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Geometry and Dynamics of Integrable Systems by Alexey Bolsinov at Abbey's Bookshop,
Geometry and Dynamics of Integrable Systems
— —
Alexey Bolsinov Juan J. Morales-Ruiz

Geometry and Dynamics of Integrable Systems

Alexey Bolsinov,  Juan J. Morales-Ruiz,  Nguyen Tien Zung ,  Eva Miranda

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English
Birkhauser Verlag AG
09 November 2016
Differential & Riemannian geometry
Series: Advanced Courses in Mathematics - CRM Barcelona
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.
By:   , ,
Edited by:   ,
Imprint:   Birkhauser Verlag AG
Country of Publication:   Switzerland
Edition:   1st ed. 2016
Dimensions:   Height: 240mm,  Width: 168mm,  Spine: 8mm
Weight:   2.666kg
ISBN:   9783319335025
ISBN 10:   3319335022
Series:   Advanced Courses in Mathematics - CRM Barcelona
Pages:   140
Publication Date:  
Audience:   College/higher education ,  Further / Higher Education
Format:   Paperback
Publisher's Status:   Active
Integrable Systems and Differential Galois Theory.- Singularities of bi-Hamiltonian Systems and Stability Analysis.- Geometry of Integrable non-Hamiltonian Systems.

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.

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