Introduction to mechanics and symmetry: a basic exposition of classical mechanical systems
By: Marsden, Jerrold E
| Ratiu, Tudor S
Material type: 
TextLanguage: English Publisher: United States of America -- Springer -- 1999Edition: 2nd edDescription: xviii, 582pISBN: 9781441931436Subject(s): Mechanics | Symmetry | PhysicsDDC classification: 531 MAR/I Summary: In recent times, the interest in mechanics, and in symmetry techniques in particular, has accelerated because of developments in dynamical systems, the use of geometric methods and new applications to integrable and chaotic systems, control systems, stability and bifurcation, and the study of specific rigid, fluid, plasma and elastic systems.
| Item type | Current location | Collection | Call number | Status | Date due | Barcode |
|---|---|---|---|---|---|---|
Reference
|
CENTRAL LIBRARY Reference (Sahyadri Campus) | Reference | 531 MAR/I | Not for loan | 08991 | |
Book
|
CENTRAL LIBRARY General Stack (Sahyadri Campus) | 531 MAR/I | Available | 08992 |
- 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—Poincaré Reduction.
- 14 Coadjoint Orbits.
- 15 The Free Rigid Body.
- References.
In recent times, the interest in mechanics, and in symmetry techniques in particular, has accelerated because of developments in dynamical systems, the use of geometric methods and new applications to integrable and chaotic systems, control systems, stability and bifurcation, and the study of specific rigid, fluid, plasma and elastic systems.