Name: poisson structures and their normal forms
SKU: 3425834
Price: 121.64 EUR
Availability: InStock
Author: dufour,zung

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poisson structures and their normal forms

Type

Physical Book

Publisher

Springer

Author

dufour,zung

Language

English

Pages

321

ISBN

3764373342

ISBN13

9783764373344

Synopsis "poisson structures and their normal forms"

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.