Friday 16 March 2012

Dirac story

"[Pierre] Ramond had met Dirac twice before, but had not been able to draw him into anything resembling a normal conversation. 'I had heard that the only way to persuade Dirac to talk was to ask him a non-trivial question that required a direct answer,' Ramond recalls. So he asked Dirac directly whether it would be a good idea to explore high-dimensional field theories, like the ones he had presented in his lecture.

Ramond braced himself for a long pause, but Dirac shot back with an emphatic 'No!' and stared anxiously into the distance. Neither man moved, neither sought eye contact; they both froze in a silent stand-off. It lasted several minutes. Dirac broke it when he volunteered a concession: 'It might be useful to study higher dimensions if we're led to them by beautiful mathematics.' Encouraged, Ramond saw an opportunity: doing his best to sound understanding, he invited Dirac to give a talk on his ideas at Gainesville any time he liked, adding that he would be glad •to drive him there and back. Dirac responded instantly: 'No! I have nothing to talk about. My life has been a failure!'

Ramond would have been less stunned if Dirac had smashed him over the head with a baseball bat. Dirac explained himself without emotion: quantum mechanics, once so promising to him, had ended up unable even to give a proper account of something as simple as an electron interacting with a photon - the calculations ended up with meaningless results, full of infinities. Apparently on autopilot, he continued with the same polemic against renormalisation he had been delivering for some forty years. Ramond was too shocked to listen with any concentration. He waited until Dirac had finished and gone quiet before pointing out that there already existed crude versions of theories that appeared to be free of infinities. But Dirac was not interested: disillusion had crushed his pride and spirit.

Dirac said goodbye and walked off, looking impassive, but Ramond was shattered. He took the elevator to the ground floor and walked alone in the fading light of the afternoon back to his car. Twenty-five years later, he could still recall how upset he was: 'I could hardly believe that such a great man could look back on his life as a failure. What did that say about the rest of us?'"

"The Strangest Man - The Hidden Life of Paul Dirac Quantum Genius"
by Graham Farmelo pages 408-409



Friday 25 February 2011

Monday 21 February 2011

Mathematics Textbooks Online

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مدیر علمی :حسن جولانی

مدیر تحقیقاتی :دکتر اکبر صدیقی

email: hassan.jolany@gmail.com

Textbooks in Mathematics
at geocities or ICTP

A list of links to useful mathematical textbooks available for free on the Internet.
They are all legal and maintained by their authors or by the legitimate publisher.

All the documents are in English. They are in a printable format - Postscript
or Adobe Portable Document Format. You are free to download, read and print them.
Here are some links to other sites offering lists of free mathematical textbooks.

For any comments, please, contact me: alex_stef@yahoo.com

This page is mirorred here: users.ictp.it/~stefanov/mylist.html . Change your bookmarks, as there no limitations on bandwidth apply. This mirror will be maitained till March, 2008.

Remark:printed version indicates a book for which there is also a printed version
[new]indicates documents which appear for first time in the current edition of this page.



New documents

· Discrete Time Finance by Christian Ewald [new]

· Mathematical Finance: Introduction to Continuous Time Financial Market Models by Christian Ewald [new]

· Games, Fixed Points and Mathematical Economics by Christian Ewald [new]

· Finite Difference and Spectral Methods for Ordinary and Partial Differential Equations by Lloyd N. Trefethen [new]

· The Boundary Element Method in Acoustics by Stephen Kirkup [new]

· Lectures on Algebra, Number theory, etc. by Sudhir R. Ghorpade [new]

· Mathematics under the Microscope by Alexandre Borovik [new]

· Algebra: Abstract and Concrete by Frederick M. Goodman [new]

General Mathematics

· elementary mathematics, Analysis, Lebesgue Integrals ..

· Mathematical Logic and Set theory

· Discrete Math


Number Theory

· Introductory Number Theory

· p-adic numbers

· Arithmetic Geometry

· Fermat's Last Theorem

· Algebraic Number Theory

· Analytic Number Theory


Algebra, Algebraic Geometry

· Algebra, Abstract

· Algebraic Geometry

· Elliptic Curves

· Category Theory

· Lie Algebras


Topology

· Algebraic Topology

· K-Theory

· Knots


Analysis

· Functional Analysis

· Differential Equations


Geometry

· Differential Geometry

Cartan's Corner Differential geometry & Topology


Mathematical Physics

· Dynamics

· Entropy

Ergodic Theory & Dyn. Sys. for errata and additions.

· Quantum Mechanics

· Quantum Field Theory

· Condensed Matter

· Special and General Relativity

· Physics

· Zeno meets modern science by Zurab K. Silagadze [new]

· Feynman's derivation of Maxwell equations and extra dimensions by Zurab K. Silagadze [new]

· TeV scale gravity, mirror universe, and ... dinosaurs by Zurab K. Silagadze [new]

· Quick introduction to tensor analysis by Ruslan Sharipov

· printed versionTraveling Wave Solutions of Parabolic Systems by Aizik I. Volpert, Vitaly A. Volpert, and Vladimir A. Volpert, AMS 1994, 455 pp.

· SunySB guide - A Collection of Lecture Notes in theoretical physics


Probability Theory

· printed versionIntroduction to Probability, by Charles Grinstead & J. Laurie Snell

· Probability.Net Tutorials by Noel Vaillant

· Probability Theory: The Logic of Science, by Edwin Thompson Jaynes

· Probability Theory As Extended Logic collection of articles and books by Larry Bretthorst

· Introduction to Probability, by Oliver Knill

· Probability Theory As Extended Logic Comprises many documents!

· Random Walks and Diffusion Lecture Notes by Martin Z. Bazant

· Reversible Markov Chains and Random Walks on Graphs by Aldous and Fill (monograph in preparation)

· An Invitation to Sample Paths of Brownian Motion

· Notes on probability theory by H. W. Lenstra

· An introduction to stochastic differential equations - Lawrence Craig Evans

· Stochastic Calculus Notes by Alan Bain

· Probability Theory by S.R.S.Varadhan

· Statistics by S.R.S.Varadhan

· Stochastic Processes by S.R.S.Varadhan

· Lectures on Stochastic Analysis by Thomas G.Kurtz

· Stochastic Integration and Stochastic Differential Equations by Klaus Bichteler

· Notes on Hilbert Spaces, Fourier Transform and Probability by Pierre Brémaud

· printed version Probability, Random Processes, and Ergodic Properties by R.M. Gray

· Markov Chains and Stochastic Stability by S.P. Meyn and R.L. Tweedie


Applied Mathematics

· Numerical Analysis

· Information Theory

· Financial mathematics

· Game Theory

· Derivations of Applied Mathematics by Thaddeus H. Black (GNU Free Documentation License)

· Linear Methods of Applied Mathematics, by Evans Harrell and James Herod.

· Linear Algebra, Infinite Dimensions, and Maple by James Herod

· printed versiongeneratingfunctionology by Herbert Wilf

· printed versionAlgorithms and Complexity by Herbert S. Wilf

· printed versionA=B by Marko Petkovsek, Herbert Wilf, and Doron Zeilberger

· Applied Math Textbook, by Sean Mauch beta version (unfinished)

· Mathematical Tools for Physics by James Nearing

· Applied Mathematics by Peter J. Olver and Chehrzad Shakiban

· Surveys in Combinatorics

· Complexity Theory by Oded Goldreich

· Papers on Combinatorial Enumeration and Asymptotics by Andrew Odlyzko

· Hyperplane Arrangements by Richard Stanley

· Cryptography


Miscellanea

· What is and what will be: Integrating spirituality and science
book on the foundations of mathematics by Paul P. Budnik

· Fractals

· Graph Theory

· Coxeter groups

· Nielsen Fixed Point Theory

· Permutation Puzzles


How to prepare documents? TEX,LATEX etc.

  • printed versionThe TeXbook by Donald Knuth is the most comrehensive book about TEX (tex source)
  • printed versionThe METAFONTbook is also downloadable (tex source)
    The last two books are copyrighted and you are not supposed to compile them. These files are, in fact, much more than sources of textbooks. They are invaluable examples of TeX input.

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