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

Libro 24 de 35: Advanced Courses in Mathematics - CRM Barcelona

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

 
9783319335025: Geometry and Dynamics of Integrable Systems (Advanced Courses in Mathematics - CRM Barcelona)
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ISBN 10: 3319335022 ISBN 13: 9783319335025
Editorial: Birkhäuser, 2016

Sinopsis

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.

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Acerca del 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.

De la contraportada

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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Birkhäuser
Año de publicación
2016
Idioma
Inglés
ISBN 10 
3319335022
ISBN 13 
9783319335025
Encuadernación
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Número de edición
1
Número de páginas
152
Editor
Miranda Eva, Matveev Vladimir
Contacto del fabricante
Springer-Verlag GmbH
customerservice@springernature.com

Tiergartenstraße 17
Heidelberg
Baden-Württemberg
69121
Alemania

Otras ediciones populares con el mismo título

9783319335049: Geometry and Dynamics of Integrable Systems

Edición Destacada

ISBN 10:  3319335049 ISBN 13:  9783319335049
Editorial: Birkhäuser, 2016
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