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The Geometry of Infinite-Dimensional Groups by Robert Wendt, Boris Khesin (Paperback, 2009)

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The aim of this monograph is to give an overview of various classes of in?ni- dimensional Lie groups and their applications, mostly in Hamiltonian - chanics, ?uid dynamics, integrable systems, and complex geometry. We have chosen to present the unifying ideas of the theory by concentrating on speci?c typesandexamplesofin?nite-dimensionalLiegroups. Ofcourse,theselection of the topics is largely in?uenced by the taste of the authors, but we hope thatthisselectioniswideenoughtodescribevariousphenomenaarisinginthe geometry of in?nite-dimensional Lie groups and to convince the reader that they are appealing objects to study from both purely mathematical and more applied points of view. This book can be thought of as complementary to the existing more algebraic treatments, in particular, those covering the str- ture and representation theory of in?nite-dimensional Lie algebras, as well as to more analytic ones developing calculus on in?nite-dimensional manifolds. This monograph originated from advanced graduate courses and mi- courses on in?nite-dimensional groups and gauge theory given by the ?rst author at the University of Toronto, at the CIRM in Marseille, and at the Ecole Polytechnique in Paris in 2001-2004. It is based on various classical and recentresultsthathaveshapedthisnewlyemergedpartofin?nite-dimensional geometry and group theory. Our intention was to make the book concise, relatively self-contained, and useful in a graduate course. For this reason, throughout the text, we have included a large number of problems, ranging from simple exercises to open questions.

Product Identifiers

Publisher
Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
ISBN-13
9783540852056
eBay Product ID (ePID)
107056919

Product Key Features

Author
Robert Wendt, Boris Khesin
Publication Name
The Geometry of Infinite-Dimensional Groups
Format
Paperback
Language
English
Subject
Mathematics, Physics
Publication Year
2009
Type
Textbook
Number of Pages
304 Pages

Dimensions

Item Height
235mm
Item Width
155mm
Item Weight
492g

Additional Product Features

Title_Author
Robert Wendt, Boris Khesin
Country/Region of Manufacture
Germany

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The Geometry of Infinite-Dimensional Groups by Robert Wendt, Boris Khesin (Paperback, 2009)

About this product

Product Information

Product Identifiers

Product Key Features

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Additional Product Features

Best Selling in Adult Learning & University

Time Management by Peter Quarry (Paperback, 1986)

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Save on Adult Learning & University

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