
- 340 pages
- English
- PDF
- Available on iOS & Android
P-adic Analysis And Mathematical Physics
About this book
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.
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Information
Table of contents
- CONTENTS
- INTRODUCTION
- Chapter 1 ANALYSIS ON THE FIELD OF p-ADIC NUMBERS
- Chapter 2 PSEUDO-DIFFERENTIAL OPERATORS ON THE FIELD OF p-ADIC NUMBERS
- Chapter 3 p-ADIC QUANTUM THEORIES
- Bibliography
- References
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