Foundations of mechanics : a mathematical exposition of classical mechanics with an introduction to the qualitative theory of dynamical systems and applications to the three-body problem

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Auteurs principaux : Abraham Ralph H. (Auteur), Marsden Jerrold E. (Auteur)
Autres auteurs : Ratiu Tudor Stefan (Collaborateur), Cushman Richard H. (Collaborateur)
Format : Livre
Langue : anglais
Titre complet : Foundations of mechanics : a mathematical exposition of classical mechanics with an introduction to the qualitative theory of dynamical systems and applications to the three-body problem / Ralph Abraham and Jerrold E. Marsden,...; with the assistance of Tudor Ratiu and Richard Cushman
Édition : 2nd edition revised, enlarged, and reset
Publié : Reading, Mass., London, Amsterdam [etc.] : the Benjamin-Cummings publ. co. , 1978
Description matérielle : 1 vol. (XXII-806 p.)
Sujets :
  • Part I, Preliminaries
  • Chapter 1. Differential theory
  • Chapter 2. Calculus on manifolds
  • Part II, Analytical dynamics
  • Chapter 3. Hamiltonian and Lagrangian systems
  • Chapter 4. Hamiltonian systems with symmetry
  • Chapter 5. Hamilton-Jacobi theory and mathematical physics
  • Part III, An outline of qualitative dynamics
  • Chapter 6. Topological dynamics
  • Chapter 7. Differentiable dynamics
  • Chapter 8. Hamiltonian dynamics
  • Part IV, Celestial mechanics
  • Chapter 9. The two-body problem
  • Chapter 10. The three-body problem
  • Appendix