Geometry and Dynamics of Integrable Systems - Brossura

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

Brossura

ISBN 10: 3319335022 ISBN 13: 9783319335025

Casa editrice: Birkhäuser, 2016

Riassunto

Based on lectures given at an advanced course on integrable systems at the Centre de Recerca Matemątica 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.

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Informazioni sull'autore

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.

Dalla quarta di copertina

Based on lectures given at an advanced course on integrable systems at the Centre de Recerca Matemątica 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 andalgebraic geometry (including mirror symmetry). As such, the book will appeal to experts with a wide range of backgrounds.

Dettagli dell'edizione

• Editore: Birkhäuser
• Data di pubblicazione: 2016
• Lingua: Inglese
• ISBN 10: 3319335022
• ISBN 13: 9783319335025
• Rilegatura: Copertina flessibile
• Numero edizione: 1
• Numero di pagine: 148
• Redattore: Miranda Eva, Matveev Vladimir
• Contatto del produttore: Springer-Verlag GmbH; customerservice@springernature.com; ; Tiergartenstraße 17; Heidelberg; Baden-Württemberg; 69121; Germania