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...

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書誌詳細
主要な著者: Dufour, Jean-Paul, 1943-...., mathématicien, Nguyen, Tien Zung, 1970-...., mathématicien (著者)
フォーマット: Livre numérique
言語:Anglais
出版事項: Basel : Birkhäuser Basel [20..].
Cham : Springer Nature
版:1st ed. 2005.
シリーズ:Progress in Mathematics 242
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Edition sous un autre format:• Poisson structures and their normal forms, Jean-Paul Dufour, Nguyen Tien Zung, 2005, Basel, Birkhäuser, 1 vol. (XV-321 p.), Progress in mathematics, 3-7643-7334-2
• Poisson Structures and Their Normal Forms, Texte imprimé, 9783764390891
• Poisson structures and their normal forms, Jean-Paul Dufour, Nguyen Tien Zung, 2005, Basel, Birkhäuser, 1 vol. (XV-321 p.), Progress in mathematics, 3-7643-7334-2
その他の書誌記述
要約: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.
記述事項:Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
書誌:Bibliogr.
ISBN:9783764373351
ISSN:2296-505X
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