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Applications of global analysis in mathematical physics

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Published by Publish or Perish, inc. in [Boston .
Written in English

Subjects:

  • Global analysis (Mathematics),
  • Mathematical physics.

Book details:

Edition Notes

Bibliography: p. 246-273.

Statement[by] Jerry Marsden.
SeriesMathematics lecture series, 2
Classifications
LC ClassificationsQC20.7.G55 M37
The Physical Object
Pagination273 p.
Number of Pages273
ID Numbers
Open LibraryOL5067495M
ISBN 10091409811X
LC Control Number74075308

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This book is the first in monographic literature giving a common treatment to three areas of applications of Global Analysis in Mathematical Physics previously considered quite distant from each other, namely, differential geometry applied to classical mechanics, stochastic differential geometry used in quantum and statistical mechanics, and infinite-dimensional differential geometry fundamental Cited by: You can write a book review and share your experiences. Other readers will always be interested in your opinion of the books you've read. Whether you've loved the book or not, if you give your honest and detailed thoughts then people will find new books that are right for them. The book introduces some methods of global analysis which are useful in various problems of mathematical physics. The author wants to make use of ideas from geometry to shed light on problems in analysis which arise in mathematical physics. Jul 25,  · Applications of global analysis in mathematical physics Applications of global analysis in mathematical physics by Marsden, Jerrold E. Publication date Internet Archive Books. Scanned in China. Uploaded by Tracey Gutierres on July 25, Pages:

Jun 28,  · Applications of global analysis in mathematical physics by Jerrold E. Marsden Published by Publish or Perish, inc. in [kauainenehcp.com by: 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. Title: Book-Review - Applications of Global Analysis in Mathematical Physics: Authors: Marsden, J.; Haubold, H. J. Publication: Astronomische Nachrichten, Vol. The first edition of this book entitled Analysis on Riemannian Manifolds and Some Problems of Mathematical Physics was published by Voronezh Univer­ sity Press in For its English edition, the book has been substantially revised and expanded. In particular, new material has been added to Sections 19 and

This book provides a comprehensive coverage of modern global analysis and geometrical mathematical physics, dealing with topics such as; structures on manifolds, pseudogroups, Lie groupoids, and global Finsler geometry; the topology of manifolds and differentiable mappings; differential equations (including ODEs, differential systems and. Abstract. These notes are based on a series of ten lectures given at Carleton University, Ottawa, from June 21 through July 6, The notes follow the lectures fairly closely except for a few minor amplifications. \ud \ud The purpose of the lectures was to introduce some methods of global analysis which I have found useful in various problems of mathematical physics. Optimization problems, such as finding geodesics on Riemannian manifolds, can be solved using differential equations so that the calculus of variations overlaps with global analysis. Global analysis finds application in physics in the study of dynamical systems and topological quantum field theory. Global Analysis in Mathematical Physics - Geometric and Stochastic Methods Yuri Gliklikh, Viktor L. Ginzburg This book gives a common treatment to three areas of application of Global analysis to Mathematical Physics previously considered quite distant from each other.