Geometry and Dynamics of Integrable Systems (Advanced Courses in Mathematics - CRM Barcelona)
Language: English
Published by Birkhäuser, 2016
Series: Book 24 of 35 - Advanced Courses in Mathematics - CRM Barcelona
- Softcover
- New
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In English.
Seller Inventory # ria9783319335025_new
- Title
- Geometry and Dynamics of Integrable Systems (Advanced Courses in Mathematics - CRM Barcelona)
- Author
- Bolsinov, Alexey; Morales-Ruiz, Juan J.; Zung, Nguyen Tien
- Publisher
- Birkhäuser
- Publication year
- 2016
- Condition
- New
- Binding
- Soft cover
- Language
- English
- ISBN 10
- 3319335022
- ISBN 13
- 9783319335025
- Item weight
- 375 grams
- Series
- Book 24 of 35: 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.
"Synopsis" may belong to another edition of this title.
About the Author
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.
"About the title" may belong to another edition of this title.
Ria Christie Collections
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