Introduction to mechanics and symmetry : a basic exposition of classical mechanical systems /
| Main Author: | |
|---|---|
| Other Authors: | |
| Format: | Book |
| Language: | English |
| Published: |
New York :
Springer,
1999.
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| Edition: | 2nd ed. |
| Series: | Texts in applied mathematics ;
17. |
| Subjects: |
Table of Contents:
- 1. Introduction and Overview
- 2. Hamiltonian Systems on Linear Symplectic Spaces
- 3. An Introduction to Infinite-Dimensional Systems
- 4. Manifolds, Vector Fields, and Differential Forms
- 5. Hamiltonian Systems on Symplectic Manifolds
- 6. Cotangent Bundles
- 7. Lagrangian Mechanics
- 8. Variational Principles, Constraints, & Rotating Systems
- 9. An Introduction to Lie Groups
- 10. Poisson Manifolds
- 11. Momentum Maps
- 12. Computation and Properties of Momentum Maps
- 13. Lie
- Poisson and Euler
- Poincare Reduction
- 14. Coadjoint Orbits
- 15. The Free Rigid Body.