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Geometry and dynamics of integrable systems

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Geometry and dynamics of integrable systems/ by Alexey Bolsinov ... [et al.].
其他作者:	Bolsinov, Alexey.
出版者:	Cham :Springer International Publishing : : 2016.,
面頁冊數:	viii, 140 p. :ill. (some col.), digital ; : 24 cm.;
Contained By:	Springer eBooks
標題:	Integral geometry. -
電子資源:	http://dx.doi.org/10.1007/978-3-319-33503-2
ISBN:	9783319335032

Geometry and dynamics of integrable systems
Geometry and dynamics of integrable systems[electronic resource] /by Alexey Bolsinov ... [et al.]. - Cham :Springer International Publishing :2016. - viii, 140 p. :ill. (some col.), digital ;24 cm. - Advanced courses in mathematics, CRM Barcelona,2297-0304. - Advanced courses in mathematics, CRM Barcelona..

Integrable Systems and Differential Galois Theory -- Singularities of bi-Hamiltonian Systems and Stability Analysis -- Geometry of Integrable non-Hamiltonian Systems.

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; 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.

ISBN: 9783319335032

Standard No.: 10.1007/978-3-319-33503-2doiSubjects--Topical Terms:

672316
Integral geometry.

LC Class. No.: QA672

Dewey Class. No.: 516.36

Geometry and dynamics of integrable systems
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505 0 $a Integrable Systems and Differential Galois Theory -- Singularities of bi-Hamiltonian Systems and Stability Analysis -- Geometry of Integrable non-Hamiltonian Systems.
520 $a 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; 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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