Geometry and Dynamics of Integrable Systems - Couverture souple

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

 
9783319335025: Geometry and Dynamics of Integrable Systems
Couverture souple
ISBN 10 : 3319335022 ISBN 13 : 9783319335025
Editeur : Birkhäuser, 2016

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l?auteur

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.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Birkhäuser
Date d'édition
2016
Langue
anglais
ISBN 10 
3319335022
ISBN 13 
9783319335025
Reliure
Broché
Numéro d'édition
1
Nombre de pages
152
Éditeur
Miranda Eva, Matveev Vladimir
Coordonnées du fabricant
non disponible
Personne responsable
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Autres éditions populaires du même titre

9783319335049: Geometry and Dynamics of Integrable Systems

Edition présentée

ISBN 10 :  3319335049 ISBN 13 :  9783319335049
Editeur : Birkhäuser, 2016
Couverture souple