Theoretical and Mathematical Physics

Global and Stochastic Analysis with Applications to Mathematical Physics

Authors: Gliklikh, Yuri E.

  • Covers branches of mathematics not previously published in monograph form
  • Enables a common treatment for areas of mathematical physics traditionally considered as divergent
  • Includes substantial background material on manifolds and stochastic analysis
  • Reviews new work on set-valued mappings and applications of Nelson's mean derivatives
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eBook $99.00
price for USA (gross)
  • ISBN 978-0-85729-163-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA
  • ISBN 978-0-85729-162-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
price for USA
  • ISBN 978-1-4471-2620-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

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

Reviews

From the reviews:

“The book is about applications of global and stochastic analysis in mathematical physics. The majority of the book reflects the work and contributions of the author and his collaborators in this field. … The author, by putting various preparation materials together, has done a good job presenting the theory in a book that for the most part is quite readable. The book is a valuable contribution to the literature, and is recommended to anyone … who is interested in problems of mathematical physics.” (Ming Liao, Mathematical Reviews, Issue 2012 d)

Table of contents (16 chapters)

Buy this book

eBook $99.00
price for USA (gross)
  • ISBN 978-0-85729-163-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA
  • ISBN 978-0-85729-162-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
price for USA
  • ISBN 978-1-4471-2620-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Global and Stochastic Analysis with Applications to Mathematical Physics
Authors
Series Title
Theoretical and Mathematical Physics
Copyright
2011
Publisher
Springer-Verlag London
Copyright Holder
Springer-Verlag London Limited
eBook ISBN
978-0-85729-163-9
DOI
10.1007/978-0-85729-163-9
Hardcover ISBN
978-0-85729-162-2
Softcover ISBN
978-1-4471-2620-1
Series ISSN
1864-5879
Edition Number
1
Number of Pages
XXIV, 436
Topics