Geometry and Dynamics of Integrable Systems is popular PDF and ePub book, written by Alexey Bolsinov in 2016-10-27, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Geometry and Dynamics of Integrable Systems can be Read Online from any device for your convenience.
Geometry and Dynamics of Integrable Systems Book PDF Summary
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.
Detail Book of Geometry and Dynamics of Integrable Systems PDF
- Author : Alexey Bolsinov
- Release : 27 October 2016
- Publisher : Birkhäuser
- ISBN : 9783319335032
- Genre : Mathematics
- Total Page : 148 pages
- Language : English
- PDF File Size : 11,6 Mb
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