Mathematical aspects of classical and celestial mechanics
V. I. Arnold (ed.).
2nd ed.
Berlin : Springer-Verlag, ©1993.
xiv, 291 págs. : ilustraciones ; 24 cm.
Serie: Encyclopaedia of mathematical sciences ; v. 3 Dynamical systems ; 3
ISBN: 3540572414 (Berlin), 0387572414 (New York)
Autores: V. I. Arnold, V. V. Kozlov, A. I. Neishtadt.
Traducido del ruso por A. Iacob.
Incluye referencias bibliográficas (p. [276]-285) e índice.
Reseña: MathSciNet, 2000b:37054
Contenido
- 1. Basic principles of classical mechanics
- 2. The $n$-body problem
- 3. Symmetry groups and reduction (lowering the order)
- 4. Integrable systems and integration methods
- 5. Perturbation theory for integrable systems
- 6. Nonintegrable systems
- 7. Theory of small oscillations.