P-adic Analysis and Mathematical Physics

P-adic Analysis and Mathematical Physics
Author: Vasili? Sergeevich Vladimirov
Publisher: World Scientific
Total Pages: 350
Release: 1994
Genre: Science
ISBN: 9789810208806


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p-adic numbers play a very important role in modern number theory, algebraic geometry and representation theory. Lately p-adic numbers have attracted a great deal of attention in modern theoretical physics as a promising new approach for describing the non-Archimedean geometry of space-time at small distances.This is the first book to deal with applications of p-adic numbers in theoretical and mathematical physics. It gives an elementary and thoroughly written introduction to p-adic numbers and p-adic analysis with great numbers of examples as well as applications of p-adic numbers in classical mechanics, dynamical systems, quantum mechanics, statistical physics, quantum field theory and string theory.


P-adic Analysis and Mathematical Physics
Language: en
Pages: 350
Authors: Vasili? Sergeevich Vladimirov
Categories: Science
Type: BOOK - Published: 1994 - Publisher: World Scientific

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p-adic numbers play a very important role in modern number theory, algebraic geometry and representation theory. Lately p-adic numbers have attracted a great de
p-Adic Valued Distributions in Mathematical Physics
Language: en
Pages: 271
Authors: Andrei Y. Khrennikov
Categories: Science
Type: BOOK - Published: 2013-03-09 - Publisher: Springer Science & Business Media

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Numbers ... , natural, rational, real, complex, p-adic .... What do you know about p-adic numbers? Probably, you have never used any p-adic (nonrational) number
Harmonic, Wavelet and P-Adic Analysis
Language: en
Pages: 393
Authors: N. M. Chuong
Categories: Mathematics
Type: BOOK - Published: 2007 - Publisher: World Scientific

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The mutual influence between mathematics and science and technology is becoming more and more widespread with profound connections among them being discovered.
p-adic Numbers
Language: en
Pages: 285
Authors: Fernando Q. Gouvea
Categories: Mathematics
Type: BOOK - Published: 2013-06-29 - Publisher: Springer Science & Business Media

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p-adic numbers are of great theoretical importance in number theory, since they allow the use of the language of analysis to study problems relating toprime num
From Number Theory to Physics
Language: en
Pages: 702
Authors: Michel Waldschmidt
Categories: Science
Type: BOOK - Published: 2013-03-09 - Publisher: Springer Science & Business Media

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The present book contains fourteen expository contributions on various topics connected to Number Theory, or Arithmetics, and its relationships to Theoreti cal