Momentum Maps and Hamiltonian Reduction
The use of symmetries and conservation laws in the qualitative description of dynamics has a long history going back to the founders of classical mechanics. The focus of this work is a comprehensive and self-contained presentation of the intimate connection between symmetries, conservation laws, and reduction, treating the singular case in detail. This Ferran Sunyer i Balaguer Prize-winning monograph is the first self-contained and thorough presentation of the theory of Hamiltonian reduction in the presence of singularities. It can serve as a resource for graduate courses and seminars in symplectic and Poisson geometry, mechanics, Lie theory, mathematical physics, and as a comprehensive reference resource for researchers.
| Autor: | Ortega, Juan-Pablo Ratiu, Tudor S. |
|---|---|
| ISBN: | 9781475738131 |
| Sprache: | Englisch |
| Seitenzahl: | 501 |
| Produktart: | Kartoniert / Broschiert |
| Verlag: | Birkhäuser Boston |
| Veröffentlicht: | 14.02.2013 |
| Schlagworte: | Hamiltonian Mechanics Integrable Systems Lie Groups Mathematica dynamical systems geometry group action lie group mathematical physics mechanics |
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