P-adic Analysis and Mathematical Physics
Author | : Vasili? Sergeevich Vladimirov |
Publisher | : World Scientific |
Total Pages | : 350 |
Release | : 1994 |
ISBN-10 | : 9810208804 |
ISBN-13 | : 9789810208806 |
Rating | : 4/5 (04 Downloads) |
Book excerpt: 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.