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Global and Stochastic Analysis with Applications to Mathematical
Physics
Gliklikh, Yuri E
London: Springer Nature 2010
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Título:
Global and Stochastic Analysis with Applications to Mathematical
Physics
Autor:
Gliklikh, Yuri E
Assuntos:
Global analysis (Mathematics)
;
Global Analysis and Analysis on Manifolds
;
Manifolds (Mathematics)
;
Mathematical Methods in
Physics
;
Mathematical
physics
;
Mathematics
;
Mathematics. Analysis
;
Physics
and Astronomy
;
Probability Theory and Stochastic Processes
;
Stochastic processes
Descrição:
Methods of global analysis and stochastic analysis are most often applied in mathematical
physics
as separate entities, thus forming important directions in the field. However, while combination of the two subject areas is rare, it is fundamental for the consideration of a broader class of problems This book develops methods of Global Analysis and Stochastic Analysis such that their combination allows one to have a more or less common treatment for areas of mathematical
physics
that traditionally are considered as divergent and requiring different methods of investigation Global and Stochastic Analysis with Applications to Mathematical
Physics
covers branches of mathematics that are currently absent in monograph form. Through the demonstration of new topics of investigation and results, both in traditional and more recent problems, this book offers a fresh perspective on ordinary and stochastic differential equations and inclusions (in particular, given in terms of Nelson's mean derivatives) on linear spaces and manifolds. Topics covered include classical mechanics on non-linear configuration spaces, problems of statistical and quantum physics, and hydrodynamics A self-contained book that provides a large amount of preliminary material and recent results which will serve to be a useful introduction to the subject and a valuable resource for further research. It will appeal to researchers, graduate and PhD students working in global analysis, stochastic analysis and mathematical physics
Títulos relacionados:
Theoretical and Mathematical
Physics
Editor:
London: Springer Nature
Data de criação/publicação:
2010
Formato:
453
Idioma:
Inglês;Alemão
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