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Symmetries, Topology and Resonances in Hamiltonian Mechanics Softcover Repri Edition
Contributor(s): Kozlov, Valerij V. (Author), Bolotin, S. V. (Translator), Fedorov, Yu (Translator)
ISBN: 3642783953     ISBN-13: 9783642783951
Publisher: Springer
OUR PRICE:   $52.24  
Product Type: Paperback - Other Formats
Published: December 2011
Qty:
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.