Cargando…

Global and Stochastic Analysis with Applications to Mathematical Physics

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...

Descripción completa

Detalles Bibliográficos
Autor principal: Gliklikh, Yuri E
Lenguaje:eng
Publicado: Springer 2011
Materias:
Acceso en línea:https://dx.doi.org/10.1007/978-0-85729-163-9
http://cds.cern.ch/record/1338840
_version_ 1780921935325036544
author Gliklikh, Yuri E
author_facet Gliklikh, Yuri E
author_sort Gliklikh, Yuri E
collection CERN
description 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
id cern-1338840
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2011
publisher Springer
record_format invenio
spelling cern-13388402021-04-22T01:03:50Zdoi:10.1007/978-0-85729-163-9http://cds.cern.ch/record/1338840engGliklikh, Yuri EGlobal and Stochastic Analysis with Applications to Mathematical PhysicsMathematical Physics and MathematicsMethods 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 physicsSpringeroai:cds.cern.ch:13388402011
spellingShingle Mathematical Physics and Mathematics
Gliklikh, Yuri E
Global and Stochastic Analysis with Applications to Mathematical Physics
title Global and Stochastic Analysis with Applications to Mathematical Physics
title_full Global and Stochastic Analysis with Applications to Mathematical Physics
title_fullStr Global and Stochastic Analysis with Applications to Mathematical Physics
title_full_unstemmed Global and Stochastic Analysis with Applications to Mathematical Physics
title_short Global and Stochastic Analysis with Applications to Mathematical Physics
title_sort global and stochastic analysis with applications to mathematical physics
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/978-0-85729-163-9
http://cds.cern.ch/record/1338840
work_keys_str_mv AT gliklikhyurie globalandstochasticanalysiswithapplicationstomathematicalphysics