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Geometry and Dynamics of Integrable Systems by Nguyen Tien Zung
Geometry and Dynamics of Integrable Systems by Nguyen Tien Zung
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Geometry and Dynamics of Integrable Systems

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Description

Based on lectures given at an advanced course on integrable systems at the Centre de Recerca Matemàtica in Barcelona, these lecture notes address three major aspects of integrable systems: obstructions to integrability from differential Galois theory; the description of singularities of integrable systems on the basis of their relation to bi-Hamiltonian systems; and the generalization of integrable systems to the non-Hamiltonian settings. All three sections were written by top experts in their respective fields. Native to actual problem-solving challenges in mechanics, the topic of integrable systems is currently at the crossroads of several disciplines in pure and applied mathematics, and also has important interactions with physics. The study of integrable systems also actively employs methods from differential geometry. Moreover, it is extremely important in symplectic geometry and Hamiltonian dynamics, and has strong correlations with mathematical physics, Lie theory and algebraic geometry (including mirror symmetry). As such, the book will appeal to experts with a wide range of backgrounds.

Author Biography:

Juan J. Morales-Ruiz is Professor of Mathematics at Universidad Politécnica de Madrid. Alexey Bolsinov is Reader in Mathematics at Loughborough University in Leicestershire. Nguyen Tien Zung is Professor of Mathematics at University of Toulouse.
Release date NZ
November 9th, 2016
Audience
  • Postgraduate, Research & Scholarly
Contributors
  • Edited by Eva Miranda
  • Edited by Vladimir Matveev
Edition
1st ed. 2016
Illustrations
3 Illustrations, color; 19 Illustrations, black and white; VIII, 140 p. 22 illus., 3 illus. in color.
Pages
140
Dimensions
168x240x8
ISBN-13
9783319335025
Product ID
25163053

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