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Hamiltonian systems and their integrability

Author: Michèle Audin; Donald G Babbitt
Publisher: Providence, R.I. : American Mathematical Society ; [Paris] : Société Mathématique de France, ©2008.
Series: SMF/AMS texts and monographs, v. 15.; Collection SMF., Cours spécialisés ;, no 8.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
"This book presents some modern techniques in the theory of integrable systems viewed as variations on the theme of action-angle coordinates. These techniques include analytical methods coming from the Galois theory of differential equations, as well as more classical algebro-geometric methods related to Lax equations. This book would be suitable for a graduate course in Hamiltonian systems."--Jacket.
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Michèle Audin; Donald G Babbitt
ISBN: 9780821844137 082184413X
OCLC Number: 229750200
Description: xii, 149 pages : illustrations ; 26 cm.
Contents: Introduction to integrable systems --
Action-angle variables --
Integrability and Galois groups --
An introduction to lax equations --
What one needs to know about differential Galois theory --
What one needs to know about algebraic curves.
Series Title: SMF/AMS texts and monographs, v. 15.; Collection SMF., Cours spécialisés ;, no 8.
Other Titles: Systèmes hamiltoniens et leur intégrabilité.
Responsibility: Michèle Audin ; translated by Anna Pierrehumbert ; translation edited by Donald Babbitt.
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Abstract:

Hamiltonian systems began as a mathematical approach to the study of mechanical systems. This book presents some modern techniques in the theory of integrable systems viewed as variations on the  Read more...

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