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Geometry and dynamics of integrable systems
- 作者： Bolsinov, Alexey, author.
- 其他作者：
- 其他題名：
- Advanced courses in mathematics, CRM Barcelona.
- 出版： Cham : Springer International Publishing :Imprint: Birkhauser
- 叢書名： Advanced courses in mathematics, CRM Barcelona,
- 主題： Integral geometry. , Integral equations. , Hamiltonian systems. , Mathematics. , Dynamical Systems and Ergodic Theory. , Differential Geometry. , Field Theory and Polynomials.
- ISBN： 9783319335032 (electronic bk.) 、 9783319335025 (paper)
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FIND@SFXID:
CGU
- 資料類型: 電子書
- 內容註: Integrable Systems and Differential Galois Theory -- Singularities of bi-Hamiltonian Systems and Stability Analysis -- Geometry of Integrable non-Hamiltonian Systems.
- 摘要註: 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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讀者標籤：
- 系統號： 005371843 | 機讀編目格式
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