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Geometry And Dynamics Of Integrable Systems Bolsinov Alexey Matveev

Name: Geometry And Dynamics Of Integrable Systems Bolsinov Alexey Matveev
SKU: BELL-6750808
Price: 31.00 USD
Availability: InStock
Rating: 4.1 (10 reviews)

SKU: BELL-6750808

$ 31.00 ~~$ 45.00~~ (-31%)

4.1

10 reviews

Geometry And Dynamics Of Integrable Systems Bolsinov Alexey Matveev instant download after payment.

Publisher: Springer International Publishing : Imprint : Birkhäuser

File Extension: PDF

File size: 2.89 MB

Pages: 140

Author: Bolsinov, Alexey; Matveev, Vladimir; Miranda, Eva; Morales-Ruiz, Juan J.; Zung, Nguyen Tien

ISBN: 9783319335025, 9783319335032, 3319335022, 3319335030

Language: English

Year: 2016

Product desciption

Geometry And Dynamics Of Integrable Systems Bolsinov Alexey Matveev by Bolsinov, Alexey; Matveev, Vladimir; Miranda, Eva; Morales-ruiz, Juan J.; Zung, Nguyen Tien 9783319335025, 9783319335032, 3319335022, 3319335030 instant download after payment.

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.
Abstract: Based on lectures given at an advanced course on integrable systems at the Centre de Recerca Matematica in Barcelona, these lecture notes address three major aspects of integrable systems: obstructions to integrability from differential Galois theory;