Author : I︠U︡. E. Gliklikh
Release : 1997
Genre : Mathematics
Kind : eBook
Book Rating : 676/5 ( reviews)
Book Synopsis Global Analysis in Mathematical Physics by : I︠U︡. E. Gliklikh
Download or read book Global Analysis in Mathematical Physics written by I︠U︡. E. Gliklikh. This book was released on 1997. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first in monographic literature giving a common treatment to three areas of applications of Global Analysis in Mathematical Physics previously considered quite distant from each other, namely, differential geometry applied to classical mechanics, stochastic differential geometry used in quantum and statistical mechanics, and infinite-dimensional differential geometry fundamental for hydrodynamics. The unification of these topics is made possible by considering the Newton equation or its natural generalizations and analogues as a fundamental equation of motion. New general geometric and stochastic methods of investigation are developed, and new results on existence, uniqueness, and qualitative behavior of solutions are obtained.