| Symmetries, Topology and Resonances in Hamiltonian Mechanics Softcover Repri Edition Contributor(s): Kozlov, Valerij V. (Author), Bolotin, S. V. (Translator), Fedorov, Yu (Translator) |
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ISBN: 3642783953 ISBN-13: 9783642783951 Publisher: Springer OUR PRICE: $52.24 Product Type: Paperback - Other Formats Published: December 2011 |
| Additional Information |
| BISAC Categories: - Science | Mechanics - Dynamics - Mathematics | Mathematical Analysis - Science | Physics - Mathematical & Computational |
| Dewey: 531.110 |
| Series: Ergebnisse Der Mathematik Und Ihrer Grenzgebiete. 3. Folge / |
| Physical Information: 0.81" H x 6.14" W x 9.21" (1.22 lbs) 378 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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 Poincar '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. |