Geometry and Dynamics of Integrable Systems (Advanced Courses in Mathematics - CRM Barcelona) - Softcover

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

Softcover

ISBN 10: 3319335022 ISBN 13: 9783319335025

Verlag: Birkhäuser, 2016

Inhaltsangabe

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.

Über diesen Titel

Über die Autorin bzw. den Autor

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.

Von der hinteren Coverseite

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 andalgebraic geometry (including mirror symmetry). As such, the book will appeal to experts with a wide range of backgrounds.

Details zur Ausgabe

• Verlag: Birkhäuser
• Erscheinungsdatum: 2016
• Sprache: Englisch
• ISBN 10: 3319335022
• ISBN 13: 9783319335025
• Einband: Taschenbuch
• Auflage: 1
• Anzahl der Seiten: 152
• Herausgeber: Miranda Eva, Matveev Vladimir
• Kontakt zum Hersteller: Springer-Verlag GmbH; customerservice@springernature.com; ; Tiergartenstraße 17; Heidelberg; Baden-Württemberg; 69121; Deutschland