the smell of napalm in the morning youtube.com

MPG Z390 Gaming Pro Carbon

us.msi.com

SJG

Oakland CA doxyspotting.com

In Poland, this is what their Lot Lizards look like doxyspotting.com

Italy, Lot Lizards doxyspotting.com

Shuttle Barebones DH310, supports 2x displays, can be with SATA hard drive or with SSHD. shuttle.eu

Has heat pipe and 2x 60mm fans

External DC Supply, 19v or 12v, keeps heat down. 19v would be better at that.

SJG

Kenneth Grant & Typhonian References youtube.com

Bernie Sanders Kicks Off 2020 Run in Brooklyn, New York

Sen. Rand Paul Likely to Oppose Nat’l Emergency in Decisive Vote

democracynow.org

Olga Ladyzhenskaya 7 March 1922 – 12 January 2004 en.wikipedia.org

Nonlinear equations and spectral theory / M.S. Birman, N.N. Uraltseva, editors (2007)

amazon.com

SJG

Nation Exclusive: ICE Has Kept Tabs on ‘Anti-Trump’ Protesters in New York City

thenation.com

SONNY ROLLINS-LIVE IN DENMARK´68 youtube.com

Willpower always was a stupid idea getpocket.com

Netgear AC3200

Nighthawk AC3200 Tri-Band WiFi Router

netgear.com

802.11ac Tri-Band Gigabit

" There's never been WiFi like it. The Nighthawk X6 AC3200 Router with breakthrough Tri-Band WiFi technology was built to connect to each and every device in your home—automatically and simultaneously. Laptops, tablets, phones, TVs, game consoles, music streamers, cameras – if it’s WiFi enabled, it’s X6 accelerated. A powerful combination of features —wireless speed of up to 3.2Gbps, 3 WiFi bands, Smart Connect intelligence, and Dynamic QoS— guarantees every device is assigned the fastest WiFi connection possible and optimized for maximum speed. Using Amazon Alexa™, control your home network with voice commands. NEW: Circle with Disney - Smart Parental Controls. "

" Tri-Band WiFi with Smart Connect changes the game for today’s home WiFi networks. With one 2.4GHz band and two 5GHz WiFi bands to work with, the X6 has the capacity, flexibility, and intelligence to assign each device to the WiFi band where it can connect at its maximum possible speed. The result is that faster devices can connect and perform unhindered by slower or older devices—meaning ALL devices load, stream, and game at their maximum speed. "

netgear.com

SJG

mexicolindobar.com

Led Zeppelin - Achilles Last Stand (Live Knebworth 1979) youtube.com

GIGABYTE BRIX GB-BRi5-8250-BW Mini / Booksize Barebone System newegg.com

Can be 240GB, 3.4 GHZ

Can this be run entirely via Ethernet? Can it boot without the keyboard?

Can you slow the CPU down and then shut the fan down?

Can you run it off of DC, what voltage range?

SJG

TJ Street farm6.staticflickr.com c1.staticflickr.com adelitasbartijuanamexico.com

Pleaser 9" and 10" pleaserusa.com

Sister is frightened of her own people youtube.com

lots of products gigabyte.com

as I suspected, Taipei City, Taiwan

en.wikipedia.org

lots of products, like gigabyte.com

gigabyte.com

Still many questions

SJG

Thank you sjg

Archonix Systems, screwy web site, slows machine down!!! crunchbase.com

???? archonix.com

achronix.com

SJG

So reading more about achronix

achronix.com

achronix.com

Sounds interesting, but it is fabless

SJG

Christianity and Unknowing, Richard Rohr youtube.com

Pablo Sender - The Secret Doctrine: Part 1 - How to Study The Secret Doctrine youtube.com

Social Entrepreneurship en.wikipedia.org

Robert A. Caro on the means and ends of power nytimes.com

The Irrationality of Alcoholics Anonymous getpocket.com

Origins of the Perennial Philosophy School of Thought youtube.com

Ananda Coomaraswamy en.wikipedia.org

Pretend You Have A Cold, Pelosi to Biden msn.com

Achronix, speedcore

achronix.com

They want you to embed their FPGA into your chip. This would seem to mean that you have to use the same FAB they use, likely in Asia, and so that they are really just a promoter for that fab?

SJG

Joe Golem: Occult Detective Volume 2--The Outer Dark

amazon.com

Brian Eno ( quite good ) youtube.com

Is it possible to have computers generate such music on their own, and even in real time?

Pablo Sender - The Secret Doctrine: Part 1 - How to Study The Secret Doctrine youtube.com

siglentamerica.com

SJG

Irish Republican Army youtube.com

So I have identified a book about Bobby Sands. But now I see that what I really want is a book about this "Provisional Irish Republican Army", the period likely from the 1960's to the 1990's.

amazon.com

The Provisional Irish Republican Army and the morality of terrorism / Timothy Shanahan. (2009)

SJG

Fanon was a psychiatrist, but he became and anti-psychiatrist.

SJG

Police live 2018 youtube.com

Ford Ranger, now reintroduced

4 cylinder 2.3L, direct injection 270hp

Payload can be as high as 1860 lbs

7,500 max tow weight

ford.com

SJG

LG ?

LG Group (Corporation)

en.wikipedia.org

lgcorp.com

SJG

Michelle Alexander on The New Jim Crow, at Union Theological Seminary ( she wrote a very important book ) youtube.com

Paul Tillich Symposium: John Caputo Lecture youtube.com

Trump Yanks Billions From California High-Speed Rail

sanjoseinside.com

SJG

Consider this as a place to start with Badiou.

Alain Badiou / edited by A.J. Bartlett and Justin Clemens (2010)

SJG

Continuing From: tuscl.net

Here, back in our old archives I find some treatment of this: tuscl.net

cnsi.ucsb.edu

en.wikipedia.org

kjmagnetics.com

amazon.com

amazon.com

en.wikipedia.org

en.wikipedia.org

en.wikipedia.org

cms.mpi.univie.ac.at

en.wikipedia.org

amazon.com

en.wikipedia.org

But as the old thread was 2015, I find now that a lot of the links have gone bad.

SJG

Why Are Americans Not Protected Against COVID-19? (w/ Dr. Leana Wen) youtube.com

TJ Street tuscl.net tuscl.net tuscl.net tuscl.net tuscl.net tuscl.net

Graham Bond ✪ Holy Magick [full album] youtube.com

Grahame Bond - Love Is the Law [full album / bonus tracks] youtube.com

M Davis Bitches Brew 1970 Full Album youtube.com

Thelonious Monk - Live Zurich 1964 youtube.com

Neil Young - Imagine youtube.com

Pearl Jam with Neil Young - Rockin in the free world Toronto 2011 youtube.com

It makes no sense to dump onto the forum.

Copy-paste-copy-paste-copy-paste-copy-paste-copy-paste-copy-paste-copy-paste-copy-paste--copy-paste-copy-paste-copy-paste-copy-paste-copy-paste-copy-paste-copy-paste-copy-paste-copy-paste-copy-paste-copy-paste-copy-paste-copy-paste-copy-paste-copy-paste-copy-paste-copy-paste-copy-paste-copy-paste-copy-paste-copy-paste

Read the 2015 thread if you want to better understand the context. Too bad that about 1/2 of its best looking links have expired.

At least now I am harvesting what is still good from it.

SJG

So let me go thru now the best of the above links:

Neodymium Magnet Information kjmagnetics.com

Rare-Earth Iron Permanent Magnets (Monographs on the Physics and Chemistry of Materials) 1st Edition J. M. D. Coey, also has written other books

Out of the Crystal Maze: Chapters from The History of Solid State Physics (outstanding book, text, not formulae and diagrams)

Molecular Modelling for Beginners, Second Edition (2008) Alan Hinchliffe (written lots of other related books) amazon.com

And then the most interesting link:

Manual for VASP, a simulation software for multiple electron molecules, and including the electron to electron interactions. cms.mpi.univie.ac.at

How here I have what may actually be the most relevant part of that manual, the bibliography. cms.mpi.univie.ac.at

And then here is the VASP Wiki, most informative. vasp.at

Now, this thread has dealt with a range of topics. But this old material that I have harvested from the 2015 thread deals with how to simulate multiple electron molecules. There is no real way just to hand calculate or closed from solve for such things.

If one wants to broaden their area of knowledge, finding the key books and key authors is a first step, as well as identifying any particular softwares used. And U Vienna has long been a leader in Mathematical Physics.

If we don't keep on learning new and challenging things, then we turn into Archie Bunker.

The basic focus of these materials is the development of solids with desirable properties in the areas of semiconductor electronics, optics, and magnetics. The latter is in some ways the most challenging because it pretty much comes down to electron angular momentum, and this can even get into relativistic effects.

Much of the interest in this now is simply because of the development of Array Processing Super Computers, and these can be quite cheap. It is possible not to have on your desk top, or in your server rack, a tremendous amount of floating point computing power. It's just a matter of learning how to set it up and how to use it.

The interest in high strength magnets is motivated by man things, I list here only some:

1. High efficiency motors for electric vehicles
2. Coatings and heads for high density magnetic storage devices
3. Bio-Medical measurement devices
4. Small scale electricity generation, usually DC or out of sync with grid

Interest in semi-conductor electronics and optonics is real simple, advances in computing and communications technologies depends more and more on a merger of electronic and optical technologies, and on pursuing some extic material types, looking at band gap size, direct or indirect, carrier mobilities and velocities, and then all the chemical properties which make these things usable.

The world is getting more and more complex and what people are expected to know to be considered competent continues to expand.

Now some people here might only be interested in talking about Right Wing News and Politics, Financial Speculation, and various kinds of Reactionary and Misogynist views.

But to say that this is all the members of this forum and the patrons of strip clubs could be interested in, is to sell us all way too short.

Returning to this, not Quantum Entanglement, but a very good book about the Industrial Applications of Quantum Mechanics: amazon.com

SJG

^^^^ Fun Loving, unless you have something constructive to say, maybe better if you just remain silent.

And the reason that some of the old 2015 links expired was just that the managers of those sites made changes. They put some new stuff up, and they took some old stuff down.

SJG

Carly Simon, You're So Vain youtube.com

Old 2015 thread I'm harvesting from: tuscl.net

SJG

Reconstructing some of the material where the links have changed since 2015, actually lots of stuff from U Colorado

colorado.edu

And from UC Santa Barbara, spintronics: As an alternative to electronic charge, the storage and transport of electronic spin in semiconductor devices - "spintronics", may revolutionize the electronic device industry, with spin based transistors , opto-electronic devices, and memory. cnsi.ucsb.edu

Here we seem to have a tutorial: courses.lumenlearning.com

Here again is the VASP manual vasp.at

^^^^^ a whole bunch of presentation slides about this matter, lots of lectures.

vasp.at

full manual pdf cms.mpi.univie.ac.at

And it looks like with VASP they give you a C++ program to compile and run. That helps you direct the big compilation.

But the actual VASP program is written in FORTRAN!

I say this in light of the fact that on that 2015 thread I did not know if anyone still did anything in FORTRAN. And Dougster was completely incredulous.

So since I learned about the newer versions of FORTRAN, and VASP uses FORTRAN 90.

When I had started looking into these matters a while back the best I could find was that people felt it was probably a wash as to whether FORTRAN or C++ compilers would generate the fastest executing code.

So if you really want to make it the fastest, you just have to do it yourself in assembler. Don't use the inline assembler provision in Microsoft C++. because there you are making assumptions about how the compilers is using the CPU registers. You might be wrong, and to beat the compiler you probably do have to find some uncommon way.

So instead just get from the compiler the assembly files it can generate. The pick ones to re-write, or functions to bring back inline with what calls them. Just elimination some function call protocols will probably help.

You will have to really study the CPU and its instruction set. Some are very symmetrical, and others are not. And this is floating point, but in the interger indexing portions of the code you might find ways to speed it up.

And then as much of this now is being done on multi-processor systems, that adds a whole 'nother magnitude of complexity.

SJG

Best of the 60's youtube.com

^^^^^ Also, GNU and Cray both maintain and distribute C++ compilers and compilers for these new modernized FORTRAN's.

Not impressed? Well Intel and Microsoft are doing exactly the same thing.

Pascal is dead, but Ada has taken its place. Though I am not seeing evidence of this kind of wide spread use of Ada, or any acceptance of its basic claim that it makes safer programs. Books make the pitch, but the message seems to be no longer accepted.

Going further and further into Object Oriented Programming, you can make your own variable types and the "methods" for accessing them, and so you can also put in what you want of Pascal/Ada style run time bounds checking.

SJG

Center for Computational Materials Science (CMS) natureindex.com

US Naval Research Laboratory nrl.navy.mil

^^^^^ all of this stuff is being driven by the availability of Array Processor Super Computers, and by the need for better magnetic, optical, and semi-conductor materials.

SJG

So here again is the old 2015 Thread

September 18, 2015 tuscl.net

So here, use this link to find it, and then move pages forward or back to find more from that era. tuscl.net

And yes indeed, this is the next thread like that: tuscl.net

and look what we find: materialsdesign.com

doxyspotting.com

ambri.com

And here is one about magnets that I really wanted to find: mint.ua.edu/wp-content/uploads/2012/12/MINT-G8-Abstract-Combined.pdf 32 page pdf

There is a trove of information in these old threads!

SJG

Black Sabbath, War Pigs, Paris 1970 youtube.com

youtube.com

Well I see now, this is no longer a research area, it is an industry. Usually that ruins the work environment, no more open source programs, commercial busy boxes and highly paid frat boys to push the mouses around. No Good.

Let me try and assimilate what I can.

Materials Design ( now in San Diego, where as the people who handled the licensing for VASP were in Taos NM.) materialsdesign.com

Does look like VASP is used with this new MediA materialsdesign.com

Molecular quantum mechanics / Peter Atkins and Ronald Friedman (2011, and Atkins always writes good books )

Structure elucidation in organic chemistry : the search for the right tools / edited by Maria-Magdalena Cid and Jorge Bravo (2015)

SJG

OT: Computer Programming (open) tuscl.net

crosby stills nash young almost cut my hair CSNY 1974 youtube.com

So besides running VASP, what does MedeA Software do?

materialsdesign.com

info.materialsdesign.com

MedeA is used throughout many industries from academic research to industrial materials design and optimization, where atomistic modeling has become an integral part of the Computational Materials Engineering value-creation chain.

Yeah, this is an industry now, and the software will be used as a busy box. Seen this in other fields.

SJG

What else can I glean about Materials Design and this MedeA Software?

materialsdesign.com

Yeah, this is tremendous incursion and deskilling of work environments. No longer research area, not an industry.

Needs to be a counter, open-source, open-data, response.

SJG

materialsdesign.com

Trying to learn more about the above, which I do not like.

But here: en.wikipedia.org

and then: en.wikipedia.org

and then: en.wikipedia.org

and finally: en.wikipedia.org

^^^^^ and notice, a whole tone of stuff written in FORTRAN

Would I start something totally new in FORTRAN? I think not, I think I would go for C++. But I would be willing to listen if there were arguments for FORTRAN.

SJG

TJ Street tuscl.net

Wes Montgomery - Round Midnight youtube.com

So I have tried to find microsized super computers, not found much. At least an outboard floating point box.

Berkeley www2.eecs.berkeley.edu

nersc.gov

nersc.gov

nersc.gov

So they seem to use Cray XC40.

I believe that these are modules which you can connect together.

en.wikipedia.org

cray.com

cray.com

cray.com

cray.com

^^^^^ Not really getting the kinds of info I want.

intel.com

What is this board: harddiskdirect.com

SJG

Floating Point Units design-reuse.com

Multicore Architectures, 2007 cs.cmu.edu

Open Source Floating Point stackoverflow.com

Intel Floating Point Exception Handers, for IA-64 intel.com

main intel processor manual intel.com

This stuff looks military, way over priced. tridentinfosol.com

BUt then tridentinfosol.com

just selling MATLAB / Simulink tridentinfosol.com

FPGA Floating Point Accererator, 2011 tesla.rcub.bg.ac.rs

Accelerator Board(2011) techopedia.com

^^^^^^^^^^^ Mostly talking about grahics acceleration, not floating point numerical analysis.

Well here, a CRC Book about R amazon.com

Accelerator Board, 2014 researchgate.net

SIAM Journal on Numerical Analysis siam.org

^^^^ $114 per year, print and online, but 80% discount on you first four selected journals.

SJG

Strange Attractor en.wikipedia.org

en.wikipedia.org

THis kind of thing has stimulated much interest. In my opinion this is because of computers, as you need computers to explore stuff like this, to make the phase diagrams.

But the strangeness of it is all is not related to quantum mechanics, and it is not cause by the round off error and finite bit precision of computers.

More it is just some highly non-linear equations and the fact that in real life you never fully know the starting conditions. Some natural phenomenon do run entirely on extreme non-linearity. This is the sort of things which technology and engineering have historically avoided.

SJG

Eric Clapton Layla 2008 youtube.com

crosby stills nash young almost cut my hair CSNY 1974 youtube.com

TJ Street tuscl.net tuscl.net

Pleaser 10"

pleasershoes.com

pleasershoes.com

AN-SOF and Ansys

ansys.com

en.wikipedia.org

Canonsburg, Pennsylvania, U.S., 18 miles South West of Pittsburg

antennasimulator.com

AN-SOF

ema-eda.com

antennasimulator.com

pressreader.com

antennasimulator.com

antennasimulator.com 264 Pages, Golden Engineering

not sure if this is the same company goldenengineering.com

en.calameo.com

EMA Design ema-eda.com

established in 1989 by Manny Marcano, EMA Design Automation is a leader in product development solutions ranging from electrical CAD tools, data management and PLM systems, services, training, and technical support.

not on this list: en.wikipedia.org

en.wikipedia.org

SJG

This company says Alameda CA. Which is about the right place. But I thought it was bought by Intel.

Anyway, name is altered a bit. Maybe someone decided to restart it.

windriver.com

windriver.com

Yes, always been impressed with these people.

SJG

Wynton Marsalis & The Young Stars of Jazz - "Take The 'A' Train" youtube.com

windriver.com

Acquired by Intel 2009, acquired by TPG 2018

en.wikipedia.org

TPG, now based in San Francisco en.wikipedia.org

tpg.com

SJG

Induction Processes of Inference, Learning, and Discovery John H. Holland etal, 1986 MIT Press

amazon.com

SJG

amazon.com

Other John H. Holland material I have read, and much of it is challenging

2014 amazon.com

Not read this: amazon.com

SJG

Evanescence - Bring Me To Life (Live at Las Vegas) youtube.com

Induction : processes of inference, learning, and discovery / John H. Holland ... [et al.] (1986)

Complexity : a very short introduction / John H. Holland (2014)

SJG

BBW full backdoor curvynbeautiful.com

curvynbeautiful.com

Stuart Kauffman en.wikipedia.org long wanted to read this guy

video closertotruth.com

sciencedirect.com

The origins of order : self-organization and selection in evolution / Stuart A. Kauffman. (1993), 700 pages. First of many books.

Complexity : a very short introduction / John H. Holland (2014, location warning)

SJG

full backdoor ohlalacheri.com

open cage bra etsy.com

Problems and Solutions Nonlinear Dynamics, Chaos and Fractals Steeb, W.-H, +

Fractal Horizons the Future Use of Fractals Clifford A. Pickover +

SJG

IBIZA SUMMER MIX 2021 ↠ Ibiza, Maldives, Thailand, Bali, Paradise youtube.com

Lacey, understands highest of heels tuscl.net

spicylingerie.com

spicylingerie.com

spicylingerie.com

pleasershoes.com

pleasershoes.com

pleasershoes.com

pleasershoes.com

pleasershoes.com

etsy.com

Roissy tuscl.net

tuscl.net

OMS Martinism youtube.com

Applied Math more useful than Pure Mathematics

Operations Research Frederick S Hillier and Gerald J. Lieberman

For example

2014 edition amazon.com

over 1000 pages! Introduction to operations research / Frederick S. Hillier, Gerald J. Lieberman

I will get this and read it and I largely agree with you. Thanks

SJG

high heels bondage tuscl.net

I am interested to know about Operations Research, but now I know only peripherally about it.

en.wikipedia.org

TensorFlow for dummies / Matthew Scarpino. (2018)

I best find a smaller book than that 1000+ page one.

SJG

Books about Operations Research all seem to be huge.

Operations research : a practical introduction / Michael W. Carter, Camille C. Price. (CRC Press 2001) 394 pages ++

SJG

backdoor harness supernaturallingerie.com

^^^^^^

"Lingerie For The Modern, Magical Woman"

SJG

ESS JAY GEE

Operations Research A Practical Introduction Michael W. Carter and Camille C. Price CRC Press (2000)

INFORMS Institute for Operations Research and the Management Sciences informs.org

Alan Turing, unsolvable or undecidable problems

P, computational time required proportional to a polynomial NP, proportional to exponential

NP-complete NP-hard

2^n is worse than polynomial, and n! is even worse, n^n is the very worst!

IMSL C Numerical Libraries imsl.com

AMPL, a modeling language for mathematical programming, developed by AT&T Bell Labs

AMPL book ampl.com

RASON solver.com

SIMPLEX METHOD, slack variables and surplus variables

LAMPS Linear and Mathematica Programming System

SAS sas.com

PROJECT MANAGEMENT: Critical Path Method (CPM). Program Evaluation and Review Technique (PERT)

Lagrangian Relaxation

Multi-Variable Seach: Gradient Method, Newton's Method, Hessian Matrix

Markov Processes, stochastic process

Queuing Models, A. K. Erlang

GASP, General Activity Simulation Program SIMSCRIPT, from Rand Corporation GPSS, General Purpose Simulation System SLAM MODSIM

Decision Analysis: Maximin, Laplace Principle, Hurwicz Principle

Heuristic Techniques: Simulated Annealing, Parallel Annealing, Genetic Algorithms, Neural Networks

SJG

^^^ STFU!! Over 120 comments on this thread and only a handful aren’t from you SJGoatfucker!

SJG = Biggest fucking loser on the planet.

Principle Axis Analysis

20 pages stats-www.open.ac.uk

real-statistics.com

stats.stackexchange.com

en.wikipedia.org

A user's guide to principal components / J. Edward Jackson. (1991)

Induction Processes of Inference, Learning, and Discovery John H. Holland etal (1986)

SJG

collar tuscl.net

I selected the above Chemical Rubber Company Press, Boca Raton Florida book on Operations Research because they always put out good books, and because it was just 400 pages. Enough for me.

The earlier recommended book, and most of the others I found, were 1000 pages.

Now, Principal Component Analysis. R-language has an excellent expansion module to do this. I would like to write my own for C++ and Ruby. Something I did years ago could have been improved with this.

A user's guide to principal components / J. Edward Jackson. (1991, 569 pages) *

Wiley series in probability and mathematical statistics., 75 readily available listings

Numerical methods for stochastic processes / Nicolas Bouleau and Dominique Lepingle (1994) *-

Markov decision processes : discrete stochastic dynamic programming / Martin L. Puterman. (1994) *

Probability, random variables, and random signal principles / Peyton Z. Peebles, Jr. (1987 2ne edition)

Communication systems : an introduction to signals and noise in electrical communication / A. Bruce Carlson (1986 3rd ed)

• problem

Communication systems : an introduction to signals and noise in electrical communication / A. Bruce Carlson. (1985 2nd ed) *

Linear systems in communication and control / [by] Dean K. Frederick and A. Bruce Carlson. (1971) *

Circuits : engineering concepts and analysis of linear electric circuits / A. Bruce Carlson. (2000) *

McGraw-Hill series in electrical engineering.

Voice and speech processing / Thomas W. Parsons (1986) *

Signals and systems in electrical engineering [by] William A. Lynch [and] John G. Truxal (1962) *

and then all the newer books following

like

Signals and systems / Simon Haykin, Barry Van Veen. (1998) *

and also book about MATLAB

Signals and systems : principles and applications / Shaila Dinkar Apte (2016, newest on paper) *

SJG

I like what this Asian girls is wearing. This bondage harness design is becoming more and more common. Credit to LDK82 redgifs.com

Holland, John H. (John Henry), 1929-2015, author (2014) Title Complexity : a very short introduction / John H. Holland

• -

SJG

tuscl.net

Linear algebra and its applications / Gilbert Strang (1980 2nd edition) *

Introduction to Dynamical Systems Brin, Michael

Introduction to dynamical systems / Michael Brin, Garrett Stuck (2002) *

SJG

Principle Axis Analysis? Maybe best to find a book which explains how this works in the R language expansion modules.

Consider this: Practical data science with R / Nina Zumel and John Mount ; foreword by Jeremy Howard and Rachel Thomas. -!

Well, lots and lots of books, but which gives what I want is hard to say. But I need to become well versed. So it is worth the time.

An Introduction to Statistical Learning With Applications in R +

Advanced R Statistical Programming and Data Models Analysis, Machine Learning, and Visualization Wiley, Matt, +

R for Dummies De Vries, Andrie, +

R for Data Analysis in Easy Steps McGrath, Mike, +

SJG

Dio - Heaven And Hell Live In London 2005 youtube.com

Agent-based models / Nigel Gilbert (2020)

Nonlinear control and filtering for stochastic networked systems / Lifeng Ma, Zidong Wang, Yuming Bo (2019)

Multi-agent systems : platoon control and non-fragile quantized consensus / Xiang-Gui Guo, Jian-Liang Wang, Fang Liao and Rodney Swee Huat Teo (2020 CRC Press)

Apache commons FFT commons.apache.org

math3 commons.apache.org

java docs commons.apache.org

Commons Math: The Apache Commons Mathematics Library commons.apache.org

Apache Commons commons.apache.org

so much to try and assimilate

SJG

I think this is AMORC France, its Martinist Order. Antoine Faivre is a highly regarded academic esotericist. This is in French. youtube.com

Martinism 4/5 OMS youtube.com

Lotfi Aliasker Zadeh (4 February 1921 – 6 September 2017)

en.wikipedia.org

SJG

Good Math: A Geek's Guide to the Beauty of Numbers, Logic, and Computation (Pragmatic Programmers) 1st Edition Mark C. Chu-Carroll

amazon.com +

SJG

Bill Evans '64 - '75 youtube.com

this guy had a lot to do with making R into what it is:

Advanced R (Chapman & Hall/CRC The R Series) 1st Edition by Hadley Wickham

amazon.com

R for data science : import, tidy, transform, visualize, and model data / Hadley Wickham and Garrett Grolemund. Imprint Sebastopol, CA : O'Reilly Media, 2016. +

and

R Packages +

SJG

Linear algebra and its applications / Gilbert Strang (1980 2nd edition) *

^^^ widely referenced

also this new book:

Linear algebra and its applications / David C. Lay, University of Maryland, College Park, with Steven R. Lay, Lee University and Judi J. McDonald, Washington State (2016) *

Linear algebra and its applications / Gilbert Strang. (1976, keeping the page count down)

SJG

Grace Potter and Joe Satriani cover Cortez the Killer youtube.com

tuscl.net

Why do you use R and not Python

A very good question kokokoko99

Personally I am fan of compiled langauges, like especially C++.

About the only time I see that one wants to use an interpretive langauge would be:

1. JavaScript for the users browser
2. For when you want the user to be able to change some of the code
3. For when some of the code is generated at run time

Otherwise you want to stick compiled langauges.

Now, the key feature about R, Python, and Ruby is that you can by using Dynamic Linking add your own C++ code to the interpreter, you can expand the language yourself without having to fork the interpreter code.

Of the three I am more pleased with the newest, Ruby. But I have responsibilities which require me to be abreast of all of them. Welcome to TUSCL!

SJG

Chaka Khan - Melody Still Lingers On (Live, 1981) youtube.com

And as far as the Functional Programming Paradigm, I am coming to the position that those sorts of ideas are best supported by writing libraries, class libraries, to do it. Remember that object oriented languages all let you define your own variable types and the methods of accessing them.

I feel that much of the literature about Functional Programming is very disingenuous.

SJG

From calculus to chaos : an introduction to dynamics / David Acheson. (1998) *-

Linear algebra and its applications / Gilbert Strang (1976 first edition) widely referenced. I lots of later editions, but they are bigger and bigger. I got this early version because it is shorter. Looks good, a subject I have always been attracted to and have substantial experience with. I will have to follow up with other books though.

SJG

^^^^^ I don't know the answer to that.

Silverman, Richard A. many books, some by this Dover reprints company. Such books are usually good.

Essential calculus with applications / Richard A. Silverman Silverman, Richard A Dover 1989

Calculus and analytic geometry Stein, Sherman K. (1992)

Here at UC Berkeley people can major in mathematics math.berkeley.edu

It is in the College of Letters and Science math.berkeley.edu

The Department of Mathematics offers an undergraduate major in Mathematics leading to the Bachelor of Arts (BA) degree. The program provides an excellent preparation for advanced degrees in math, physical sciences, economics, and industrial engineering as well as graduate study in business, education, law, and medicine. The program also prepares students for post-baccalaureate positions in business, technology, industry, teaching, government, and finance.

SJG

Linear algebra and its applications / Gilbert Strang (1976 first edition)

I hope to write a lot about this, but for now I want to start recording the references. These references are of great interest to me. I like the old text books. And the math books are always good, no matter how old.

ABSTRACT LINEAR ALGEBRA

F. R. Gantmacher, "Theory of Matrices" Chelsea, New York, 1959

The theory of matrices / by F.R. Gantmacher ; [translation by K.A. Hirsch] ( 2 volumes)

P. R. Halmos, "Finite-Dimensional Vector Spaces" Van Norstrand_Reinhold, Princeton, 1958

Finite-dimensional vector spaces, Paul Richard Halmos *

K. Hoffman and R. Kunze, "Linear Algebra" 1971 Linear algebra, by Kenneth Hoffman and Ray Kunze.

T. Muir, "Determinants" Dover, 1960, 4 volumes, originally 1923

amazon.com

The theory of determinants in the historical order of development / by Sir Thomas Muir (yes, 4 volumes, from 1923)

SJG

The Nature of Mathematical Modeling by Gershenfeld, Neil A (1999)

amazon.com

The nature of mathematical modeling / Neil Gershenfeld *-

Ordinary Differential Equations (Dover 1985) An Elementary Textbook for Students of Mathematics, Engineering, and the Sciences Tenenbaum, Morris

Dynamical systems : differential equations, maps, and chaotic behaviour / D.K. Arrowsmith and C.M. Place (1992) *

Elementary differential equations with boundary value problems / Robert H. Martin Jr. (1984) +

Ordinary differential equations / Robert H. Martin, Jr. (1983) +

Gilbert Strang, Linear Algebra, additional references

APPLIED LINEAR ALGEBRA

A. Ben-Israel and T.N.E. Greville, "Generalized Inverses: Theory and Applications, Wiley (1974)

Generalized inverses: theory and applications / [by] Adi Ben-Israel [and] Thomas N. E. Greville (1974) *

SJG

Nina Hartley nina.com

Our Big-Block crate engines have evolved to become more innovative, more powerful, and bigger than they’ve ever been. The new Chevrolet Performance ZZ632/1000 DELUXE Big-Block Crate Engine is no exception. It's our most powerful crate engine ever, with the modern convenience of EFI technology, providing more than 1,000 horsepower on 93-octane pump gas. (8 quart oil pan) chevrolet.com

Gilbert Strang, Linear Algebra, additional references

APPLIED LINEAR ALGEBRA

R. Bellman, "Introduction to Matrix Analysis" McGraw-Hill (1974)

many many books about matrix math and control theory and even adaptive controls

Introduction to matrix analysis / Richard Ernest Bellman. (1960) *

and then of course Luenberger, D. G.

A number of books.

Introduction to dynamic systems : theory, models, and applications / David G. Luenberger (1979) *

SJG

I will be reading this soon:

amazon.com

Karlheinz Stockhausen: Telemusik (1966) amazon.com

Gilbert Strang, Linear Algebra and Its Applications

more references: APPLIED LINEAR ALGEBRA

B. Noble, "Applied Linear Algebra" 1969

NUMERICAL LINEAR ALGEBRA

G. Forsythe and C. Moler, "Computer Solution of Linear Algebraic Systems" 1967

C. L. Lawson and R. J. Hanson, "Solving Least Squares Problems" 1974

G. W. Stewart, "Introduction to Matrix Computations", 1973

R. S. Varga, "Matrix Iterative Analysis", 1962

J. M. Wilkinson, "Rounding Errors in Algebraic Processes", 1963

J. M. Wilkinson, "The Algebraic Eigenvalue Problem", 1965

J. M. Wikinson and C. Reinsch, eds, "Handbook for Automatic Computation II, Linear Algebra", Springer, 1971

D. M. Young, "Iterative Solution of Large Linear Systems", 1971

Gilbert Strang Linear Algebra and Its Applications 1976, 1st edition Strang was at MIT

Before forget, let me say that Strang does talk some about Regression Analysis, Factor Analysis, and Principle Component Analysis

So he starts out explaining that primarily linear algebra is about simultaneous equations and Gaussian elimination. The second idea will be determinants and Cramer's rule.

He will show Gaussian Elimination and talk about zero pivots and when you have a singular matrix. It will get into LU factorization, which results from Gaussian Elimination. And then you use back substitution.

Tends to be n^2 operations for Gaussian Elimination.

So he talks about Matrix Multiplication.

So you will be doing Gaussian Elimination, and you will be logging the results in an Elementary Matrix, E.

So you will premultiply Ax with E, on both sides, and matrix multiplication is associative.

So you get this upper triangular matrix, and these various E matrices which log what was done to get it, cause you will want to back substitute for your solution.

Usually you will want to do row substitution in order to get bigger pivots, to avoid zero, but also to minimize round off errors. I think it is actually biggest ABS pivot.

And so a P matrix to log this is introduced, Permutation Matrix. You also premultiply both sides by this.

So you are finding the inverse of the original A matrix. ( the other way of doing this, Determinant and Adujunct Matrices, is extremely slow )

So you use the Gauss-Jordan method:

en.wikipedia.org

And then he talks about Band Matrices, which are matrices where the only non-zero elements are close to the diagonal. I guess this is a particular form of the Sparse Matrix

Good links on this: Sparse Matrix en.wikipedia.org

Band Matrix en.wikipedia.org

He looks at a differential equation with a two point boundary condition. A geometrical spacer, h, is introduced. This makes the problem discrete, and how small h is determines the number of equations and the number of unknowns, and of course this results in a band matrix.

So he goes into a more formal theory of simultaneous linear equations, and gets into Vector Spaces and Subspaces, and he goes into graphic representations.

And so we are talking about the row space of A, the nullspace of A, the column space of A, and the left nullspace of A.

Talks about Orthogonality of Vectors and Subspaces.

Fundamental Theorem of Linear Algebra, Part 1 and Part 2.

So, talks about Orthogonal Projections and Least Squares, and starts off talking about Inner Products and Transposes, and the Schwarz Inequality

Projections onto Subspaces and Least Squares

Least Squares solution satisfies "normal equations".

Projection Matrices, P

Least Squares Fitting of Data

Orthogonal Bases, Orthogonal Martices, And Gram-Schmidt Orthogonalization

Hilbert Space Fourier Series Legendre Polynomials

Pseudoinverse and the Singular Value Decomposition

Weighted Least Squares

now there is a big change in the book as he shifts to the discussion of Determinants

pg 146:

"The determinant provides and explicit "formula," a concise and definite expression in closed form, for quantities such as A^-1"

gives test for invertibility

gives volume of parallelepiped

Jacobian Determinant

en.wikipedia.org

finding determinants needs n! computations!!!

Cramer's Rule

Expansion in cofactors, and finding inverse from adjugate matrix

Then book makes big shift to Eigenvalues and Eigenvectors

SJG

A Brief History of Quantum Mechanics - with Sean Carroll youtube.com

Karlheinz Stockhausen: Telemusik (1966) youtube.com

Continuing with Gilbert Strang, going into the second half of the book with Eigenvalues and Eigenvectors

So starting with Ax = b

But now we will be looking for values that make A singular (Det = 0)

We will be subtracting an identity matrix multiplied by Lambda from it. (We need to tell founder that we need comprehensive mathematical notation)

So we will want to find values of Lambda such that Det(A - Lambda * I) =0

This is not that easy to program because you need to be doing Lambda symbolically so that you will get a characteristic polynomial and then can find the roots, real or complex.

These are the eigenvalues, and this is being looked at in the context of simultaneous differential equations.

Often homogenous, so you can add the solutions from the different eigenvalues together.

Sometimes you also want difference equations.

So he talks about Fibonacci Sequences, and about Stability.

Routh–Hurwitz stability criterion en.wikipedia.org

Lyapunov stability en.wikipedia.org

Markov Processes

and I know that the Eliahu Ibrahim Jury test works best for z-transform digital stuff en.wikipedia.org

so to program this type of stuff is quite involved, especially when matrix elements can be polynomial in a complex variable, and even rational polynomial functions, so you need long polynomial division and partial fraction expansion, and the when the rational polynomial coefficients are algebraic combinations of system parameters which you want to be able to alter. Good time to supplement your project with an interpretive language like R, Python, or Ruby on the top, for the user.

Hermeitian Matrices

pg 215, Regression Analysis, Factor Analysis, and Principal Component Analysis

Jordan Form

Positive Definite Matrices, Minima, Maxima, and Saddle Points

Iterative Methods for Ax=b

Linear Programming and Game Theory, Simplex Method, Linear Inequalities.

This has been a complex book, covers lots of stuff. But people who really understand this subject matter will be able to read books like this just like they were the morning newspaper because they already understand the subject matter and they already know all the standard examples.

And when it comes to math I have always found that if you have programmed it, then you do know it well, because you have had to account for all the exceptional cases and have had to come up with a comprehensive test suite.

In the organization I am working to build, people will be supported in building a broad base of understanding which goes this deep. The bulk of the population has turned into Homer Simpsons, and this need not be so.

SJG

Mr. Rob Arthur on keyboards youtube.com

Nord nordkeyboards.com

Feedback control system analysis and synthesis [by] John J. D'Azzo [and] Constantine H. Houpis

This is an old 1960 edition of a text which was still being updated more than 25 years later.

amazon.com

I love the old books because in reading them and comparing them to the new books you can understand how the thinking has developed. You can put ideas into context, and you can understand better the new ideas too. This old book probably tells you how you can purchase a Spirule.

nzeldes.com

For root locus diagrams.

Here is a very new book: Control Systems Engineering 8th Edition by Norman S. Nise, 2020

nzeldes.com (2015)

SJG

I had posted this above:

Ansys ansys.com

en.wikipedia.org

Ansys is an American company based in Canonsburg, Pennsylvania. It develops and markets CAE/multiphysics engineering simulation software for product design, testing and operation and offers its products and services to customers worldwide.

Ansys was founded in 1970 by John Swanson, who sold his interest in the company to venture capitalists in 1993. Ansys went public on NASDAQ in 1996. In the 2000s, the company acquired numerous other engineering design companies, obtaining additional technology for fluid dynamics, electronics design, and physics analysis. Ansys became a component of the NASDAQ-100 index on December 23, 2019.

en.wikipedia.org

John A. Swanson is an American engineer, entrepreneur, and philanthropist. Swanson is the founder of ANSYS, Inc., a John Fritz Medal winner, and a member of the National Academy of Engineering. He is internationally regarded as an authority and pioneer in the application of finite-element methods to engineering.

en.wikipedia.org

D-Space ( I think Germany )

dspace.com

now open source! en.wikipedia.org

Lyrasis is a non-profit which owns it. en.wikipedia.org

lyrasis.org

LYRASIS 1438 West Peachtree Street, NW Suite 150 Atlanta, GA 30309​

and then GNU Octave:

gnu.org

wiki.octave.org

and Octave Forge octave.sourceforge.io

books of interest: Autodesk Inventor: Finite-Element-Methode (FEM). with Thomas Gruber (2020) Interval Finite Element Method with MATLAB [electronic resource] / Nayak, Sukanta (2018) Introduction to Finite Element Analysis and Design, 2nd Edition [electronic resource] / Kim, Nam (2018) SOLIDWORKS: Simulation for Finite Element Analysis. with Tony Abbey (2017) Magnetic Materials and 3D Finite Element Modeling [electronic resource] / Bastos, João (2017 CRC Press)

Finite elements for electrical engineers / Peter P. Silvester, Ronald L. Ferrari (1996) Finite elements for electrical engineers / Peter P. Silvester, Ronald L. Ferrari. *-

Practical Transformer Handbook [electronic resource] / Gottlieb, Irving (1998)

The electrical engineering handbook / editor-in-chief, Richard C. Dorf (1997 CRC Press, 2700 pages!!)

Feedback control system analysis and synthesis [by] John J. D'Azzo [and] Constantine H. Houpis (1960)

This is going to be a pleasure to go thru, like eating cheese cake.

SJG

Psychedelic Jazz Rock Fusion - Gambardella from Barcelona, Spain @ White Noise Sessions 30-10-2017 youtube.com

csul.iii.com,

2700 pages!

SJG

D'Azzo and Houpis, 1960

The reason I wanted such an old book is real simple. I wanted to see what it talks about and what it fails to talk about. I wanted to see what they feel they must explain, and what they feel they can just assume people understand.

This is one of the classic texts and I am familiar with later editions. They are interesting, but there is also a lot of stuff they do not cover.

Today, if you want to do anything with this, you want to develop computer software. You want programs to do the computations. But you also want embedded software to go into your system. And then you want test bench software to chronicle how your stuff works, and to the the necessary model parameters.

And you want newer much more sophisticated theory, going further than what this book covers.

And then I also want the old references in this book, especially the math books. So let me start with these references.

References:

Trinks, W. "Governors and the Governing of Prime Movers" 1919 Governors and the governing of prime movers / by W. Trinks, 140 illustrations. +

Bode, H. W. "Network Analysis and Feedback Amplifier Design", 1945 Network analysis and feedback amplifier design, by Hendrik W. Bode (1945) +

Blackburn, J. F. "Components Handbook" McGraw-Hill, 1948 Components handbook / ed by John F. Blackburn [under the supervision of the Office of Scientific Research and Development, National Defence Research Committee. (1949) Blackburn, John Francis +

Wylie, C. R. Jr. "Advanced Engineering Mathematics", McGraw-Hill, 1951 Wylie, Clarence Raymond, 1911- Advanced engineering mathematics (1951) first edition, 640 pages. Later editions of this too, but they have more pages. +

Corcoran, G. F., and R. M. Kerchner, "Alternating-current Circuits", 3rd edition, John Wiley and Sons, 1951 Alternating-current circuits, by Russell M. Kerchner ... and George F. Corcoran ... (1943, and then also later editions)

Gardner, M. F. and J. L. Barnes "Transients in Linear Systems" John Wiley and Sons, 1942 Transients in linear systems studied by the Laplace transformation [by] Murray F. Gardner ... and John L. Barnes (1942) *

Trimmer, J. D. "Response of Physical Systems" John Wiley and Sones, 1950 Trimmer, J. D., Response of physical systems., New York, Wiley [1950] *

"Flow Meters, Their Theory and Application" American Society of Mechanical Engineers, 1937 0 but there is also this: Notes on small flow meters for air : especially orifice meters / by Edgar Buckingham, Physicist, Bureau of Standards. 1921 0

SJG

Now more refs from D'Azzo and Houpis

Burns, R. A., and R. M. Saunders "Analysis of Feedback Control Systems" McGraw-Hill, 1955 Analysis of feedback control systems; servomechanisms and automatic regulators [by] Robert A. Bruns [and] Robert M. Saunders (1955)

Doherty, R. E., and E. G. Keller "Mathematics of Modern Engineering", Wiley, 1936 Mathematics of modern engineering ... by Robert E. Doherty ... and Ernest G. Keller (1936, 2 volumes)

Weber, E. "Linear Transient Analysis" Wiley, 1954 0

Electrical Engineering Staff, Massachusetts Institute of Technology, "Electric Circuits" MIT Press, 1940 0

Truxal, J. G. "Automatic Feedback Control Systems Synthesis", McGraw-Hill, 1955 Automatic feedback control system synthesis *

Gardner, M. F. and J. L. Barnes "Transients in Linear Systems", Wiley, 1942 Transients in linear systems studied by the Laplace transformation [by] Murray F. Gardner ... and John L. Barnes (1942) *

Churchill, R. V. "Operational Mathematics" McGraw-Hill 1958 Operational mathematics / [by] Ruel V. Churchill (1971 3rd edition, earlier 1958 edition also available) *

Thomson, W. T. "Laplace Transformation" Prentice-Hall, 1950 Thomson, William Tyrrell. Laplace transformation : theory and engineering applications. (1950) *

Guillemin, E. A. "The Mathematics of Circuit Analysis", Wiley, 1949 The mathematics of circuit analysis : extensions to the mathematical training of electrical engineers / Ernst A. Guillemin. (1950) *

Brown, G. S., and D. P. Campbell, "Principles of Servomechanisms", Wiley, 1948 Principles of servomechanisms; dynamics and synthesis of closed-loop control systems [by] Gordon S. Brown [and] Donald P. Campbell (1948) 0

SJG

Both authors were Associate Professors at the Air Force Institute of Technology, and they would stay at this institution.

James, H. M, N. B. Nichols, and R. S. Phillips, "Theory of Servomechanisms", McGraw-Hill, 1947 Theory of servomechanisms; ed. by Hubert M. James, Nathaniel B. Nichols [and] Ralph S. Phillips [under the supervision of the] Office of Scientific Research and Development, National Defense Research Committee (1947)

Chestnut, H. and R. W. Mayer "Servomechanisms and Regulating System Design", 1959 Servomechanisms and regulating system design / [by] Harold Chestnut and Robert W. Mayer. 1951 - 55 *

SJG

Smith, O. J. M. "Feedback Control Systems" McGraw-Hill 1958 Smith, Otto Joseph Mitchell, 1917- *

Feedback control systems. Imprint New York : McGraw-Hill, 1958. *

Savant, C. J. Jr. "Basic Feedback Control System Design 1958 Savant, C. J Title Basic feedback control system design Imprint New York : McGraw-Hill, 1958

New York : McGraw-Hill, 1958 *

Evans, W. R., "Control-system Dynamics", McGraw-Hill, 1954 Evans, Walter R Title Control-system dynamics Imprint New York : McGraw-Hill, 1954 *

SJG

Maccoll, L. A. "Fundamental Theory of Servomechanisms", D. Van Norstrand Company, 1945 Fundamental theory of servomechanisms, by LeRoy A. MacColl. (1968 Dover ed, originally 1945) *

Nixon, F. E. "Principles of Automatic Controls" Prentice-Hall 1953 Nixon, Floyd E.  Principles of automatic controls,  New York : Prentice-Hall, 1953 *

SJG

Art Blakey and the Jazz Messengers - Caravan ( Full Album ) youtube.com

Stewart, J. L. "Circuit Theory and Design" Wiley, 1956 Stewart, John Lawrence TitleCircuit theory and design (1956) *

SJG

I want to introject:

Circuit design using personal computers / Thomas R. Cuthbert, Jr. *

First of his two books. Title sounds stupid, but book is very good.

SJG

Johnson, Clarence L.,Analog computer techniques / C. Johnson. (1956) *

A number of refs of this sort, from about the same time interval.

Not many other book references. I skipped over journal article refs because they are harder to get.

Now I want to say something overall about what the book is saying:

In 1960, I think this book was legit. But many were using the book largely unchanged, in school, 25 years later.

Talks about Electric Circuits, Mechanical Translation, Mechanical Rotation, Thermal Systems, Hydraulics, and as always the Servo.

Talks about differential equations and the standard types of inputs and responses sought.

Laplace transform, and Heavyside's Partial Fraction Expansion.

Block diagrams,

Root Locus and Spirules.

How to get roots of polynomials

Frequency Response and all the sorts of plots.

Nyquist Stability and Routh-Hurwitz test, and the Nichols Chart

Cascade and Feedback Comp. But not the Feedforward or the type of capacitor comp used today in OP-AMP circuits.

Optimum Response ? Talking about steady state error, and solution time, but no rigorous approach to this,

Non-linearities, this along with dead spots and backlash is what makes this all fall apart.

Analog Computers, and using things like anti-parallel tube diodes, no doubt with separate filament windings, to simulate dead spots.

Does not yet talk about the Air Force Fortran program TOTAL.

Does not even tough upon modern or stochastic controls, or Fuzzy or Neural Controls or anything like that.

SJG

This is a much later and updated version of the above, but I think still structurally the same (2003)

Linear Control System Analysis and Design: Fifth Edition, Revised and Expanded (Automation and Control Engineering) 5th Edition

by Constantine H. Houpis (Author), Stuart N. Sheldon (Author), John J. D'Azzo (Author)

THis is from CRC Press: Linear control system analysis and design with MATLAB / Constantine H. Houpis, Stuart N. Sheldon Boca Raton, FL : CRC Press, c2014 0

This was 1988 Linear control system analysis and design : conventional and modern / John J. D'Azzo, Constantine H. Houpis. New York : McGraw-Hill, [1988] *

Need to see how the ideas have developed over time.

SJG

More thoughts about 1960 D'Azzo and Houpis. The entire theory falls apart when you have back lash or dead spots. The most you might be able to do is design what you want by simulations.

Then there are always high order poles in the response of systems, and if you use enough loop gain, these come back onto the other side of the j-omega axis and cause instability.

What you can do depends on what computer tools you have before you. You need much more than a programmable scientific calculator. You need what today would be Matlab, Octave, or D-Space, or even more. These guys were slow to move to these. And you need stuff to be open source as Octave and D-space are.

You also though need a more sophisticated theory. You need modern controls, you need adaptive controls, and you need to do like with Matlab and D-space and let the computer control your prototype so you can verify you system model.

And you will usually now want embedded software to go directly into your system.

D'Azzo and Houpis don't get much into Network Theory. You need to be able to solve simultaneous equations and unknows. You need matrices of polynomials. And since you are going to use detreminants and cramers rule, these get turned into rational polynomial functions.

And then Root Locus is a way of finding roots as you vary a parameter, but you need more powerful tools than that.

You need all the ways of visualizing the dynamics, but then you still need more powerful math to get the results you want.

SJG

Further reflection on 1960 D'Azzo and Houpis

Clearly they are motivated by the technology of heavy aircraft. Like how to design the powered controls for a B-29, or the servo gun turrets. And they do give translational and rotational mechanical examples. But they don't give aeronautical examples. They don't specifically give mechanical examples where external forces are pressing upon them.

There is in aerospace engineering a standardized way of setting up problems. It is done though in the time domain and with first order differential equations. You have one for each of the 3 translational axes, and then one more for each of the 3 rotational axes. And then since Newton's laws depend on the second derivative, you need another 6. So you get a 12th order matrix.

Maybe the authors feel that that would be beyond the scope of their book or their audience. But I think they should at least mention it and endorse a text.

Then, by even 1960 NASA had committed to Modern Stochastic Controls. Certainly in the later editions they should have spend the necessary time to develop this.

And then even in a phase locked loop today, you have the rudiments of such controls.

I think the D'Azzo and Houpis text in handicapped because its students, while knowing the basic theory, lack access to sufficient computer tools to really do much with the concepts they are being presented with. And then with Modern Controls the lack would be even more dramatic. So I think much more is needed.

I look for the newest version which I can find, probably posthumus, and it is 2014. I notice that it is being presented as being based entirely around MatLab. That would be good, but Matlab is very expensive. Need something which is open source, like Octave or D-Space.

I also think there needs to be more treatment of things like amplifier circuits and of their basic issues, like stability and compensation, and slew rate.

I offer here a trade show demo I saw, or D-Space. Now this was 25 years ago at a trade show. D-Space was not yet open source, and it came from Germany.

They had a simulation of an automobile, an AUDI, and with that VW VR6 engine. They were simulating the throttle valve, the ignition and fuel injection timing, and the load on the crankshaft. Now to make this work you would have to simulate cylinder by cylinder and have a good modelling of the intake and exhaust manifolds too. It was working.

In my view this kind of a simulation would be of most value when you had the features of today's advanced engines, and had variable valve timing. And say you wanted to see the trade offs with different fuel injection approached, like sequential manifold injection versus high pressure direct injection, and how this delimited your range of valve timing options, and then what more range you might get with fly by wire throttle.

This could be very useful. And then imagine if you had this quality of simulation running on board the vehicle and driving the control functions. To be knowledgeable and competent today one would have to be completely fluent in these approaches. And this is not for the Pentagon or NASA, this would be for consumer passenger cars, of the type the US should have been building, instead of leaving it to Germany, Sweden, Japan, and Korea, and China.

SJG

Jennifer Fischer jenniferfisherjewelry.com

Peter Frampton - Do You Feel Like We Do (Live in Detroit) youtube.com

Thank You Mr. Churchill / Peter Frampton youtube.com

This is a good author for the modern or state space methods. He is Israeli Control System Design: An Introduction to State-Space Methods (Dover Books on Electrical Engineering) Illustrated Edition by Bernard Friedland

amazon.com

This does get into Kalman Filtering which is what NASA used during the Apollo Era. But it does not get into H-Infinity, which as I know is still the cutting edge of adaptive controls. And of course all of this equally well applies to signal processing, as it does to mechanical, aeronautical, chemical, and thermal systems.

availability is still a bit weak for this author.

Advanced control system design / Bernard Friedland (1996, and not what I'd sited above, more rudamentary) *

Modern control systems / Richard C. Dorf, University of California, Davis, Robert H. Bishop, The University of South Florida. (2017) 0

Modern control systems / Richard C. Dorf, Robert H. Bishop. (2008, 1018 pages!) *

This Richard C. Dorf has got tons of books spanning decades!

SJG

Jazz Messengers youtube.com

Jennifer Fischer jenniferfisherjewelry.com

I want to say also about this, often the Inverted Pendulum has become the epitome of the controls problem to solve. And this is sometimes the double jointed or flexible inverted pendulum.

D'Azzo and Houpis say nothing about this.

And do you want to do it analog or digital, and conventional controls or modern. It seems kind of emblematic of the Apollo program and its 300 foot high launches.

But I think it also applies to phase locked loops and lots more.

SJG

Of course exploring this kind of stuff we also need to look to Oliver Heavyside:

Oliver Heaviside: The Life, Work, and Times of an Electrical Genius of the Victorian Age by Paul J. Nahin | Nov 13, 2002

The Forgotten Genius of Oliver Heaviside: A Maverick of Electrical Science The Forgotten Genius of Oliver Heaviside: A Maverick of Electrical Science by Basil Mahon

Electromagnetic Theory by Oliver Heaviside and James Zimmerhoff | Sep 3, 2017

Heaviside's operational calculus as applied to engineering and physics / by Ernst Julius Berg (1929) *

Heaviside operational calculus : an elementary foundation / [by] Douglas H. Moore. (1971) *

Oliver Heaviside, sage in solitude : the life, work, and times of an electrical genius of the Victorian age / Paul J. Nahin. (IEEE Press 1988) *

The forgotten genius of Oliver Heaviside : a maverick of electrical science / by Basil Mahon. Oliver Heaviside (2017) *

SJG

Gabriel Kron

This guy was way out there:

en.wikipedia.org

Lots of good stuff he did. I know of two books.

He wanted to use Tensor Analysis for AC circuits.

Usually Tensor Analysis is only used for General Relativity. And that is used by AstroPhysicists. I does not have industrial applications. People analyze AC circuits, but without Tensor Analysis. I need to learn more to be able to fully appraise Kron's work.

D'Azzo and Houpis, Principles of Electrical Engineering, 1968. Of interest because it will ground all their Air Force related talk about feedback control systems. Need to understand how things were being discussed, if you expect to be able to appraise how they are being discussed today.

SJG

Weather Report - Live at Montreux (1976) [Remastered] youtube.com

Simulations, UC Berkeley SPICE

Andrei Vladimirescu University of California, Berkeley

The SPICE Book 1st Edition by Andrei Vladimirescu (Author)

The Spice book / Andrei Vladimirescu. (1994) *

SJG

Principles of Electrical Engineering by John J. D'Azzo and Constantine H. Houpis (1968)

So are you ready for the mathematical modeling of a triode vacuum tube? How about a pentode, which is quite different. Langmiur-Child model of triode vacuum tube en.wikipedia.org

Lots of plate characteristics. And for the 6L6 beam power pentode they run all the way from -35 volts on the grid, to +15. Positive grid voltage, to me, seems strange.

Amplidyne en.wikipedia.org

Lots of good stuff in the book. The Nichols Plot en.wikipedia.org

on Mathematica reference.wolfram.com

Good book to have on your shelf, because they lay out the equations and set up the examples so well. But to use any of this stuff you really need to be writing computer programs to do it.

Some References:

Houpis, C. H. and Jerzy Lubelfeld, Outline of Pulse Circuits (1966)

Millman, Jacob and Herbert Taub, Pulse, Digital, and Switching Waveforms (1965)

Gray, A. and G. A. Wallace, Principles and Practice of Electrical Engineering 8th ed, 1962

Sad News - Professor Emeritus Augustine Gray chancellor.ucsb.edu

No readily available books by Gray

Langmiur-Child model of triode vacuum tube en.wikipedia.org

Network Analysis / [by] M. E. Van Valkenburg. (1974, written lots of books and they are good!)

Active filters: lumped, distributed, integrated, digital, and parametric. Lawrence P. Huelsman, editor. With contributions by William J. Kerwin [and others] (1970, also lots of real good books)

Ernest Alexanderson webarchive.nla.gov.au

SJG

Why 'Sports Illustrated Swimsuit' will only work with brands that 'prove they are creating change for women' yahoo.com

Weather Report - Live at Montreux (1976) [Remastered] youtube.com

LTspice LTspice® is a high performance SPICE simulation software, schematic capture and waveform viewer with enhancements and models for easing the simulation of analog circuits. Included in the download of LTspice are macromodels for a majority of Analog Devices switching regulators, amplifiers, as well as a library of devices for general circuit simulation.

analog.com

andrei vladimirescu, SPICE the thrid decade, Valid Logic Systems, San Jose, 1990 web.engr.oregonstate.edu

Mentor, Valid, and Cadence

ieeexplore.ieee.org

SJG

The Gnostic Origins of Christianity, featuring Tim Freke and Peter Gandy youtube.com

A. Vladimirescu (Life Fellow, IEEE) received the M.S. and Ph.D. degrees in EECS from the University of California at Berkeley, where he was a Key Contributor to the SPICE simulator, releasing the SPICE2G6 production-level SW in 1981. He pioneered electrical simulation on parallel computers with the CLASSIE simulator as part of his Ph.D. For many years, he was the R&D Director leading the design and implementation of innovative software and hardware electronic design automation products with Analog Devices, Inc., Daisy Systems, Analog Design Tools, Valid Logic, and Cadence. He is currently a Professor involved in research projects with the University of California at Berkeley, Delft University of Technology, and the Institut Supérieur d’Électronique de Paris, ISEP, as well as a Consultant to industry. He has authored The SPICE Book (Wiley). His research activities are in the areas of ultra-low-voltage CMOS, design, simulation, and modeling of circuits with new devices and circuits for quantum computing.

ieeexplore.ieee.org

^^^^ recent papers

SJG

This is similar to a 1960 book by the same authors, except it is 1988, and it introduces the time domain math of modern controls. I think it is just a barest intro to modern controls. Need to appreciate how the discipline developed before seeing all the ways it has branched out.

Linear control system analysis and design : conventional and modern / John J. D'Azzo, Constantine H. Houpis (1988)

SJG

Steely Dan youtube.com

YOU TYPE ALL THIS NONSENSE WHILE YOU SIT IN FRONT OF MAMISAN AND HARASS CUSTOMER?

Linear control system analysis and design : conventional and modern / John J. D'Azzo, Constantine H. Houpis (1988)

So this is newer than the last edition I had ever seen. But it is similar. A very big book.

It has all the old stuff going back to 1960.

But it also has stuff about Time Domain Modern Controls. I would still say that this is only scratching the surface. No adaptive controls, and no H-Infinity controls or anything like that, and certainly no fuzzy or neural network controls. THough I suspect that some don't see that as stuff to be taken seriously. I would like to read the differing views though.

Last chapter is on z-transform, as opposed to Laplace transform, for digital. But I would still say that this is just scratching the surface.

And of course I will be wanting to record lots of references.

SJG

Mile Davis youtube.com

Linear control system analysis and design : conventional and modern / John J. D'Azzo, Constantine H. Houpis (1988) 3rd edition. The earlier editions were 1960 and 1981.

This 3rd edition has most of the material which was in the earlier two, but with the new material added, it exceeds 900 pages.

Now they do have a much newer book, but I suspect that that was not written by the original authors. The newest one is written around the Matrix Math program, MATLAB.

I will get through used book channels a copy to keep of this 3rd edition.

So I look mostly at the new material, so I am at about the midway point in the book.

They introduce the idea of Control-Ratio Modelling, which is mostly about designing your stead state error coefficients. And then to get zero error you need to be integrating one more time for each level of error reduciton. ( step, ramp, parabola).

They site the Guillemin-Truxal method.

Truxal, J. G. Automatic Feedback Control System Synthesis, McGraw Hill 1955.

And of course this is still frequency domain, s-plane.

And they are concerned about steady state errors relative to disturbances, as well as the reference input.

So in the next chapter they introduce State-Variable Feedback, Closed Loop Pole-Zero Assignment.

And this is time domain, using matrix notation.

There will be the A, B, C, and D martices used throughout, and talk about states being observable, and being controllable.

And this is still totally deterministic.

Showing phase diagrams and discussing them.

And again, error coefficients, and relative to the reference input and to disturbance inputs.

And zero error requires an extra level of integration.

Now as this gets to plant poles and zeros, of course it is again frequency domain.

some references:

Schultz, D. G. and J. L. Melsa: State Functions and Linear Control Systems, McGraw Hill, 1967

Anderson, B. D. O. and J. B. Moore: Linear Optimal Control, 1971

Friedland, B. Control System Design, 1986 (he is at Technion in Israel)

Chen, C. T. Introduction to Linear System Theory, 1970

Barnett, S. Polynomial and Linear Control Systems, 1983 **

Volowich, W. A. Linear Multivariable Systems, 1974

Owens, D. H. Feedback and Multivariable Systems, 1978

SJG

Mile Davis Big Fun youtube.com

^^ Also, the ABCD matrices are used in the standard differential equation, and they just integrate and get an exponential.

Also I know that when you want to get zero steady state error and start adding open loop integrations, 1/s terms, then you are raising the order of your system. It is from this that when it is close loop, that instabilities can come from. The poles move off of the origin, and there usually are higher frequency left side poles which come into play.

And then often your integrations are not perfect integrations, they are low freq pole zero pairs, lag compensations.

So this is complicated, not often working as it does on paper.

You need simulation tools too, not just theoretical design tools.

Modern Controls evolved out of Classical Controls, and it happened in stages. This is one of the first, but it is far from the final word on the matter.

SJG

Introduction to Algorithms 3rd ed.

Thomas Cormen is Professor of Computer Science at Dartmouth College. Charles Leiserson is Professor of Computer Science and Engineering at MIT. Ronald L. Rivest is Andrew and Erna Viterbi Professor of Electrical Engineering and Computer Science at MIT. Clifford Stein is Professor of Industrial Engineering and Operations Research at Columbia University.

amazon.com

amazon.com

1250 pages

Linear control system analysis and design : conventional and modern / John J. D'Azzo, Constantine H. Houpis (1988) 3rd edition. The earlier editions were 1960 and 1981.

So the high point of classical (frequency domain) controls was this control ratios or error coefficients approach. So I am going to read the seminal text, though I really do already understand it.

Truxal, J. G. Automatic Feedback Control System Synthesis, McGraw Hill 1955.

Truxal, John G, Automatic feedback control system synthesis, (1955), almost 700 pages, and Truxal has other books and others that he has written forwards to.

Now Modern Controls (time domain) developed gradually, and the first move to that is this was this closed-loop pole-zero assignment, state-variable feedback.

But as you shall see, you often don't have direct access to state variables, so you have to use an observer, and that merges with you compensator. And then as this is formulated, Poles and Zeros, it is still bound to frequency domain, S-plane, Laplace Transform.

SJG

70s Electric Miles Davis Mix (Jazz, Jazz Funk, Jazz Rock, Fusion..) youtube.com

Miles Davis The Dark Side Of Bitches Brew (unpublished tracks) youtube.com

So, drawing from:

Linear Control Systems Analysis and Design Conventional and Modern Third Edition John D'Azzo and Constantine Houpis 1988

Development of Digital Aircraft Controls

SAS - Stability Augmentation System

CAS - Command Augmentation System

FBW - Fly By Wire

DFCS - Digital Flight Control System

Laplace Transform and 1932 Nyquist paper on steady-state frequency-response techniques for feedback amplifier design.

Work by Black, H. S. 1934 Bode, H. W. 1945 Hall, A. C. 1946 Harris, H. 1946 Nyquist, H. 1932

Talks about writing system equations, usually LTI, Linear Time Invariant

Talks about Lagrange's Equation

Talks about every kind of system, even electromagnetic with capacitive coupling. Talks about hydraulic actuators.

Talks about thermal, modeled as a circuit, capacitor being charged by a voltage source through a resistor. Then they add a second resistor and capacitor to show heat transfer to something more remote. You could add another resistor, a bleeder, to account for heat losses beyond this.

DeRusso, P. M. et al "State Variables for Engineers", Wiley 1965 State variables for engineers [by] Paul M. DeRusso, Rob J. Roy [and] Charles M. Close (1965)

Blackburn J. F. ed "Components Handbook" McGraw-Hill 1948 ( a book of this type this old would be trip to look at )

Wylie, C. R. jr "Advanced Engineering Mathematics" 4th ed, McGraw-Hill 1975

Wylie, Clarence Raymond, 1911- Advanced engineering mathematics, first edition 1951, only 640 pages

Kinariwala, B. et al "Linear Circuits and Computation" 1973

Gantmacher, F. R. "Applications of the Theory of Matrices" 1959

Gantmakher, F. R. (Feliks Ruvimovich) Applications of the theory of matrices / Translated and rev. by J. L. Brenner, with the assistance of D. W. Bushaw and S. Evanusa New York : Interscience Publishers, 1959

Kalman, R. E. "Mathematical Description of Lineal Dynamical Systems" paper , 1963

^^^ a NASA big wig and a leader in the movement to Stochastic Controls, and for filtering and even for phased locked loops

Kalman, R. E. (Rudolf Emil), 1930- Topics in mathematical system theory [by] R. E. Kalman, P. L. Falb [and] M. A. Arbib New York : McGraw-Hill, [1969]

en.wikipedia.org

The Kalman Filter cs.unc.edu

SJG

Fundamentals of Kalman filtering : a practical approach / Paul Zarchan, Howard Musoff. (2009)

A Kalman filter primer / R.L. Eubank. (2006)

Introduction to random signals and applied Kalman filtering : with MATLAB exercises and solutions / Robert Grover Brown, Patrick Y.C. Hwang. (1997)

An introduction to Kalman filtering with applications / Kenneth S. Miller and Donald M. Leskiw (1987)

Mathematics of Kalman-Bucy filtering / P.A. Ruymgaart, T.T. Soong (1985)

Kalman filtering : theory and application / edited by Harold W. Sorenson. (1985)

Introduction to random signal analysis and Kalman filtering / Robert Grover Brown. (1983) oldest ref I found

SJG

^ continuing:

Gardner, M. F. and J. L. Barnes: "Transients in Linear Systems" 1942

Takahashi, Y. et al "Control and Dynamic Systems 1970

D'Azzo and Houpis give their final chapter to Digital or Discrete Time control systems. But they also reference a book I am familiar with and know to be quite good. Actually several books:

Houis and G. B. Lamont: "Digital Control Systems, Theory, Hardware, Software, McGraw-Hill 1985

Frankin, G. F. and J. D. Powell: "Digital Control of Dynamic Systems", 1980 *known to be really good!

Kuo, B. C.: "Discrete-Data Control Systems", 1970 (very old ref for this)

Cadzow, J. A. and H. R. Martens, "Discrete-Time and Computer Control Systems, 1970 (very old ref for this)

Schwartz, R. J. and B. Friedland: "Lineal Systems", 1965

Ward, J. R. and R. D. Strum: "State Variable Analysis", 1970

Churchill, R. V.: "Operational Mathematics, 3rd ed, 1972

Thomson, W. T.: "Laplace Transformation", 2nd ed, 1966

Aseltine, J. A.: "Transform Method in Linear System Analysis", 1958

Etkin, B.: "Dynamics of Atmospheric Flight", 1972

Those signal flow graphs and the Mason Gain Rule!

Kuo, B. C.: "Linear Networks and Systems", 1967

James, H. M., N. B. Nichols, and R. S. Phillips: Theory of Servomechanisms 1947 (Nichols Charts)

Gibson, J. E.: "Nonlinear Automatic Control" 1963

Thaler, G. J. and M. P. Pastel: "Analysis and Design of Nonlinear Feedback Control Systems", 1960

Kuo, F. F.: "Network Analysis and Synthesis" 2nd ed, 1966

Mitra, S. K. "Analysis and Synthesis of Linear Active Networks", Wiley 1969

Blakelock, J. H.: "Automatic Control of Aircraft and Missiles", Wiley 1965

Thompson, P. M. "User's Guide to Program CC, Version 3", Systems Technology Inc, Hawthorne, CA, March 1985

SJG

Athans, M. and P. L. Falb: "Optimal Control" 1966

Anderson, B. D. O. and J. B. Moore: "Linear Optimal Control" 1971

Kailath, T. "Linear Systems" 1980

Friedland, B. "Control System Design" 1986

Chen, C. T. "Introduction to Linear System Theory" 1970

SJG

Schultz, D. G. and J. L. Melsa: "State Functions and Linear Control Systems" 1967

*** Barnett, S.: "Polynomial and Linear Control Systems", Marcel Dekker, New York, 1983

Wolowitch, W. A.: "Linear Multivariable Systems" Springer-Verlag, 1974

Owens, D. H.: "Feedback and Multivariable Systems" 1978

Cruz, J. B. jr: "Feedback Systems" 1972

Now talking about Liapunov's Second Method. This is where this subject matter gets the closest to "Dynamic System's Theory" or "Chao Theory" and it is fully workable for nonlinearity.

Andrownow, A. A., etal: "Theory of Oscillations", 1966

Thaler, G. J. and M. P. Pastel: "Analysis and Design of Nonlinear Feedback Control Systems", 1962

Sylvester's Criterion for matrix stuff

Minorsky, N.: "Theory of Nonlinear SYstems" 1969

Csaki, F.: "Modern Control Theories", Budapest, 1972

Gibson, J. E.: "Nonlinear Automatic Control", 1963

Parzen, E.: "Modern Probability and Its Applications" 1960

And I also add: Probability, Random Variables, and Random Signal Principles 4th Edition by Peyton Peebles (Author)

Now talking about Optimal Control

Oldenbourg, R. C., and H. Sartorius: "The Dynamics of Automatic Controls, 1948 Society of Mechanical Engineers

Butterworth, S. "On the theory of filter amplifiers" 1930

Kirk, D. E.: "Optimal Control Theory" 1970

Athans, M. and P. L. Falb: "Optimal Control" 1966

Chang, S. S. L.: "Synthesis of Optimal Control Systems" 1961

*** Van Valkenburg, M. E. "Introduction to Modern Network Synthesis" 1960

Bryson, A. E. and Y. C. Ho: "Applied Optimal Control" 1975

Now: Optimal Design By Use Of Quadratic Performance Index

SJG

OMS 4of5 youtube.com

Now: Optimal Design By Use Of Quadratic Performance Index

Porter, B. and T. R. Crossley: "Modal Control Theory and Applications", 1972

Sage, A. P. and C. C. White, III: "Optimum Systems Control" 2d ed, 1977

Now: Structural Propterties of Linear Multivariable Control Systems

Kwakernaak, H. and R. Sivan: "Linear Optimal Control Systems" 1972

Reid, J. G.: "Linear Systems Fundamentals: Continuous and Discrete, Classic and Modern" 1983

Rosenbrock, H. H.: "State Space and Multivariable THeory" 1970

^^ above was actually from "Entire Eigenstructure Assignment"

And now, "Design of Tracking Systems Using Output Feedback"

A lot of the refs now are papers, which are harder to get, so I am not recording them here.

And now, "Quantitative Feedback Theory (QFT) Technique"

Horowitz, I. M. ( main name in the refs for this )

Okay, and now it gets to the chapter on Digital Control, and I have already recorded the refs for this.

SJG

OMS 2 of 5 youtube.com

They can print books with all kinds of very complex mathematical notation. But just for text processing, computers still can't do it.

So I see some here worth trying on though. x is the variable in question. In the book they put a (dot) over the x to indicate derivative. I will do this with the (apostrophe), as x'

So when you get to the time domain treatment, it is written in matrix form with A, B, C, and D being the matrices. u(t) is the input, y(t) the output, and x(t) are the state variables. And these are column matrices.

x'(t) = Ax(t) + Bu(t) y(t) = Cx(t) + Du(t)

Now this is a very standard treatment. And it gets to controllability and observability.

It all comes down to the central matix, A.

So the Homogeneous Solution is known as the State Transition Matrix

x' = Ax

So you can look at a scalar case and have an exponential solution.

You might write the exponential out as a power series.

Remember, A is a square matrix

so the 'state transition matrix' or 'fundamental matrix' they indicate with the letter Phi, and this is known as STM (state transition matrix)

Phi(t) = e^[A(t)], where Phi and A are n x n matrices.

Now if we again look at x'= Ax

Then we can consider a case where x and x' are going the same direction, differing only by a scalar proportionality factor Lambda.

So x' = Lambda x

SJG

So by substitution you can get

[Lambda I - A]x = 0 where Lambda is an n x n identity matrix.

And so for this to have a nontrival solution, x is not zero, then [Lambda I - A] must not be full rank, so its determinant must equal zero.

SJG

Now, computing the determinant of a matrix is quite complex. It is complicated to write a computer program to do it too, and it can take a long time.

But as there is this identity matrix multiplied by an unknown variable Lambda in there, you will get an nth order polynomial in Lambda.

This is known as the "characteristic equation".

Q(Lambda) === Det[Lambda I - A] = 0

Q(Lambda) is a polynomial in Lambda

Q(Lambda) = 0

The roots may be distinct, repeated, or complex conjugates.

The entire set of roots with a complex conjugate in there is "self-conjugate".

And Q(Lambda) can be written in factored form.

The roots of the characteristic equation Q are the eigenvalues of A. The product of these eigenvales is equal to the determinant of A, and the sum of the eigenvalues is equal to the sum of the elements on the main diagonal (the trace) of A.

And to do anything with this stuff you have to have a specifically made computer program. Otherwise it just goes no where. In Aerospace Engineering the standard thing is a 12 x 12 matrix. You could never do that having to punch numbers into a scientific calculator.

SJG

OMS 2 of 5 youtube.com

So to evaluate the STM Phi(t) = exp[At] they invoke a method based on the Caley-Hamilton Theorem.

en.wikipedia.org

"every square matrix over a commutative ring (such as the real or complex numbers or the integers) satisfies its own characteristic equation."

And they also apply the Laplace Transform in this.

SJG

Holy Shit:

en.wikipedia.org

SJG

I need more hard earned background to fully comprehend everything being done in this D'Azzo an Houpis text.

another ref:

Wiberg, D. M. "State Space and Linear Systems" Schaum's Outline Series, McGraw-Hill, 1971

SJG

OMS Martinism 2 of 5 youtube.com

TJ Street farm6.staticflickr.com

You can use matrices of rational polynomial functions in the Laplace transform variable s, and then solve by determinant. The notation is compact, and it needs to be because multiplying numberator and denominator makes for huge expressions.

But this use of matrices for differential equations is beyond my present understanding. I read the words, but I cannot a test to what they are saying. Such is Modern Controls. I have so much more to say.

SJG

Jefferson Starship - Miracles youtube.com

So going back to D'Azzo and Houpis, 1988

So A is the systems matrix, and the homogeneous state equation, input u(t) = 0, is:

x' = Ax

So you can have exponential scalar solutions, and you can write this out as a power series with factorials in the denominators.

And you can with the matrix equation write e^At = exp[At] = a power series in with the term (At) in the numerators that are raised to integer powers.

So this is called the State Transition Matrix, STM, and it is often denoted by Phi(t).

The STM is the solution to the homogeneous state equation.

Now this gets us into the characteristic equation for the matrix A. It comes from the case for a solution where x and x' are going the same direction, but are just of a different magnitude, by a scalar proportionality factor, Lambda.

And so I is an n by n identity matrix. The characteristic equation comes from finding the determinant of [Lambda I - A].

And so there are n + 1 terms in it, and there will be n roots. These are the characteristic values or eigenvalues of the matrix A.

They can be distinct, or repeated, and the complex roots must appear in conjugate pairs. The set of roots containing the complex-conjugate roots is said to be self-conjugate.

(I add, in a computer program it is best to store and process complex-conjugate as such. Doing these specially increases the accuracy. You know that the imaginary parts have to cancel, so you make it work that way.)

So this characteristic equation for the matrix A is denoted as Q(lambda) and it can be factored.

The product of the eigenvalues of a matrix A is equal to its determinant, and the sum of the eigenvalues, is equal to the sum of the elements on the main diagonal (the trace) of A.

Now to evaluate this State Transition Matrix, STM, Phi(t) there are several methods.

One uses the Caley-Hamiton Theorem, and this is proving to be beyond my current comprehension level. I am going to need another source, one which more carefully develops this. And D'Azzo and Houpis do not really develop Caley-Hamilton, and they certainly do not prove it.

You can do it with the Laplace Transform, and this does require finding the eigenvalues and then doing partial fraction expansion, and then this last they are attributing to Oliver Heaviside.

I would say that this is the most common way if you want an analytic solution. Though it still helps to have suitable computer software. You don't want to be re-entering 10 digit floating point values.

Now the Laplace Transform does not work with non-linearities or with a time varying matrix A. So the other way is a computer numerical solution, which really just amounts to integrating, and this does work just fine with non-linearity and time variance. And this is the most common kind of simulation for systems described by differential equations. But there are no analytic design methods which come out of this, just more and more simulation runs. You could do this with some multivariable Newton-Raphson method, and just make the machines do the work, until you get what you want.

en.wikipedia.org

But often you will see a herd think effect, simulating things which would depend on far more accuracy than is present in the component models or in the system description. It becomes just a busy box.

Now, because most of the Conventional Controls stuff and Modern Controls stuff which follows is pretty standardized, I am going to jump way ahead in the book to something which I think was added to this 1988 3rd edition, Liapunov's Second Method.

This is the place where this gets to be like Nonlinear Dynamic Systems Theory, or Chaos Theory.

So Lipunov's Second requires dermination of a scalar function V, called the Liapunov Function.

" This function must approach an equilibrium point along a trajectory as time increases. A Liapunov function is readily determined for linear time-invariant systems; however, the determination is difficult for nonlinear and for time-variable systems. Despite these limitations, the Liapunov method provides a generalized approach to stability that is needed by the control engineer. "

Vladimir M. Lipunov, Russian Astrophysicist, born 1952, still living, at Professor of the Moscow State University, Doctor of Physical and Mathematical Sciences en.wikipedia.org

ieeexplore.ieee.org

5 page pdf math.okstate.edu

en.wikipedia.org

open-science-repository.com

SJG

A good movie about Marquis De Sade, using improvised pens to write on rolls in cloth to be smuggled out of prison. imdb.com

Joe Bonamassa Official - "I'll Play The Blues For You" - Live At The Greek Theatre youtube.com

Midnight Blues (note the 5 string bass) youtube.com

Norah Jones - Something youtube.com

This Lipunov Controls is new to me. Is it intended for space flight? The extreme non-linear mathematics is used in all kinds of areas, but not really for controls.

doesn't seem to be the same person: linkedin.com

Differential equations for engineers and scientists / C.G. Lambe and C.J. Tranter. 2018, 372 pages *

Classical Mathematical Physics Dynamical Systems and Field Theories Thirring, Walter E., 1927- Springer +

Introduction to Dynamical Systems Brin, Michael (2002) Introduction to dynamical systems / Michael Brin, Garrett Stuck(Cambridge 2002, 240 pages) *

SJG

So, finishing up with D'Azzo and Houpis, 1988 3rd edition.

I know the frequency domain and Laplace transform stuff backwards and forwards. And the takes up the first half of the book.

But the second half is Modern Controls, and primarily time domain. It also introduces a number of new concepts, and then Modern Controls has continued to evolve since this book was published.

So I need now to go to other sources.

From this: Takahashi, Y. et al "Control and Dynamic Systems 1970

D'Azzo and Houpis lift some spacey looking 3d Phase Diagrams, worthy of the Chaos Theory movement.

Control and dynamic systems [by] Yasundo Takahashi, Michael J. Rabins [and] David M. Auslander. (1970, 800 pages!) *

D and H go onto talk about discrete time systems and the Z-transform. But they also introduce something I have never heard of before, the Tustin transform and they reference a 1947 paper by A. Tustin.

Okay, this is just another name for the Bilinear Transform, and of course I know all about that. en.wikipedia.org

10 page pdf, MIT ocw.mit.edu

another 10 page pdf web.cecs.pdx.edu

page 69 of 520 page pdf, The Art of VA Filter Design, by Vadim Zavalishin (this might be an online only book, as I cannot find anything else of it) native-instruments.com

^ this might be audio oriented Vadim Zavalishin - “The art of VA filter design” – A different kind of digital filter theory ( hour long talk) youtube.com

Interview, almost 2 hours adsrsounds.com

SJG

Wave of Bomb Threats Terrorizing Historically Black Colleges Continues During Black History Month (shows importance of Black Colleges) democracynow.org

Filmmaker Stanley Nelson on Police Brutality, Black History & His First Oscar Nomination for “Attica” (has that surreal phone call between Richard Nixon and Nelson Rockefeller) democracynow.org

Advanced control system design / Bernard Friedland. 1996 *

Optimal control with aerospace applications / James M. Longuski, Jose J. Guzman, John E. Prussing.(2014) *

Feedback control for computer systems / Philipp K. Janert. (2013) *

Functional analysis, calculus of variations and optimal control / Francis Clarke (2013) *

Calculus of variations and optimal control theory : a concise introduction / Daniel Liberzon *

Control theory and its applications / Vito G. Massari, editor. (2011) 0

Nonlinear model predictive control : theory and algorithms / Lars Grüne and Jürgen Pannek (2011) *

**** Nonlinear power flow control design : utilizing exergy, entropy, static and dynamic stability, and Lyapunov analysis / Rush D. Robinett III, David G. Wilson (2011) *

Circuit design using personal computers / Thomas R. Cuthbert, Jr. (1983)

Optimization using personal computers : with applications to electrical networks / Thomas R. Cuthbert, Jr. (1987)

These books have stupid titles. But then not everyone that easily transitioned from FORTRAN and mainframes to PCs.

There is good mathematics in these books and it is broadly applicable today.

SJG

X - Burning House of Love youtube.com

So reading this now, it is awesome!

Circuit design using personal computers / Thomas R. Cuthbert, Jr. (1983)

abebooks.com

Don't know that much about buying books used, but I need to learn because I want to collect so many of these.

Title is stupid. But what Cuthbert means is the use of microcomputers and hand held calculators. Cuthbert is using a Commodore PET. He acknowledges the arrival of the IBM PC, giving microcomputers a new legitimacy.

He also uses HP-67 and 97. He talks about HP-41. And about HP-9815. I think this had cost close to $1000, full QWERTY keyboard, but undersized buttons. 1 or 2 line by 80 character LCD display and BASIC.

Cuthbert quotes R. W. Hamming, saying that the best programs for a designer to use, are his own.

Thomas R. Cuthbert, Jr. Director, Advanced Tehnology Collins Transmission Systems Division Rockwell International Corporation Dallas, Texas

He signs his preface as Plano Texas, December 1982

SJG

Public Toilet Design: From Hotels, Bars, Restaurants, Civic Buildings and Businesses Worldwide // Francesc Zamora Mola (2013)

Firmly sits on the the throne for this topic.

So right off I want to start chronicling some of Cuthbert's class references and some of his other notable references:

Matthaei, Young, and Jones (1964) Microwave Filters, Impedance-Matching Networks, and Coupling Structures.

Hamming, R. W. (1973) Numerical Methods for Scientists and Engineers

Ley, B. J. (1970) Computer Aided Analysis and Design for Electrical Engineers

McCalla, T. R. (1967) Introduction to Numerical Methods and FORTRAN Programming

Murdock, B. K. (1979) Handbook of Electronic Design and Analysis Procedures Using Programmable Calculators

Noble, B. (1969) Applied Linear Algebra

Terman, F. E. (1943) Radio Engineers' Handbook

Van Valeknburg, M. E. (1960) Introduction to Modern Network Synthesis ( he had many editons of many books )

Zverev, A. I. (1967) Handbook of Fiter Synthesis

Acton, F. S. (1970) Numerical Methods That Work

Aoki, M. (1971) Introduction to Optimization

Bandler, J. W. (1973) in "Modern Filter Theory and Design" (G.C. Temes and S.K. Mitra eds)

Beale, E. M. L. (1972) in "Numerical Methods for Non-Linear Optimization (F. A. Lootsma, ed.)

Beveridge, G. S. and R. S. Schechter (1970) Optimization: Theory and Practice

Blinchikoff, H. J. and A. I. Zverev (1976) Filtering in the Time and Frequencey Domain

Bode H. W. (1945) Network Analysis and Feedback Amplifier Design

Box, M. J., D. Davies, and W. H. Swann (1969) Non-linear Optimization Techniques

Churchill, R. V. (1960) Complex Variables and Applications

Daniels, R. W. (1974) Approximation Methods for Electronic Filter Design

Dixon, L. C. W. (1971) in Numerical Methods for Nonlinear Optimization (F. A. Lootsma, ed.)

SJG

So more of Cuthbert's book references. And I do like old books of this type.

Ralston, A. (1965) A First Course in Numerical Analysis

Ramo, S., and J. R. Whinnery (1953) Fields and Waves in Modern Radio. I think the Vanduzer author was added for a later edition.

Saal, R. (1979) Handbook of Filer Design

Seshu, S., and N. Balabanian (1959) Linear Network Analysis

Spence R. (1970) Linear Active Networks

FILSYN a general purpose filter synthesis program, 1977

Temes, G. C., and S. K. Mitra (1973) Modern Filter Theory and Design

Taub, F. J. (1964) Interactive Method of Solution of Equations

Turnbull H. W. (1952) Theory of Equations

Now I am emphasizing books because they are easier to get. But there are still a few other things I need to chronicle here anyway.

Besser, L., and S. Swenson (1977) trade article about FET amp design.

Hewlett-Packard (1968) S-parameters ... App note 95, September 1968

(1972) S-parameter design, app note 154 April

Kotzebue, K. L. (1976) and (1979) papers in IEEE Trans. Microwave Theory. A quasi-linear approach to the design of microwave transistor power amplifiers. And in Cuthbert's text he talks of Kotzebue saying that with common emitter BJT's, the input saturates first.

also an article by K. S. Shanmugan

Simulation of communication systems / Michel C. Jeruchim, Philip Balaban, K. Sam Shanmugan (1992), Shanmugan has earlier books about digital communications

SJG

I want here to add some references which Thomas Remy Cuthbert Jr. does not make: The Shanmugam book I could not find.  Availability today may be limited:Shanmugam, K. Sam  Digital and analog communication systems / K. Sam Shanmugam ( 1979 ) but has other books too.

And then Cuthbert deals a lot with filtering and ladder networks: Lam, Harry Y. F., 1944- Analog and digital filters : design and realization / Harry Y-F. Lam Englewood Cliffs, N.J. : Prentice-Hall, c1979

amazon.com

Analog and digital filters : design and realization / Harry Y-F. Lam (1979)

• and available for used purchase

Ralph J. Smithhttps://amazon.com

Charles A. Holt amazon.com Good book.  He also has an electromagnetism book

William Hayt, also good amazon.com

Newer one than what Cuthbert references: Ramo, Whinnery, and Van Duzer, this is also very good, 1975

Johnk, Carl T. A. (Carl Theodore Adolf), 1919-  Engineering electromagnetic fields and waves / [by] Carl T. A. Johnk.   Communication systems : an introduction to signals and noise in electrical communication / A. Bruce Carlson  ( 1986, but goes back further and up to 2002 )

Frederick, Dean K., 1934-   Title Linear systems in communication and control / Dean K. Frederick and A. Bruce Carlson ( goes back far like 1971 )   Oppenheim, Alan V., 1937-    Signals and systems / Alan V. Oppenheim, Alan S. Willsky with Ian T. Young and his other book about Digital Filtering

Lyons, Richard G., 1948-   Understanding digital signal processing / Richard G. Lyons. This is a bit of an overview, lighter on math, kind of book.

Simon Haykin, Active Network Theory, his 5th book.   Read through chapter 4.  Has formal matrix theory for going from element lists and then having matrix descriptions to indicate what connects to what. Extensive formal theory for this! So in the Haykin book I am ready to start chapter 5.  More 2 port network properties.  It's going to talk about reciprocity.   Then there will be a chapter about scattering parameters.

The book does deal with gyrators, negative impedance converters, and inverse negative impedance converters.  These, along with mutually coupled inductors are the 4 unusual type of matrix two ports. Active network theory / [by] S. S. Haykin. (1970) * Deals with node and loop equations.  But this book is not really using standard terminology.   Haykin is at McMaster Univ.

Then also State Variables approach! Charles A. Holt book, and M. E. Vanvalkenberg

Active and passive analog filter design : an introduction / Lawrence P. Huelsman. (1993)  This guy had written a huge number of books, but Cuthbert does not mention him SJG AC/DC - It's A Long Way To The Top (If You Wanna Rock 'N' Roll) youtube.com

Thin Lizzy - The Boys Are Back In Town - Live At Rockpalast.avi youtube.com

X - Live at The Teragram, DTLA 12/19/2019 youtube.com

youtube.com youtube.com

youtube.com

youtube.com

Just want to say a little bit more about Thomas Remy Cuthbert Jr and his very fine first book.

He was born 1928

On this business of fitting polynomials to data, it looks simple. You can solve n+1 equations with n+1 unknowns and make a nth order polynomial fit n+1 data points. But the results are useless. You get something that swings wildly, like about 100x the span of the data points.

So how can your really do it? Well it is a complex subject.

Cuthbert cites one Levy, E. C.. And he is working with rational polynomial functions. Both numerator and denominator are polynomials. I hope that somewhere else, in a newer book this is worked out.

But Cuthbert cites:

Levy, E. C. (1959) Complex-Curve Fitting, IRE Trans, Auto. Control May pp.37-43

And then Fano, R. M. did work in 1950 on broadband impedance matching.

This is probably him:

Transmission of information; a statistical theory of communications, Robert Fano, 1961 *

What Cuthbert cites though is just a paper.

Fano extended the work of Bode,

Bode, H. W. 1945 book.

Here:

Fano, R. M. (1950) Theoretical Limitations on the broadband matching of arbitrary impedances. J. Franking Inst, Feb pp 139-145

and I have no idea what the above ^ journal is.

THis is Bode:

Network analysis and feedback amplifier design, by Hendrik W. Bode (1945) *

SJG

Best of Acid Jazz and Funky Grooves youtube.com

Kotzebue, K. L. worked on maximum added power. Usually people look to maximum power transfer. But microwave amps often don't have that much gain.

This might not have been bipolar. It could have been FET. But for maximum power gain it would have to be common emitter or common source.

He found that the inputs saturated first.

So I am underwhelmed by this work. It just shows that you can't design RF power amps based on small signal modelling. Gee Whiz!

SJG

The Big Book of Facts About Bodily Functions // Robert Lewis (2021) This develops some great statistical distributions about intestinal distributions. Also details effects of various inputs on output, highlighting corn, cabbage and dairy.

Candyman and Dixie, my F2F life is private and well protected. Now you many not like that, but if you were F2F with me, you would be made to understand that.

Quite an old book:

Semiconductor-diode parametric amplifiers / Lawrence A. Blackwell [and] Kenneth L. Kotzebue. (1961) *

Matthaei, Young, and Jones, known in some quarters as "The Bible" was invoked a couple of times, and then finally pertaining to 'printed circuit edge coupled filters'.

SJG

So like maybe 6 months to a year ago I read:

Numerical Recipes in FORTRAN, 2nd edition.

Numerical Recipes in FORTRAN by W. H. Press (Author), B. P. Flannery (Author), S. A. Teukolsky (Author), W. T. Vetterling (Author)

There are newer versions of this, for the newer versions of FORTRAN. But what I want o look at now is this list of authors. It seems to be some kind of a corporate body. So are the other books with such titles written by this same team, and how far forward does it go?

SJG

^^ when this was written no, but now:

numerical.recipes

SJG

Numerical recipes : the art of scientific computing / William H. Press [and others]. (2007) *

This newest version does not list a computer language. All the better.

Allowing for some fund raising, you can read this online.

Now, a bit more about Thomas Remy Cuthbert. His is a book about circuit design algorithms. Only secondarily is it about numerical analysis. But he does talk about an algorithm and software which can solve polynomials up to 20th degree.

I had bought and used a program, it may have been the same one. But why only up to 20th degree I do not know.

Never needed to go beyond that, but today with things more computer based, maybe.

SJG

So some references from the Numerical Recipes book:

Hamming, R. W. 1962 Numerical Methods for Engineers and Scientists, 1988 Dover reprint. And the stuff Dover reprints is always good.

Ralston, A. and Rabinowitz P. 1978 First Course in Numerical Analysis.

Sedgewick, R. 1988 Algorithms

Knuth, Donald E.

and talk about Gauss-Jordan Elimination, and also about pivots, additional right hand column matrices, and compact notation, LU decomposition, Spase, S.I.A.M., commerical packages, LINPACK, IMSL, NAGFortran library, Simulated Annealing.

FFT, from midsixtys. J. W. Cooley, J. W. Turkey, and done by power of 2 or by power of 4

And this nitwit:

E. O. Brigham, 1974 he Fast Fourier Transform

SJG

^^

Talk about Square Window, Welch window, Bartlett window, Hann window

Deming W. E. 1943 Statistical Adjustment of Data, DOVER

Runge-Kutta Method

Rice, J. R. 1983 Numerical Methods

Actior, F. S. 1970, 1990 Numberical Methods that Work, Mathematical Association of America

Strang G. and Fix G., 1973, An Analysis of the Finite Element Method

OPpenheim, A. V. and Schafer, R. W. 1989 Discrete-Time Signal Processing

SJG

WOW! Burma Food youtube.com

Miles Davis and Thelonious Monk youtube.com

Thomas Cuthbert also referenced George D. Vendelin

His first book, "Design of Amplifiers and Oscillators by the S-Parameter Method" was published in 1982. He later joined with two colleagues and published "Microwave Circuit Design Using Linear and NonLinear Techniques" in 1990 (1st ed.), 2005 (2nd ed.) and 2021 (3rd ed.).

amazon.com

Microwave circuit design using linear and nonlinear techniques / George D. Vendelin, Anthony M. Pavio, Ulrich L. Rohde. *

SJG

I would also mention Ken Kundert

The designer's guide to SPICE and Spectre / by Kenneth S. Kundert ; [with foreword by Paul Gray]. (1995) 0

He also wrote a chapter in a book about sparse matrix analysis back when he was at UCB.

And I would draw attention to Rhode Schwartz because of the Vendelin book: rohde-schwarz.com

And then there is Stephen A. Maas

Nonlinear microwave circuits / Stephen A. Maas. (1997) *

Nonlinear microwave and RF circuits / Stephen A. Maas. 0

SJG

Another Curthbert Ref:

Antenna engineering handbook / edited by Richard C. Johnson and Henry Jasik. amazon.com

And writing a forward for Ken Kundert:

en.wikipedia.org

Physical electronics and circuit models of transistors / Paul E. Gray [and others]. (1964)

This is a different Paul Gray, Paul R. Gray from UCB ccst.us

SJG

tuscl.net

X- Live At The Whisky A Go Go youtube.com

Have Nots youtube.com

An old book: Signals and systems in electrical engineering [by] William A. Lynch [and] John G. Truxal (1962)

Introductory system analysis: signals and systems in electrical engineering / [by] William A. Lynch [and] John G. Truxal. (1961) *

Linear systems in communication and control / [by] Dean K. Frederick and A. Bruce Carlson. (1971) *

Feedback circuit analysis / [by] S. S. Hakim. (1966) wrote many books covering a very broad range *

SJG

Veruca Salt Live youtube.com

Want to look more at what is available from Simon Hakim.

Active network theory / [by] S. S. Haykin. (1970)

Detection and estimation : applications to radar / edited by Simon S. Haykin. (1976)

and there is more!

SJG

Linear active network theory / Louis Depian. (1962)

Detection and estimation : applications to radar / edited by Simon S. Haykin. (1976)

Communication systems / Simon Haykin. (1978)

Array processing : applications to radar / edited by Simon Haykin. (1980)

Introduction to adaptive filters / Simon Haykin. (1984)

Adaptive filter theory / Simon Haykin. (1986)

An introduction to analog and digital communications / Simon Haykin. (1989)

Advances in spectrum analysis and array processing / Simon Haykin, editor. (1995) but only vol 2 of the 3 volumes is available

Adaptive filter theory / Simon Haykin (1996 3rd edition)

Signals and systems / Simon Haykin, Barry Van Veen. (1998)

Neural networks : a comprehensive foundation / Simon Haykin (1999) and it goes forward too!

Let me look now to Alan Oppenheimer

but first:

Digital signal processing with kernel methods / José Luis Rojo-Álvarez, Manel Martínez-Ramón, Jordi Muñoz-Marí, Gustau Camps-Valls (2018)

Digital signal processing : a computer based approach / Sanjit K. Mitra (2006) 0

Analysis and synthesis of linear active networks. Sanjit K. Mitra (1969)

Active inductorless filters / Edited by Sanjit K. Mitra. (1971)

Modern filter theory and design. Editors: Gabor C. Temes and Sanjit K. Mitra (1973)

Understanding delta-sigma data converters / Richard Schreier, Gabor C. Temes (2005) 0

SJG

Eliahu I. Jury en.wikipedia.org

Inners and stability of dynamic systems [by] E. I. Jury (1974) 0

Theory and application of the z-transform method / [by] E. I. Jury (1973) *

Sampled-data control systems / Eliahu I. Jury (1977) *

R. W. Hamming Coding and information theory / Richard W. Hamming (1986)

Introduction to applied numerical analysis / [by] Richard W. Hamming (date not known)

Numerical methods for scientists and engineers / R. W. Hamming. (1962)

Calculus and the computer revolution [by] Richard W. Hamming. (1968, only 72 pages)

Computers and society / [by] R. W. Hamming. (1971)

and more follows.

Richard Wesley Hamming (February 11, 1915 – January 7, 1998) was an American mathematician whose work had many implications for computer engineering and telecommunications. His contributions include the Hamming code (which makes use of a Hamming matrix), the Hamming window, Hamming numbers, sphere-packing (or Hamming bound), and the Hamming distance.

Born in Chicago, Hamming attended University of Chicago, University of Nebraska and the University of Illinois at Urbana–Champaign, where he wrote his doctoral thesis in mathematics under the supervision of Waldemar Trjitzinsky (1901–1973). In April 1945 he joined the Manhattan Project at the Los Alamos Laboratory, where he programmed the IBM calculating machines that computed the solution to equations provided by the project's physicists. He left to join the Bell Telephone Laboratories in 1946. Over the next fifteen years he was involved in nearly all of the Laboratories' most prominent achievements. For his work he received the Turing Award in 1968, being its third recipient.

After retiring from the Bell Labs in 1976, Hamming took a position at the Naval Postgraduate School in Monterey, California, where he worked as an adjunct professor and senior lecturer in computer science, and devoted himself to teaching and writing books. He delivered his last lecture in December 1997, just a few weeks before he died from a heart attack on January 7, 1998.

en.wikipedia.org

SJG

R. W. Hamming mathgenealogy.org

Oliver Heaviside

Heaviside operational calculus : an elementary foundation / [by] Douglas H. Moore. (1971)

Lectures on Seiberg-Witten invariants / John Douglas Moore born 1943 0

SJG

John Douglas Moore

web.math.ucsb.edu

web.math.ucsb.edu

SJG

Optimization Using Personal Computers With Applications to Electrical Networks John Wily and Sons 1987

Thomas R. Cuthbert Jr., his second book, and he is now

Director, Digital Signal Processing Collins Transmission System Division Rockwell International Corporation Dallas Texas

Thomas Remy Cuthbert, born 1928

Now this book, like his prior, has a really stupid title. But never mind the math in this is really good and I have long wanted to read it.

SJG

How Often Do You Use Algebra tuscl.net

Hope You're Feeling Better ~ Santana youtube.com

Cuthbert has got a card in the book where in 1987 you could send $30 to Wiley and get a 5 1/4 DSDD floppy with all 33 of the BASICA programs, plus some test data.

Lots of references, but different from his other book.

SJG

Curtbert gives refences for Problem matrices, not maybe singular, but still problematic, and for other data too.

first of all Knuth 1968, Art of Computer Programming. And matrix types, Vandermonde, Combinatorial, Cauchy, Hilbert

and then Nash 1979 Compact Numerical Methods for Computers: Linear Algebra and Function Administration

matrix types: Hilbert, Ding Dong, Moler, Bordered, Diagonal, Wilkinson W+, Ones

Dongarra, J. J., C B. Moler etal (1979) LINPACK User's Guide, SIAM

Smith (1976) and Garbow (1977) document the EISPACK eigensystem

Hopper (1981) Harwell Subroutine Library. United Kingdom Atomic Energy Authority

Compact numerical methods for computers : linear algebra and function minimisation / J.C. Nash. (1990 2nd edition) *

SJG

So this seems to be a pivotal reference,

Smith, Boyle, Dongarra, Garbow, Ikebe, Kelma etal Matrix Eigensystem Routines, Springer-Verlag, 1976

Matrix eigensystem routines : EISPACK guide / B. T. Smith [and others] 1976 *

also available is a 1977 extension guide

And Cuthbert's book:

Optimization Using Personal Computers: With Applications to Electrical Networks Hardcover – January 1, 1987 by Thomas R. Cuthbert amazon.com

SJG

Courant, R. (1936) Differential and Integral Calculus, Wiley

Differential and integral calculus / by R. Courant ; translated by E. J. McShane. (1937 2nd edition) *

And he has other books too.

I like old books like this because I can see how they likely explained things differently.

SJG

X - Burning House of Love (Live at Farm Aid 1985) youtube.com

Continuing with Cuthbert:

Optimization Using Personal Computers With Applications to Electrical Networks John Wily and Sons 1987

Cuthbert p14

He sites:

Acton, F. S. (1970) Numerical Methods That Work Numerical methods that work / Forman S. Acton. (Mathematical Association of America 1990)

• widely disseminated

Cuthbert quotes Acton:

" minimum-seeking methods are often used when a modicum of thought would disclose more appropriate techniques. They are the first refuge of the computational scoundrel, and one feels at times that the world would be a better place if they were quietly abandoned. ... The unpleasant fact that the approach can well require 10 to 100 times as much computation as methods more specific to the problem is ignored -- for who can tell what is being done by the computer? "

I have seen this first hand. Curthbert is writing in 1987. A lot of this correlates to the popularity of personal computers and to the rise of some software vendors who's names I will not speak.

They promote idiocy. And wasting computer cycles is not by itself that important. The problem is that the entire approach to the problem at hand is completely wrong headed. And then the simulation program becomes a child's busy box, a video game. And the well paid people who are running this are just glorified script files. The simulation program serves as a division of labor, as there will be one pit boss who gives the orders, and then minions who carry it out. Very very little smarts is being used, and what results is usually completely appropriate, but they will never understand this.

I am embarrassed to admit that I know how many millions of dollars a company can blow through doing this. And I know there are large sectors of industry which are entirely like this.

I have seen things like this in human behavior all along. But this specific kind of stuff pertaining to computer simulations I first learned of reading discussion way way back about the race for the 64k DRAM chips. The US firms lost and Japan won. One analysis explained that in the US modelling and simulations some wrong assumptions had been made. But 95% of those doing the design and simulations were not even aware that there were such assumptions.

These people, they just know that if they continue being good frat boys, then they will continue to get paid and continue to have social approval. This is about all they are good for. They understand things in terms of buzz words, but they don't have an in depth understanding of how the ideas developed, what really is at issue, or of what the limitations are in the analysis. They don't understand the assumptions behind the buzz words.

SJG

X Burning House of Love youtube.com

So continuing on with Thomas Remy Cuthbert jr. 1987

So he gives us a function F in the variables x and y. So he shows a graph of F rising over the x and y plane. There are 4 local maxima and 3 saddle points.

The function he gives us in that that complex, but it seems to be just an example to give us the idea.

So he talks about partial derivates and then he talks about approximating the maxima by a parabola in two variables.

Not sure why you really need to do this here, and he does not go into the math to do this, but he has 33 BASICA programs to do it.

I think if the function F were something for which each point required lengthy simulations, then by using the 2d parabolic approximation you might be able to get a satisfactory result more quickly.

Himmelblau, D. M. (1972) Applied Nonlinear Programming, McGraw Hill

SJG

X Burning House of Love youtube.com

Applied nonlinear programming [by] David M. Himmelblau (1972) *

Himmelblau has other books oriented towards numerics for Chemical Engineering.

And Nonlinear Programming is the description of all this preferred by Cuthbert.

Gilbert Strang, Linear Algebra 1976, read just a couple of months ago.

And Cuthbert idenfies himself as being with Collins Radio Company, Texas Instruments, and Rockwell International and he signs his preface as being in Plano Texas.

He acknowledges Karl R. Varan. Our local Varian?

Davidson, W. C. (1959) wrote books about this, but not standard publishing.

In 1847 Cauchy described the method of steepest ascent.

Traub, J. F. (1964) Iterative Method for the Solution of Equations Iterative methods for the solution of equations / [by] J.F. Traub. (1964) *

and also note:

Information, uncertainty, complexity / J.F. Traub, G.W. Wasilkowski, H. Woźniakowski (1983) *

SJG

X- Live At The Whisky A Go Go youtube.com

Lootsman, F. A. (1972) Numerical Methods for Nonlinear Optimization Numerical methods for non-linear optimization : Conference sponsored by the Science Research Council, University of Dundee, Scotland, 1971 / Edited by F. A. Lootsma.

• a conference digest

Vlach J. and K. Singhal(1983) Computer Methods for Circuit Analysis and Design Computer methods for circuit analysis and design / Jiří Vlach, Kishore Singhal (1983) *

Dixon, L. C. W. (1972) Nonlinear Optimization 0

Practical methods of optimization / R. Fletcher (1980) 2 volumes *

Selected applications of nonlinear programming / [by] Jerome Bracken and Garth P. McCormick. Imprint New York : Wiley, [1968] *

Compact numerical methods for computers : linear algebra and function minimisation / J.C. Nash. (1990 second edition) *

Methods for solving systems of nonlinear equations / Werner C. Rheinboldt (1998 2nd ed) *

SJG

X youtube.com

Thomas Cuthbert's references

Forsythe, G. E. (1970) mention of an article about pitfalls in computation, why a math book is not enough

Maron (1982) Numerical Analysis a Practical Approach Numerical analysis : a practical approach / Melvin J. Maron, Robert J. Lopez (1991 2nd ed)

• widely distributed

Traub (1964) Iterative Methods for the Solution of Equations widely distributed

Wilkinson (1963) Rounding Errors in Algebraic Processes *

article Kelma V. C., and A. J. Laub (1980) about the singular value decomposition...

Noble B. (1969) Applied Linear Algebra Applied linear algebra / Ben Noble and James W. Daniel. (1988 3rd edition) *

Murray (1972) Numerical Methods for Unconstrained Optimization Numerical methods for unconstrained optimization / edited by W. Murray (1972)

• widely disseminated

Nash (1979) Compact Numerical Methods for Computers Compact numerical methods for computers : linear algebra and function minimisation / J.C. Nash. (1990) *

Gill, P. E., and Murry and Wright (1981) Practical Optimization Numerical methods for constrained optimization / edited by P. E. Gill and W. Murray. (1974) *

Bellman (1960) Introduction to matrix analysis / Richard Bellman. (SIAM 1997 2nd edition) *

Jennings (1977) Matrix Computations for Engineers and Scientists Matrix computation for engineers and scientists / Alan Jennings (1977) *

Introduction to matrices and linear transformations, by Daniel T. Finkbeiner, II (1966 2nd ed)

• widely disseminated

McCalla, T. R. (1967) Introduction to Numerical Methods and FORTRAN 0

Computational methods in elementary numerical analysis / J. Ll Morris (1983)

• widely disseminated

Solving least squares problems / [by] Charles L. Lawson [and] Richard J. Hanson. (1974) *

A first course in numerical analysis / Anthony Ralston, Philip Rabinowitz (1978 2nd ed) *

Nonlinear programming : sequential unconstrained minimization techniques / Anthony V. Fiacco, Garth P. McCormick. (SIAM 1990 2nd ed) *

Matrix computations / Gene H. Golub, Charles F. Van Loan (2013 4th ed) *

Advanced calculus / Wilfred Kaplan. (1973 2nd ed, has other books too) *

Nonlinear and dynamic programming / by G. Hadley. (1964)

• widely disseminated

Foundations of optimization [by] Douglass J. Wilde [and] Charles S. Beightler (1967) *

The art of computer programming / [by] Donald E. Knuth. (1968 3 volumes) *

Practical methods of optimization / R. Fletcher. (1987 2 volumes) *

Himmelblau, D. M. , Applied Nonlinear Programming (1972) Applied nonlinear programming [by] David M. Himmelblau (1972) *

also note

Numerical linear algebra with applications : using MATLAB / by William Ford. (2015) 0 now

Foundations of optimization / Osman Güler (2010) *

SJG

Sewerage and Sewage Disposal: Calculations and Design // L.B. Escritt (1956) Fitting treatment given the author's surname is pronounced "excrete".

Using math, using algebra. We have talked about laptops. I don't like taking laptops to Viet Coffee. To easy for tea refills to get spilled into it.

So I didn't have it.

And Founder is going to give us complete mathematical notation in the post box, but it is not ready yet.

So I had to resort to ball point pen on paper.

Reading Thomas Cuthbert it made me think about things I had done long ago.

I decided to figure out the equations for least squares straight line fit to data.

Not hard, I'd followed it in books before and I had done it myself.

Just set up the square error term and the sum, and the use FOIL to evaluate the square. Pull she sum signs outside. Then differentiate for both variables, and then solve for when they are zero.

I set it up with Cramer's rule, so I can inspect for the possibility of a singular matrix. And I check the second derivatives, and I am done!

We use what math we want to. Now sure, lots of guys turn into Homer Simpson. But I for one am not going to let that happen. Well into middle age I am committed to learning much more than I ever have before, and to staying current in quite a few different areas.

SJG

X-Burning House of Love youtube.com

Introduction to Algorithms, Thomas Cormen, 3rd ed, 2009 +

amazon.com 4th ed, 1312 pages

SJG

Ain't No Mountain High Enough youtube.com

Differential and integral calculus / by R. Courant Courant, Richard, 1888-1972. (1937, 1961) Old old calculus book, translated from French.

SJG

Sex Slave Uni tuscl.net

Claudette Colbert tuscl.net

The Rolling Stones - Gimme Shelter - 2013 School of Rock AllStars Team 4 youtube.com

Richard Courant (January 8, 1888 – January 27, 1972) was a German American mathematician. He is best known by the general public for the book What is Mathematics?, co-written with Herbert Robbins. His research focused on the areas of real analysis, mathematical physics, the calculus of variations and partial differential equations. He wrote textbooks widely used by generations of students of physics and mathematics. He is also known for founding the institute now bearing his name.

The book of his I have seems to be the first of 2 volumes. And it is different from modern texts. I read these old books to see this. It is not so much what they really convey. It is more how they talk about it, what they feel they need to explain, and what they feel that they can just assume people will understand.

This book was originally written in French too.

en.wikipedia.org

Courant also wrote with David Hilbert.

SJG

amazon.com

Yeah, this is good. Probably written in German originally, not French.

More words than formulas or graphs.

Reads a bit more like a book of Analysis, than just a book of Calculus.

Talks about a lot of stuff which I probably take for granted because I grew up learning about these ideas.

like:

The Continuum of Numbers The Conept of Function

SJG

Linda Ronstadt - You're No Good - 2016 School of Rock AllStars Team 6 youtube.com

Schwarz inequality

en.wikipedia.org

mathworld.wolfram.com

brilliant.org

SJG

Linda Ronstadt - You're No Good - 2016 School of Rock AllStars Team 6 youtube.com

Talks about the limit of a sequence

about geometric series

first and second definition of convergence, and geometric series.

He gets into logarithms and then different number bases. Says Babylonians used base 60. Less repeating decimals that way, more terminating. That makes sense, 60 has so many factors.

SJG

Linda Ronstadt - You're No Good - 2016 School of Rock AllStars Team 6 youtube.com

Gets to polar coordinates and complex numbers early on, before needing them. Then gets to differentiation and integration for basic algebra and trig functions. Real easy. Not that much different from modern texts IMHO. More a self study text than one with the homework problems.

SJG

Linda Ronstadt - You're No Good - 2016 School of Rock AllStars Team 6 youtube.com

So he talks about mean value thm, and then a second of these, and then all the standard funtions, going to log and exponential and hyperbolics. And then integration by parts and by variable substitution, after the chain rule.

Then he gets to parametric representation!

SJG

Linda Ronstadt - You're No Good - 2016 School of Rock AllStars Team 6 youtube.com

Differential and integral calculus / by R. Courant Courant, Richard, 1888-1972. (1937, 1961) Old old calculus book, translated from French. Richard Courant (January 8, 1888 – January 27, 1972)

This is more similar to modern calculus text books than I had expected. And given the choice, I would put time into carefully following the newer books instead of this.

He has a second volume which I will read.

He actually has quite a few interesting looking books.

Going thru this, and cognizant of how long ago it was written, one thing comes to me.

I guess I when to school in the era of New Math. While it could have been better, I still got exposed to a lot of the concepts of advanced mathematics at an early age. I think it was much better than what those of my parent's generation got.

Courant talks a lot about power series and taylor series. And the modern books do this too.

To me this is related but peripheral to differential and integral calculus, but yet it is always associated.

Another old book talks about Cantor Dust. It is the idea that there are always numbers between numbers. And I guess the most extreme of this are the irrational numbers.

For people without much math experience irrational numbers are a challenging concept.

You get the terminating and repeating decimals when you do long division. But how do you get irrational numbers? Well you get them from a power series.

The kind of math and the uses of math which calculus is about requires a continuum of numbers which irrational numbers are the core of.

Today with floating point calculators we don't really think much about repeating decimals or irrational numbers. We just work within the precision we have and let that be sufficient.

HP Prime, 16 byte floating point, 33 decimal digits and 3 digit exponents.

Well if you do the long division yourself and look for the repeating decimal, that is an exact answer.

Calculus is more for the scientific calculator way, and of course allowing for the even more common irrational numbers.

Differential and integral calculus / by R. Courant ... translated by E.J. McShane volume 2

SJG

Sex Slave Initiation Uniform tuscl.net

The Rolling Stones - Gimme Shelter - 2013 School of Rock AllStars Team 4 youtube.com

Why do people find Finite Mathematics so intimidating? Most of the top undergraduate business programs make it a freshman prerequisite before entering the program.

Do kids chose to Major in business because they think it’s an easy path to wealth?

Sure, it covers some topics not typically taught in high school but many kids just think it’s “so hard”

I thought it was almost too easy. Maybe because I wasn’t a business major

I am not sure.

Finite Math can get into a lot of things.

Usually there is one Calculus book for the Math, Physical Science and Engineering majors. Then there is one for Social Science, Biology, and Business majors, and it is a softer book.

Finite Math sciencing.com

en.wikipedia.org

I took a Business Law Class during a summer at a Community College. Our instructor had been county DA. He was very smart. He was very complimentary and encouraging of me in class when he saw that I could challenge the way things were being presented in the text books examples, and he put down some of the Business Majors.

I got the highest exam score in the class and he complimented me, and I let him know that I was not a Business Major or a regular student at that school.

In my opinion, Business Majors are very outer directed people, responding to the social expectation that they graduate from college, but not really wanting to learn anything they don't have to.

So no, they aren't very bright.

I remember the first time I went to buy a new car. Once the deal was mostly done, they had me talk to this guy who's job it was to try and convince me that I can't work on the car myself, and that even though it came with a manufacturer's warranty, that it was worth it for me to buy the extended warranty.

Now I mean, what is the mathematical expectation of costs I will incur in car maintenance, versus the cost of the insurance. Which is higher? I mean someone could sell you an insurance policy for when light bulbs burn out, or for when it rains.

Then I looked at his hand, a very prominent ring, "San Jose State School of Business".

I think there are lots of more worthwhile things one could be learning in school, things which involve much more critical thinking, than Business. Business programs could be made much more critical thinking oriented.

SJG

The Rolling Stones - Gimme Shelter - 2013 School of Rock AllStars Team 4 youtube.com

Richard Courant's book talks about Simpsons Method for Numerical Integration.  I'm surprised that this goes back before computers.  But I also have always felt that their must be better methods. math.libretexts.org

mathworld.wolfram.com

People do cubic splines.  Never seen anyone do quintic splines, but it seems like it would work.sciencedirect.com

link.springer.com

en.wikipedia.org

Now when you only have certain data points, and you use one of these methods, you don't really know how well it is working because you don't have other data. If what you want though is to integrate a continuous function, like say the notorious gaussian.  You could use certain points to apply your method, and then look at how well you method comes up with something which fits the original function. And then what is the benefit of a very sophisticated method, as opposed to just using smaller intervals?

SJG

Pleaser pleasershoes.com

pleasershoes.com

The Kinks - Till the End of the Day (1965) ( like the images of the neat old cars ) youtube.com

THE BYRDS Greatest Hits - The Best Of THE BYRDS | HD/HQ youtube.com

Yardbirds Anderson Theatre 1968 youtube.com

I'm interested in cutting edge math, but mostly in the applications of if it. More math can be applied in more ways. But today this is mostly because you can make computers do it. You can do things with math which otherwise would be impractical.

And with this new Chaos Theory, you need computers to even be able to visualize it.

SJG

Catie Reviews Pleaser Red 5 Inch Single Sole Sling Back High Heel Shoes with Nurse Costume Try On. youtube.com

Looking for a moment to new Calculus books:

Some years back I read though most of a book by this team:

Thomas' calculus : early transcendentals / based on the original work by George B. Thomas, Jr., Massachusetts Institute of Technology ; as revised by Maurice D. Weir, Naval Postgraduate School, Joel Hass, University of California, Davis ; with the assistance of Christopher Heil, Georgia Institute of Technology Calculus. Weir, Maurice D. (2014)

Finite element exterior calculus / Douglas N. Arnold, University of Minnesota, Minneapolis, Minnesota Arnold, Douglas N., 1954- author (2018)

Linear models and time-series analysis : regression, ANOVA, ARMA and GARCH / Marc S. Paolella, Department of Banking and Finance, University of Zurich, Switzerland (2019)

Understanding Maple / Ian Thompson, University of Liverpool (2017)

Interesting stuff, but not really what I was looking for

SJG

Babyface - Change the World (MTV Unplugged, NYC, 1997) (Clapton plays his electric Fender Stratocaster) youtube.com

Kaitlyn Tries Pleaser KISS-254 Black 6 Inch High Heel Shoes With Black Stockings And Velvet Skirt (not the highest but an extremely sexy and totally CFM heel back design) youtube.com

pleasershoes.com

Chaotic dynamics : fractals, tilings, and substitutions / Geoffrey R. Goodson, Towson University Goodson, G. R. (Geoffrey Ross), 1948- (2017) *

SJG

Adaptive filter theory / Simon Haykin, Communications Research Laboratory, McMaster University, Hamilton, Ontario, Canada (2014)

SJG

Courant, R. (1936) Differential and Integral Calculus, Wiley

Differential and integral calculus / by R. Courant ; translated by E. J. McShane. 2nd volume, 1948 printing.

References H. W. Turnbull, The Theory of Determinants, Matrices, and INvariants, 1929

The theory of determinants, matrices, and invariants / by H. W. Turnbull (1945) * SJG

Affine transformations are what Courant goes on to talk about.

en.wikipedia.org

mathworld.wolfram.com

SJG

My favorite math book, which is written for non-mathematicians, is "1,2,3 infinity". I have a copy. It would never get published today. It says that the body of mathematics of the hottentors consisted of 4 words, 1,2,3 and more than 3. If you ask a hottentot tribesman how many children he has he'll say more than 3 if he has 4,5, or 6. It's a great book.

Reflecting on the Richard Courant books. One of the reasons I read them was to see how they are different from the new books. They are different. Texts for core college classes are written to a formula. It is understood what needs to be included and now it should be presented. I say that these new books are better.

The old books are very interesting and worthwhile, but you need to avail yourself of the new books to make sure you can follow the development.

Principles of mathematical analysis / Walter Rudin Rudin, Walter, 1921-2010 *

The theory of determinants, matrices, and invariants / by H. W. Turnbull (1945) *

curious celebratio.org

Maxwell's equations in periodic structures / Gang Bao, Peijun Li Bao, Gang, author (2022)

SJG

The theory of determinants, matrices, and invariants Turnbull, H. W. (Herbert Westren), 1885-1961 (1960 3rd edition)

This is a Dover republishing of a 1929 edition. Dover stuff is always good.

But here is a 1945 2nd edition: The theory of determinants, matrices, and invariants / by H. W. Turnbull Turnbull, H. W. (Herbert Westren), 1885-1961 *

SJG

I first encountered G. Thomas in high school in 1964. We used him in college. Excellent author.

1729 is the smallest number that can be written as the sum of 2 cubes, 2 different ways (1 and 12, 10 and 9).

^ got any links about this?

SJG

The Theory of Determinants, Matrices, and Invariants

by H. W. Turnbull

first issued 1928, based on lectures given in 1926

second edition 1945, reprinted 1948

Starts off talking about homogeneous linear equations

ANd then the various ways to notate the determinants.

SJG

Uvalde and Buffalo testimony before US House, quite disturbing youtube.com

Yes, this book is harder to follow than the modern books on this subject. The modern books are written to a formula which has developed over time.

This book does emphasize determinants, and it starts out with simultaneous equations.

If you are going to have computers do the computations, gaussian elimination is faster to the the inverse than determinants. But I agree, determinants is more interesting.

Relationship between determinants and permutations and combinations, and hence factorials.

Now this does get into the characteristic equation, using Lambda and an Identity Matrix.

And the Caley Hamilton Thm.

SJG

Quaternions en.wikipedia.org

LOL!

Yeah, I need newer math books. What math is used today has changed because of computers.

Principles of mathematical analysis / Walter Rudin Rudin, Walter, 1921-2010 * 3 editions, 1st edition was 1953

SJG

Principles of mathematical analysis / Walter Rudin Rudin, Walter, 1921-2010, 1st edition, 1953

mentions in the series, Bellman - Stability Theory of Differential Equations.

Stability theory of differential equations / R. E. Bellman 1953

Introduction to matrix analysis / Richard Bellman (1970)

Definitely a new kind of thinking comes in with going to calculus.

SJG

Livibaby tuscl.net

Wicker Park School of Rock youtube.com

Newshour Today youtube.com

Math is not sexist and racist despite what some what you to believe

Who says math is sexist or racist?

It isn't. But for example testing people for employment applications with things that are not a bona vide occupational requirement could be considered discriminatory.

SJG

So Rudin's text deals a lot with the move to a continuum of numbers, meaning irrational numbers.

Some of Rudin's refs, and of those in the pubisher's series

Rudin's first:

Graves, L. M. "The Theory of Functions of Real Variables" 1946

Hardy, G. H. "Pure Mathematics" 9th ed 1947 Hardy, G. H. and W. Rogosinski "Fourier Series" 2nd ed 1950

Kamke, E. "Theory of Sets" Dover 1950 (the stuff Dover reprints is always good!) Theory of sets / Translated [from the 2d German ed.] by Frederick Bagemihl Kamke, E. (Erich), 1890-1961. (1950 2nd German ed)

Landau, E. G. H. "Foundations of Analysis" 1951

Titchmarsh, E. C. "The Theory of Functions" 2nd ed 1939

Mathematics for the General Reader (2017) Titchmarsh, E. C. (Edward Charles), 1899-1963, +

The theory of functions / by E. C. Titchmarsh (1968 end ed)

• and other works too.

SJG

So the stuff on the publisher's series list will tend to be a little bit newer:

Ahlfors - Complex Analysis Buck - Advanced Calculus Codington and Levinson - Theory of Ordinary Differential Equations Golomb and Shanks - Elements of Ordinary Differential Equations Graves - The Theory of Functions of Real Variables Griffin - Elementary Theory of Numbers Hildebrand - INtroduction to Numberical Analysis Householder - Principles of Numerical Analysis Lass - Elements of PUre and Applied Mathematics Lass - Vector and Tensor Analysis Leighton - An Introduction to the Theory of Differential Equation Nehari - Conformal Mapping Newell - Vector Analysis Rosser - Logic for Mathematicians Rudin - Principles of Mathematical Analysis Sneddon - Elements of Partial Differential Equations Sneddon - Fourier Transforms Stoll - Linear Algebra and Matrix Theory Weinstock - Calculus of Variations

SJG

Principles of mathematical analysis / Walter Rudin Rudin, Walter, 1921-2010, 1st edition, 1953

More of what is in the book:

Talks about Dedekind cuts, Metric Spaces, Compact Sets, Perfect Sets, Cauchy Criterion, Natural Log Base 'e', Legesque Theory, Riemann-Sieltjes Integral, Stone-Weierstrass thm, a couple of mean value thms, and L'Hopital's Rule, and Taylor's Thm, Curves and Length of a Curve, lub= least upper bound, glb= greatest lower bound

more of Rudin's refs.

Burkill, J. C. "The Lebesque Integral, 1951

Kestelman, H. "Modern Theories of Integration" 1937

Knoppm, K. "Theory and Application of INfinite Series 1928

SJG

Vanilla Fudge - Keep Me Hanging On - Chicago School of Rock Show Team (this girl's voice is what really makes this go) youtube.com

Landau, E. G. H. "Foundations of Analysis" 1951 0

Foundations of analysis : the arithmetic of whole, rational, irrational, and complex numbers: a supplement to textbooks on the differential and integral calculus / by Edmund Landau ; translated by F. Steinhardt Landau, Edmund, 1877-1938. *

SJG

What do you get when you cross a mosquito with a mountain climber?

Nothing. You can't cross a vector and a scalar.

Cross product of two vectors is a vector.

You can multiply a vector by a scalar.

Real good!

amazon.com

Foundations of analysis; the arithmetic of whole, rational, irrational, and complex numbers. A supplement to textbooks on the differential and integral calculus / Translated by F. Steinhardt Landau, Edmund, 1877-1938. (1960 but I think from originally a 1951 text) only 136 pages

SJG

Foundations of analysis; the arithmetic of whole, rational, irrational, and complex numbers. A supplement to textbooks on the differential and integral calculus / Translated by F. Steinhardt Landau, Edmund, 1877-1938. (1960 but I think from originally a 1951 text) only 136 pages

his preface he dates 1929.

Book never talks about Calculus.

Lists lots of stuff from this publisher:

Chelsea Scientific Books

still around?

I think no.

Books by

S. Banach, George Boole, F. R. Gantmacher and David Hilbert and other books by E. Landau

SJG

Foundations of analysis; the arithmetic of whole, rational, irrational, and complex numbers. A supplement to textbooks on the differential and integral calculus / Translated by F. Steinhardt Landau, Edmund, 1877-1938. (1960 but I think from originally a 1951 text) only 136 pages

Deals mostly with four function math, and a lot of stuff I would consider to be number theory. Makes me thing some.

He talks about Cuts and Dedekind's Theorem

A form of the continuity axiom for the real number system in terms of Dedekind cuts. It states that for any cut A|B of the set of real numbers there exists a real number α which is either the largest in the class A or the smallest in the class B.

encyclopediaofmath.org.

Richard Dedekind, "Essays on the Theory of Numbers" (tr. W.W.Beman) Dover (1963) [1901]

Anyway, Landau also talks about irrational and complex numbers.

Hildebrand - Introduction to Numerical Analysis

Introduction to numerical analysis / [by] F. B. Hildebrand Hildebrand, Francis Begnaud (1973, seems to be originally 1956) a very old book for the subject, lets see what they thought.

en.wikipedia.org Francis Begnaud Hildebrand (1915 – 29 November 2002) was an American mathematician. He was a Professor of mathematics at the Massachusetts Institute of Technology (MIT) from 1940 until 1984. Hildebrand was known for his many influential textbooks in mathematics and numerical analysis.

mathgenealogy.org

David Hildebrand thriftbooks.com

David Hilbert a totally unrelated person en.wikipedia.org

SJG

Jefferson Starship - Jane - 2018 School of Rock AllStars Team 6 (really good!) youtube.com

Holy Diver youtube.com

Top Ranked Mathematics PhD programs

MIT Princeton Harvard Stanford Berkeley U of Chicago Cal Tech Columbia NYU UCLA U Michigan

Interesting list. Only non coastal school on Top 10 is Chicago

Michigan missed top 10 but pretty good for state school

Source US NEWS

Interesting, some of those schools I would have known to expect, but not necessarily

U of Chicago Columbia NYU UCLA U Michigan

In this Internet era I think we all can learn much more than would have been likely in past times. So in in depth knowledge of mathematics is within reach for those who want it. And then with computers we can bring much more math into applications then we otherwise could have.

SJG

PBS News Weekend live episode, July 2, 2022, Abortion and Guns youtube.com

Hildebrand - Introduction to Numerical Analysis

Introduction to numerical analysis / [by] F. B. Hildebrand Hildebrand, Francis Begnaud (1974, seems to be originally 1956) a very old book for the subject, lets see what they thought.

An old book, for the subject, but this is part of why I want to read it.

In his bibliography he lists some from R. W. Hamming

This is published as part of the McGraw Hill International Series in Pure and Applied Mathematics.

Some from the list:

Ahlfors: Complex Analysis Buck: Advanced Calculus Chester: Techniques in Partial Differential Equations Cohn: Conformal Mapping on Riemann Surfaces Dennemeyer: Introduction to Partial Differential Equations and Boundary Value Problems Dettman: Mathematical Methods in Physics and Engineering Golomb and Shanks: Elements of Ordinary Differential Equations Hamming: Numerical Methods for Scientists and Engineers Householder: The Numerical Treatment of a Single Nonlinear Equation Kalman, Falb, and Arbib: Topics in Mathematical Systems Theory Lass: Vector and Tensor Analysis Lepage: Complex Variables and the Laplace Transform for Engineers Monk: Introduction to Set Theory Moore: Elements of Linear Algebra and Matrix Theory

TBC

SJG

Mathematics? $500 + stripper = OTC

more from publishers series list

Busacker and Saaty: Finite Graphs and Networks Cheney: Introduction to Approximation Theory Coddington and Levinson: Theory of Ordinary Differential Equations Conte and de Boor: Elementary Numerical Analysis: An Algorithmic Approach Epstein: Partial Differential Equations Greenspan: Introduction to Partial Differential Equations McCarty: Topology: An Introduction with Applications to Topological Groups Mostow and Sampson: Linear Algebra Moursund and Duris: Elementary Theory and Application of Numerical Analysis Pearl: Matrix Theory and Finite Mathematics Pipes and Harvill: Applied Mathematics for Engineers and Physicists Ralston: A First Course in Numerical Analysis Ritger and Rose: Differential Equations with Applications Ritt: Fourier Series Rossier: Logic for Mathematicians Rudin: Principles of Mathematical Analysis Simmons: Differential Equations with Applications and Historical Notes Simmons: Introduction to Topology and Modern Analysis Sneddon: Elements of Partial Differential Equations Sturble: Nonlinear Differential Equations Weinstock: Calculus of Variations

SJG

Hildebrand - Introduction to Numerical Analysis

Introduction to numerical analysis / [by] F. B. Hildebrand Hildebrand, Francis Begnaud (1974, seems to be originally 1956) a very old book for the subject, lets see what they thought.

So in 1974 access to computers was still limited, and programmable calculators were still pretty new.

And then back in 1956, not sure what people had, and it would only have been a few people, like large institutions and Military - NASA.

The book does talk about the use of slide rules.

So book talks about numerical solution to equations. Multiple equations and unknowns.

Talks about a coefficient matrix, and having a column matrix, and putting them together to make a rectangular augmented matrix.

They talk about using Cramer's Rule and Determinants. BUt then they explain that this is very slow. And I can attest to this.

And then they talk about Gaussian Elimination.

This is Gauss Reduction.

Then there is another wrinkle added for Gauss-Jordan Reduction, but this goes a little bit slower.

You do need to have some stuff in there to minimize the loss of accuracy when you have a broad spread of number absolute values in the coefficient matrix.

And then you have to be on watch for singular matrix, or rank being lower than the dimension. And it is not just a literal determinant of zero. You need to watch for overflow and underflow of your floating point scheme, and really you want to interdict things which compromise your accuracy.

He talks about Crout Reduction. And he has an appendix to develop it.

Came in 1941 , P. D. Crout in Trans AIEE.

Talks about Tridiagonal Sets of Equations.

en.wikipedia.org

Also this book has nothing in it like computer code.

SJG

"Long Way To The Top" - School of Rock Reunion Concert LIVE youtube.com

School of Rock 10 year reunion youtube.com

School of Rock Musical - Teachers Pet Combination youtube.com

Keep Me Hanging On youtube.com

Jefferson Starship - Jane - 2018 School of Rock AllStars Team 6, awesom lead singer youtube.com

Strange Kind of Women - Perfect Strangers - live at La Grande Ourse Concert Hall youtube.com

VANILLA FUDGE_You Keep Me Hanging On_BB Kings_6-22-13 youtube.com

Chambers Brothers - Time Has Come Today - Cleveland School of Rock youtube.com

Linda Ronstadt - You're No Good - 2016 School of Rock AllStars Team 6 youtube.com

School of Rock Reunion Concert - Jack Black - BEST QUALITY youtube.com

Electric Light Orchestra - Telephone Line - Chicago School of Rock youtube.com

Fleetwood Mac - Go Your Own Way - Team 1 2014 School of Rock AllStars youtube.com

Janis Joplin - Down On Me - School of Rock All-Stars Team 2 youtube.com

Aquarius - Hair - Team 5 2019 School of Rock AllStars youtube.com

Joe Cocker - With a Little Help From My Friends - Team 4 2019 School of Rock AllStars youtube.com

Dio - Holy Diver - 2015 School of Rock AllStars Team 4 - Wicker Park Fest youtube.com

The Flamin' Groovies - Shake Some Action - Cleveland School of Rock youtube.com

Hildebrand - Introduction to Numerical Analysis

Introduction to numerical analysis / [by] F. B. Hildebrand Hildebrand, Francis Begnaud (1974, seems to be originally 1956) a very old book for the subject, lets see what they thought.

So it talks a lot about inherent errors and round off errors, as it has to.

References W. E. Milne Numerical Calculus (1949) Numerical calculus : approximations, interpolation, finite differences, numerical integration and curve fitting **

Talks about iterative methods and relaxation and iterative methods for nonlinear equations

Newton-Raphson Method

Higher order nonlinear, sets of nonlinear, and the Jacobian Determinant.

SJG

Nora Jones, Something youtube.com

Talks about synthetic division of polynomials and Homer's Method.

As I know you always want the roots, or at least for partial fraction expansion, and it talks about how to get these and to allow for quadratics. AIK you always want to deal with the complex roots in conjugate pairs to maintain accuracy.

Talks about some Bernoulli's Iteration, Graeffe's Root Squaring Technique, Quadratic Factors and Lin's Method, Bairstow Iteration

ref:

Wilkinson, J. H. 1Book CoverRounding errors in algebraic processes Wilkinson, J. H. (James Hardy) Englewood Cliffs, N.J. : Prentice-Hall, [1964, c1963] vi, 161 pages ; *

and many other books and papers

SJG

Eric Clapton - Beware of Darkness at the Concert For George youtube.com

Also appendix C is a directory of all the numerical methods it deals with.

SJG

Hildebrand - Introduction to Numerical Analysis

Introduction to numerical analysis / [by] F. B. Hildebrand Hildebrand, Francis Begnaud (1974, seems to be originally 1956) a very old book for the subject, lets see what they thought.

So we've got a lot of stuff in the above. Talks about:

Linear Interpolation, Divided Differences, Second-degree Interpolation, Newton's Fundamental Formula, and lots of other things about interpolation.

Lagrangian Methods

I think the terminology has changed some:

en.wikipedia.org

Here: en.wikipedia.org

^ and also Newton-Cotes Integration

Richardson Extrapolation, Romberg Integration

SJG

Jefferson Starship - Jane - 2018 School of Rock AllStars Team 6 youtube.com

so we have Guass's formula and Stirling's formula and Bessel's for interpolation.

And we have Runge-Kutta Methods of Higher Order

A a whole lot of stuff about Least Squares Polynomial Approximation

SJG

Jefferson Starship - Jane - 2018 School of Rock AllStars Team 6 youtube.com

The history of the calculus and its conceptual development : (The concepts of the calculus) / with a foreword by Richard Courant Concepts of the calculus. Boyer, Carl B. (Carl Benjamin), 1906-1976. Books & Journals | Dover | [1959]

Very widely disseminated

1959 Dover reprint, and these are always good.

SJG

Jefferson Starship - Jane - 2018 School of Rock AllStars Team 6 youtube.com

^

Originally a 1949 manuscript, but preface says 1939, so that is probably when the text was written. And mostly text, like a novel. Not formulas or graphs, mostly.

Talks about Newton and Leibniz, and whole lot of other historical stuff.

SJG

tuscl.net

Jan 6th youtube.com

The history of the calculus and its conceptual development : (The concepts of the calculus) / with a foreword by Richard Courant Concepts of the calculus. Boyer, Carl B. (Carl Benjamin), 1906-1976. Books & Journals | Dover | [1959]

So the newest references I see in this are 1936. There are lots from the decades before that, then a lot from the 1800's, and some going back even furhter.

Mostly they start off talking about infintesimal things, delta(s)/delta(t).

I guess math was not really developed to talk about stuff like that thousands of years ago.

And as I know, in modern calculus texts they talk about this kind of stuff as limits, and they have people work all sorts of problems dealing with limits, and when functions go non-existent or indeterminant because of dividing by zero.

And then it says, "The Pre-Hellenic peoples are usually regarded as pre-scientific in their attitude toward nature, inasmuch as they palpably lack the Greek confidence in its essential reasonableness, as well as the associated feeling that beneath the perplexing heterogeneity and ceaseless flux of events would be found elements of uniformity and permanence."

They say that Babalonians and Egyptians were not looking for these eternal universals in the same way as the Greeks. And so it is with the Greeks that you find the earliest idea of calculus.

So they say the Egyptian mathematical high point was the volume of the frustum of a square pyramid.

?? Does this mean volume of a pyramid? AIK it is 1/3 the area of the base times the height.

Frustum means truncated.

study.com.

okay.

But Boyer is saying this uses something like calculus??

I kinda think it just comes down to Thm of Pythagoras, like are of a triangle.

volume en.wikipedia.org

Talk about Proclus and Pythagoras

SJG

I think living in this world of hand held calculators and computers, we forget that decimal math was not always the way. Math started out as integer and then I guess it went to fractions.

But I remember when I decided that it was a bummer to have to use English rulers which read out in fractions. I had one 50ths of an inch ruler, and that was nice. But best is metric.

Anyway, Carl B. Boyer says that Ancient Egyptians really only thought integers. With fractions they did not see them as single numbers.

Now there was one exception 2/3. For some reason they saw that as a single number.

With 3/5 they saw that as the sum of 1/2 and 1/10.

Today we have calculators with so many digits that there is no reason to distinguish between terminating and repeating decimals, and no reason to keep special track of the later. We don't need exact answers. And then we have buttons for all manner of transindental funcion.

transcendental functions.

And then on the back cover of the book they list some of the greatest mathematicians, Newton, Leibnitz, Taylor, Descartes, Euler, Lagrange, Cantor, Weierstrass, Zeno, Pythagoras, and Euclid.

Of books listed by the publisher, Dover, this is a 1959 edition. But lets post a few of them. I like to read old books in this kind of an area to see how people used to think, as that helps me to better understand where we are at today.

Mathematical Methods for Scientists and Engineers, L. P. Smith, 435 pages Mathematical methods for scientists and engineers / Preston Lloyd Smith. (1961 and lots of other books with similar titles) *

I take note of this:

Mathematical methods for scientists and engineers : linear and nonlinear systems / Peter B. Kahn Imprint New York : Wiley, [1990, 469 pages] **

Algebras and Their Arithmetics, Leonard E. Dickson 241 pages Algebras and their arithmetics / by Leonard Eugene Dickson. (1938, originally 1923) *

Advanced Calculus, Edwin B. Wilson, 556 pages Advanced calculus; a text upon select parts of differential calculus, differential equations, integral calculus, theory of functions, with numerous exercises.(1958, originally 1912) *

A Treatise on Advanced Calculus, Philip Franklin, 595pp A treatise on advanced calculus : including those parts of the theory of functions of real and complex variables which form the logical basis of the infinitesimal analysis and its applications to geometry and physics / by Philip Franklin. (1964, originally 1940, 595pp) **

SJG

The Pretenders - Hard Rock - 1998 ( quite good and they added a keyboardist) youtube.com

The history of the calculus and its conceptual development : (The concepts of the calculus) / with a foreword by Richard Courant Concepts of the calculus. Boyer, Carl B. (Carl Benjamin), 1906-1976. Books & Journals | Dover | [1959]

So he talks about the paradoxes of Zeno. Like say in a time interval, you move half of the distance between yourself and a fixed point. And then in the next interval, half of what remained, etc.

When do you finally get to the point?

This had come up in a conversation with someone who was ticketed for not coming to a complete stop at a stop sign. How slow is slow enough to be stopped?

But Boyer speaks of another Zeno formulation. Say Achilles runs a race with a tortoise and Achilles runs twice as fast as the tortoise, and so we give the tortoise a lead.

So when does Achilles catch up with the tortoise?

Well for the ancients they were not really accustomed to finding limits for infinite series. It gets too confusing.

For me, I would set it up as an algebra problem

Say Achilles runs at velocity Va.

The lead given the tortoise is Lt.

So the time when Achilles catches up with the tortoise will be Tc. And the distance Achilles has run will be Da.

Da = Tc * Va

Da = Lt + Tc * Va /2

So then we can eliminate Da:

Tc * Va = Lt + Tc * Va /2

So then:

Tc * Va - Tc * Va/2 = Lt

Tc * (Va -Va/2) =

Tc * Va/2 = Lt

So say the velocity of Achilles is 10 ft/sec, then the velocity of the Tortoise is 5 ft /sec.

So say the lead we gave the Tortoise was 100 ft.

So Tc = 2 * Lt / Va

So Tc = 2 * 100 / 10 = 20 seconds.

So Achilles will have run 200 ft The Tortoise will have run 100 ft and then be 200 feet from the starting line.

Now this kind of approach does not get into convergence of infinite series or into calculus. It just uses algebra. But I guess it is a way of using algebra that has developed in a world where our understanding of time and motion has been shaped by calculus. And I have learned from years in school, having to do homework problems with word problems like this, and also by regularly solving similar kinds of problems on my own. You cut through the confusion by defining variables and laying out the relations.

Now Calculus is about infinitesimals. And I guess this is what has changed in thinking. And people learn math in school and from books today, and it is set up to facilitate Calculus.

So I would introduce here, Meditaitons and the Tarot and its Unknown Author, who says that Calculus with its concepts and notation, is a part of Hermeticism.

amazon.com

I've always felt this about Calculus. But now reading this Carl Boyer and seeing how it developed, now I can much better appreciate that.

Newton and Leibniz certainly held occult views, they just wrote about them other places. And Boyer shows that originally Calculus was not well received and it took the work of a lot of other people going into the 18th century to more rigorously develop it.

And then one name that comes up is Hoene Wroński going into the 19th century. He was a Polish mathematician in exile in Paris. And it was he who is believed to have initiated the occultist Eliphas Levi. And Wroński is the originator of the dark gnosis practiced by Fraternitas Saturni.

Wroński took some exception to the work of Lagrange.

en.wikipedia.org.

I read all of this and consider. I am not really one to challenge the theoretical basis of calculus.

Rather I am more interested in how to apply it. And how much math you can use in a situation now depends on how you are using computers to implement it. The application of computers make it possible to use vastly more math.

SJG

Pretenders, My City Was Gone youtube.com

Jane, School of Rock youtube.com

Advanced calculus; a text upon select parts of differential calculus, differential equations, integral calculus, theory of functions, with numerous exercises. Dover 1958, but originally 1912. By far the oldest math book I have ever looked at.

Always what is interesting is what does the author feel they need to carefully explain, versus what do they feel is already fully understood. And then what might be dropped out of newer books.

SJG

Advanced calculus; a text upon select parts of differential calculus, differential equations, integral calculus, theory of functions, with numerous exercises. Dover 1958, but originally 1912 and 1911 by Edwin Bidwell Wilson MIT

This is surprisingly to me like modern calculus text books. Now this is the advanced course, so some understanding presumed.

Of what jumps out at me, it talks about integration by parts and integrating factors, but it does not really explain them. And they don't explain it in the context of doing integrals, they explain it in the context of solving differential equations.

Got everything about Taylor Series and Maclaurin Series. Overall I would say the new books are better.

Lots about complex numbers and vectors. New books better.

Lots about multiple variables and partial derivatives.

Calculus of Variations

The modern books are more wordy, and there are more of them. But I think they are better and more worth putting time into.

SJG

Los Angeles, quite good! youtube.com

PBS Newshour youtube.com

Introduction to dynamical systems / Michael Brin, Garrett Stuck (2002)

SJG

^ THis stuff looks simple, but it isn't. This is way over my head. To really understand all the authors are saying I will be reading and working through about 20 more books.

Both authors at University of Maryland

Dynamics Group at the University of Maryland

Brin is an editor of Forum Mathematicum

Garrett Stuck was professor mathematics at University of Maryland. Wrote "The Mathematica Primer (1998)

He is also founder of Chalkfree Inc, a software company.

I see one thing which I do understand. These dynamic systems are deterninistic.

Often there is confusion coming from the popularity of chaos theory, thinking that chaotic behavior comes from noise, round off error, or from the Heisenberg Uncertainty Principle.

It does not, it is simply the product of multiple non-linearities interacting.

And then when it comes to observing real systems, the issue is that you never do have an accurate enough mathematical model, and because you can never know the starting conditions to enough accuracy.

I have much to learn here I can see.

SJG

Vanilla Fudge - School of Rock youtube.com

Complexity, A Very Short Introduction, by John H. Holland Oxford University Press (2014)

This is special series of very small fine print books they have.

Holland's Refs:

Herbert A. Simon, The Sciences of the Artificial. MIT Press 1981

Arthur W. Burks, Essays in Cellular Automata. University of Illinois Press (1970)

Mitchell M. Waldrop, Complexity, (1972)

Melanie Mitchell. Complexity: A Guided Tour (2009)

Donald O. Hebb. The Organization of Behavior (1949)

Simon A. Levin, Fragile Dominion (199)

William Feller, Probability Theory and its Applications (1950)

Paul A. Samuelson, Economics 1948

SJG

Free - Wishing Well w/ British Leyland 3 axle dump truck youtube.com

Holland:

Complex Systems

• Self-organization

• Chaotic Behavior

• fat-tailed behaviour, rare events (mass extinctions, market crashes) occur more often than would be predicted by a normal bell-curve distribution.

• adaptive interaction

TWO KINDS OF COMPLEXITY

Complex Physical Systems (CPS)

Complex Adaptive Systems (CAS)

CAS deals with entities which are not fixed, usually called agents.

Navier Stokes Equations,

en.wikipedia.org

Partial Differential Equations, extending from Maxwell's Equations for Electromagnetism, but for fluid flow.

Complex Physical Systems are almost always modelled by PDEs ( Partial Differential Equations )

SJG

Complex Physical Systems, CPS. Modelled by Partial Differential Equations.

Complex Adaptive System, CAS, more just in the computer, not really working by a summation rule and much more changeability in the Agents.

Network Theory, more forlmally known as graph theory. Denes Koing, early 20th centruy.

Then Duncan Watts and Mark Newman, and now Mitchell's "Complexity".

Then talking about fractals, scale-free networks.

Going to talk about Dynamics.

SJG

Gimme Shelter, Portland School of Rock youtube.com

^ Dynamics, Physicist's concept of state.

But now we talk about bar magnets lining up in alternating orientations. And then of Ising's model.

star-www.dur.ac.uk

physics.stackexchange.com

farside.ph.utexas.edu

phys.libretexts.org

SJG

School of Rock youtube.com

So going to Complex Adaptive System, CAS, more just in the computer, not really working by a summation rule and much more changeability in the Agents.

1. Performance
2. Credit Assignment
3. Rule Disco

SJG

music which is more edgy youtube.com

Complexity, A Very Short Introduction, by John H. Holland Oxford University Press (2014)

CAS is all about Markov Chains, Markov Processes, Markov Matrices.

brilliant.org.

Lotka-Volterra equations, about Lynx Hare problems.

Gated Urn problems are like Markov Matrices.

Adaptation in natural and artificial systems : an introductory analysis with applications to biology, control, and artificial intelligence / by John H. Holland (1975) *

I've read most of John H. Holland, and I have to say that most of the applications are hard for me to envision. But not read^

SJG

Mathematics A Very Short Introduction Timothy Gowers csul.iii.com, *!

Free - Wishing Well youtube.com

Adaptation in natural and artificial systems : an introductory analysis with applications to biology, control, and artificial intelligence / by John H. Holland (1975)

references: R. Bellman 1961, Adaptive Control Processes

Bellman, Richard, 1920-1984 Title Adaptive control processes : a guided tour Imprint Princeton, N. J. : Princeton University Press, 1961 *

^ a very early book bridging from controls, to adaptive controls, to complexity and self-organization.

and in Holland's previous book everything runs on Markov Chains:

Adaptive Markov control processes / O. Hernández-Lerma Imprint New York : Springer-Verlag, [1989] *

SJG

Emily Williams-I Say a Little Prayer For You youtube.com

21st Century Schizoid Man, School of Rock youtube.com

Bellman, Richard, 1920-1984 Title Adaptive control processes : a guided tour Imprint Princeton, N. J. : Princeton University Press, 1961

^ a very early book bridging from controls, to adaptive controls, to complexity and self-organization. So old that what this must mean is a lot different from what it would mean today.

Dedicated to A. Lyapunov, H. Poincare, and S. Lefschetz

And Bellman was with Rand Corporation

talks about Norbert Wiener and "cybernetics".

SJG

Perfect Strangers (Deep Purple cover) youtube.com

School of Rock AllStars perform "Highway Star" by Deep Purple youtube.com

Richard Bellman was with The Rand Corporation.

Richard E. Bellman, an Applied Mathematician en.wikipedia.org

Worked with Stuart Dreyfus. I am very familiar with Stuart and his bother Hubert.

Applied dynamic programming / by Richard E. Bellman and Stuart E. Dreyfus. (1962) **

Credits Robert E. Kalaba Robert E. Kalaba, an applied mathematician associated with USC for almost half a century and internationally renowned for his analytical and computational solutions to problems in physics, engineering, operations analysis and biology, died Sept. 29, following a brief illness. He was 78. news.usc.edu

Numerical inversion of the Laplace transform: applications to biology, economics, engineering, and physics / by Richard Bellman, Robert E. Kalaba, and Jo Ann Lockett. (1966) *

Analytical dynamics : a new approach / Firdaus E. Udwadia and Robert E. Kalaba (1996) *

SJG

etsy.com

Richard E. Bellman, an Applied Mathematician 1920 -1984 en.wikipedia.org

studied mathematics at Brooklyn College where he earned a BA in 1941 He later earned an MA from the University of Wisconsin. During World War II he worked for a Theoretical Physics Division group in Los Alamos. In 1946 he received his Ph.D at Princeton under the supervision of Solomon Lefschetz.[8] Beginning 1949 Bellman worked for many years at RAND corporation and it was during this time that he developed dynamic programming.

p27, talks about how difficult 2 point boundary problem cases are.

Talks about Euler Equation and those of Sturm-Liouville type, and Terminal Control and Implicit Variational Problems.

Talks about bang-bang control, things which shift from one binary state to another.

pg34 Talks about Linearity and how some problems are make intractable because of complete linearity.

Norbert Wiener, Cybernetics 1948

S. Lefschetz

SJG

Bellman, Richard, 1920-1984 Title Adaptive control processes : a guided tour Imprint Princeton, N. J. : Princeton University Press, 1961

Many references to L. A. Zadeh, known for Fuzzy Sets and Fuzzy Logic. But this book was before much of that was known.

en.wikipedia.org

R. Bellman, Matrix Analysis 1960.

References R. Kalman, D. Hilbert

G. A. Bliss, Calculus of Variations, 1925

en.wikipedia.org In mathematical optimization, the method of Lagrange multipliers is a strategy for finding the local maxima and minima of a function subject to equality constraints (i.e., subject to the condition that one or more equations have to be satisfied exactly by the chosen values of the variables).[1] It is named after the mathematician Joseph-Louis Lagrange.

Overall I would say that this book treats too much to be useful. There is a well developed theory today for deterministic and stochastic controls, and a lot of work done on adaptive controls.

But this all came about after this book.

This author is also treating control of stuff which is not continuous at all, the stuff of game theory. Much less theory for that, and this book is real abstract.

Oh well, I wanted to see something very early.

SJG

University Calculus: Early Transcendentals, Multivariable (2nd Edition) by Joel R. Hass (Author), Maurice D. Weir (Author), George B. Thomas Jr. (Author)

Thomas' calculus : early transcendentals / based on the original work by George B. Thomas, Jr. ; as revised by Joel Hass, Christopher Heil, Maurice D. Weir (Pearson 2018)

a fairly new calculus book, and clearly quite good. 0?

amazon.com

And then going real far back:

Applied dynamic programming / by Richard E. Bellman and Stuart E. Dreyfus. (1962)

SJG

Very Good, Music Getting More Eclectic

Applied dynamic programming / by Richard E. Bellman and Stuart E. Dreyfus. (1962)

All of these people have since passed away now. Stuart Dreyfus taught Industrial Engineering at UC Berkeley, while his brother Hubert, an expert on Martin Heidegger taught philosophy. They were always antagonists to the MIT Artificial Intelligence Lab, starting with when it was run by Marvin Minsky, someone who in my opinion was an idiot.

amazon.com

SJG

School of Rock youtube.com

Introduction:

"In the period following World War II, it began to be recognized that there were a large number of interesting and significant activities which could be classified as multistage decision processes. It was soon seen that the mathematical problems that arose in their study stretched the conventional confines of analysis, and required new methods for their successful treatment. The classical techniques of calculus and the calculus of variations were occasionally valuable and useful in these areas, but were clearly limited in range and versatility, and were definitely lacking as far as furnishing numerical answers was concerned."

So the previous book dealth with the same stuff, but only on the very surface. Control theory is entirely based on calculus. They problems which can't be worked that way get into mathematical heuristics, "artificial intelligence", or this new Dynamic Programming.

A book which starts with a commonality to this will be very good.

SJG

Applied dynamic programming / by Richard E. Bellman and Stuart E. Dreyfus. (1962)

Modern Controls Theory was developing at this time, and they do make reference to Rudolph Kalman, a NASA big wig.

But controls theory requires things which are continuous, or at least continuous in their digital representation. Most problems in scheduling, cargo loading, or resource allocation are completely discontinuous, so that their can you fall back on.

Both kinds of problems should connect, and this book is based on the premise that they do.

Dynamic Programming is mainly an optimization over plain recursion. Wherever we see a recursive solution that has repeated calls for same inputs, we can optimize it using Dynamic Programming. The idea is to simply store the results of subproblems, so that we do not have to re-compute them when needed later. This simple optimization reduces time complexities from exponential to polynomial.

For example, if we write simple recursive solution for Fibonacci Numbers, we get exponential time complexity and if we optimize it by storing solutions of subproblems, time complexity reduces to linear. geeksforgeeks.org

Dynamic programming is both a mathematical optimization method and a computer programming method. The method was developed by Richard Bellman in the 1950s and has found applications in numerous fields, from aerospace engineering to economics.

In both contexts it refers to simplifying a complicated problem by breaking it down into simpler sub-problems in a recursive manner. While some decision problems cannot be taken apart this way, decisions that span several points in time do often break apart recursively. Likewise, in computer science, if a problem can be solved optimally by breaking it into sub-problems and then recursively finding the optimal solutions to the sub-problems, then it is said to have optimal substructure.

If sub-problems can be nested recursively inside larger problems, so that dynamic programming methods are applicable, then there is a relation between the value of the larger problem and the values of the sub-problems.[1] In the optimization literature this relationship is called the Bellman equation. en.wikipedia.org

Heinz Pagels: The cosmic code : quantum physics as the language of nature / Heinz R. Pagels. (1982)

SJG

The Rock Orchestra performs Genesis - The Lamb Lies Down on Broadway youtube.com