Poisson Structures and Their Normal Forms: 242 (Progress in Mathematics, 242) - Hardcover

Dufour, Jean-Paul; Zung, Nguyen Tien

 
9783764373344: Poisson Structures and Their Normal Forms: 242 (Progress in Mathematics, 242)

Synopsis

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.

"synopsis" may belong to another edition of this title.

Synopsis

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.

"About this title" may belong to another edition of this title.

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9783764390891: Poisson Structures and Their Normal Forms

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ISBN 10:  3764390891 ISBN 13:  9783764390891
Publisher: Birkhäuser, 2009
Softcover