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Poisson Structures and Their Normal Forms

Name: Poisson Structures and Their Normal Forms
Brand: Birkhauser Verlag AG
SKU: 01716769
Price: 139.39 EUR
Availability: InStock
Author: Jean P. Dufour
ISBN: 9783764373344

Jean P. Dufour

Nguyen Tien Zung

Language

English

Book Hardback

Libristo code: 01716769

Publishers Birkhauser Verlag AG, September 2005

Poisson manifolds play a fundamental role in Hamiltonian dynamics, where they serve as phase spaces.... Full description

Libristo code: 01716769

341 b

139.39 € VAT included

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Poisson manifolds play a fundamental role in Hamiltonian dynamics, where they serve as phase spaces. They also arise naturally in other mathematical problems, and form a bridge from the "commutative world" to the "noncommutative world". The aim of this book is twofold: On the one hand, it gives a quick, self-contained introduction to Poisson geometry and related subjects, including singular foliations, Lie groupoids and Lie algebroids. On the other hand, it presents a comprehensive treatment of the normal form problem in Poisson geometry. Even when it comes to classical results, the book gives new insights. It contains results obtained over the past 10 years which are not available in other books.