Symmetries Topology and Resonances in Hamiltonian Mechanics is popular PDF and ePub book, written by Valerij V. Kozlov in 2012-12-06, 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, Symmetries Topology and Resonances in Hamiltonian Mechanics can be Read Online from any device for your convenience.
Symmetries Topology and Resonances in Hamiltonian Mechanics Book PDF Summary
John Hornstein has written about the author's theorem on nonintegrability of geodesic flows on closed surfaces of genus greater than one: "Here is an example of how differential geometry, differential and algebraic topology, and Newton's laws make music together" (Amer. Math. Monthly, November 1989). Kozlov's book is a systematic introduction to the problem of exact integration of equations of dynamics. The key to the solution is to find nontrivial symmetries of Hamiltonian systems. After Poincaré's work it became clear that topological considerations and the analysis of resonance phenomena play a crucial role in the problem on the existence of symmetry fields and nontrivial conservation laws.
Detail Book of Symmetries Topology and Resonances in Hamiltonian Mechanics PDF
- Author : Valerij V. Kozlov
- Release : 06 December 2012
- Publisher : Springer Science & Business Media
- ISBN : 9783642783937
- Genre : Mathematics
- Total Page : 390 pages
- Language : English
- PDF File Size : 12,7 Mb
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