Description
Book Synopsisp-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.
Table of ContentsP-adic numbers; p-adic analysis; non-Archimedean geometry; distribution theory; pseudo differential operators and spectral theory; p-adic quantum mechanics and representation theory; quantum field theory; p-adic strings.
