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Global and Stochastic Analysis with Applications to Mathematical Physics

  • Yuri E.¬†Gliklikh

Part of the Theoretical and Mathematical Physics book series (TMP)

Table of contents

  1. Front Matter
    Pages I-XXIII
  2. Global Analysis

    1. Front Matter
      Pages 1-1
    2. Yuri E. Gliklikh
      Pages 3-34
    3. Yuri E. Gliklikh
      Pages 35-66
    4. Yuri E. Gliklikh
      Pages 67-96
    5. Yuri E. Gliklikh
      Pages 97-104
    6. Yuri E. Gliklikh
      Pages 105-112
  3. Stochastic Analysis

    1. Front Matter
      Pages 113-113
    2. Yuri E. Gliklikh
      Pages 139-186
    3. Yuri E. Gliklikh
      Pages 187-224
    4. Yuri E. Gliklikh
      Pages 225-246
    5. Yuri E. Gliklikh
      Pages 247-252
  4. Applications to Mathematical Physics

    1. Front Matter
      Pages 253-253
    2. Yuri E. Gliklikh
      Pages 255-282
    3. Yuri E. Gliklikh
      Pages 299-330
    4. Yuri E. Gliklikh
      Pages 331-354
    5. Yuri E. Gliklikh
      Pages 355-386
    6. Yuri E. Gliklikh
      Pages 387-414
  5. Back Matter
    Pages 415-436

About this book

Introduction

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

Keywords

Global Analysis Manifolds Nelson's mean derivatives Set-valued mappings Stochastic Analysis

Authors and affiliations

  • Yuri E.¬†Gliklikh
    • 1
  1. 1.Mathematics DepartmentVoronezh State UniversityVoronezhRussian Federation

Bibliographic information

  • DOI https://doi.org/10.1007/978-0-85729-163-9
  • Copyright Information Springer-Verlag London Limited 2011
  • Publisher Name Springer, London
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-0-85729-162-2
  • Online ISBN 978-0-85729-163-9
  • Series Print ISSN 1864-5879
  • Series Online ISSN 1864-5887
  • Buy this book on publisher's site