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Titlebook: Global and Stochastic Analysis with Applications to Mathematical Physics; Yuri E. Gliklikh Book 2011 Springer-Verlag London Limited 2011 G

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書(shū)目名稱(chēng)Global and Stochastic Analysis with Applications to Mathematical Physics
編輯Yuri E. Gliklikh
視頻videohttp://file.papertrans.cn/387/386700/386700.mp4
概述Covers branches of mathematics previously absent in monograph form.Combines methods of Global and Stochastic Analysis, enabling a more or less common treatment for areas of mathematical physics tradit
叢書(shū)名稱(chēng)Theoretical and Mathematical Physics
圖書(shū)封面Titlebook: Global and Stochastic Analysis with Applications to Mathematical Physics;  Yuri E. Gliklikh Book 2011 Springer-Verlag London Limited 2011 G
描述.

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.

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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.

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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

出版日期Book 2011
關(guān)鍵詞Global Analysis; Manifolds; Nelson‘s mean derivatives; Set-valued mappings; Stochastic Analysis
版次1
doihttps://doi.org/10.1007/978-0-85729-163-9
isbn_softcover978-1-4471-2620-1
isbn_ebook978-0-85729-163-9Series ISSN 1864-5879 Series E-ISSN 1864-5887
issn_series 1864-5879
copyrightSpringer-Verlag London Limited 2011
The information of publication is updating

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Die Elemente der dritten Hauptgruppe,on stochastic differential equations. A monographic presentation of various alternative aspects of and approaches to stochastic analysis on manifolds can be found in (Belopolskaya and Dalecky, .), (Elworthy, .), (Emery, .), (Hsu, .), Meyer (Lecture Notes in Mathematics 850, .; Lecture Notes in Mathe
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https://doi.org/10.1007/978-3-642-50721-2d and mean backward derivatives of .(.), if they exist, in any chart. However, from formula (7.19) it follows that for solutions of (7.18) we would obtain the mean derivatives depending on the local connector of the connection . in the chart and even on ., while for physical reasons the derivatives
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https://doi.org/10.1007/978-3-663-04195-5n those groups of diffeomorphisms that arise in the applications to viscous hydrodynamics described in Section 16.4 below (see, e.g., Gliklikh (., ., .)). This class of equations is characterized by the fact that they involve finite-dimensional Wiener processes. It should be pointed out that a theor
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Physica-Schriften zur Betriebswirtschaftrajectory. It is known (see, e.g., Hartman (.)) that for a second order differential equation (i.e., in particular, for Newton’s law) on Euclidean space such a trajectory exists provided that the right-hand side of the differential equation is bounded and continuous. More precisely, for any two poin
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