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Global Analysis in Mathematical Physics

Global Analysis in Mathematical Physics PDF Author: I︠U︡. E. Gliklikh
Publisher: Springer Science & Business Media
ISBN: 9780387948676
Category : Mathematics
Languages : en
Pages : 240

Book Description
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.
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