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The Geometry of Infinite-Dimensional Groups
Boris A. Khesin
€ 239.98
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Description for The Geometry of Infinite-Dimensional Groups
Paperback. This monograph gives an overview of various classes of infinite-dimensional Lie groups and their applications in Hamiltonian mechanics, fluid dynamics, integrable systems, gauge theory, and complex geometry. The text includes many exercises and open questions. Num Pages: 304 pages, biography. BIC Classification: PBG; PBKS; PBMW; PDE; PHD; TBJ. Category: (P) Professional & Vocational. Dimension: 234 x 156 x 17. Weight in Grams: 451.
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 ... Read more
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 ... Read more
Product Details
Publisher
Springer
Format
Paperback
Publication date
2009
Condition
New
Weight
451g
Number of Pages
304
Place of Publication
Berlin, Germany
ISBN
9783540852056
SKU
V9783540852056
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
About Boris A. Khesin
B.Khesin's areas of research are infinite-dimensional Lie groups, integrable systems, Poisson geometry, and topological hydrodynamics. Together with Vladimir Arnold he is the author of the monograph on Topological methods in hydrodynamics , which has become a standard reference in mathematical fluid dynamics. He was a Sloan research fellow in 1997-1999 and a Clay Mathematics Institute book fellow in 2006-2007, ... Read more
Reviews for The Geometry of Infinite-Dimensional Groups
From the reviews: The book under review is a welcome addition to the literature on infinite-dimensional Lie groups. ... the present monograph is to `present the unifying ideas of the theory by concentrating on specific types and examples of infinite-dimensional Lie groups', in the authors' own words. The groups discussed here can be divided roughly into ... Read more