Symmetries, Topology and Resonances in Hamiltonian Mechanics
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"Symmetries, Topology and Resonances in Hamiltonian Mechanics" by Valerij V. Kozlov is a mathematics book and learning resource focused on Dynamics. Best for teachers, students, and readers looking for stronger mathematical understanding.
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.
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"Symmetries, Topology and Resonances in Hamiltonian Mechanics" by Valerij V. Kozlov is a mathematics book and learning resource focused on Dynamics. Best for teachers, students, and readers looking for stronger mathematical understanding.
Topic: Dynamics
Author: Valerij V. Kozlov
Who this is for:
- Teachers and classroom instructors
- Students building subject mastery
- Readers looking for practical learning support
Why this book matters: It stands out as a practical math resource that helps explain concepts, strengthen problem-solving, and support classroom or independent learning.
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.
| Author | Valerij V. Kozlov |
| Publisher | Springer |
| Published | 2011-12-30 |
| ISBN-13 | 9783642783951 |
| Binding | Paperback |
| Language | English |
| Subjects | Mathematics |
| Topic | Dynamics |
| Series | Ergebnisse Der Mathematik Und Ihrer Grenzgebiete. 3. Folge / |
Format: Paperback
Language: English
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