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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Detalles Bibliográficos
Autores principales: Abraham, Ralph H., 1936-2024, Marsden, Jerrold E., 1942-2010 (Autor)
Otros Autores: Ratiu, Tudor Stefan, 1950-...., mathématicien (Colaborador), Cushman, Richard H., 1942- (Colaborador)
Formato: Livre papier
Lenguaje:Anglais
Publicado: Reading, Mass. ; London ; Amsterdam [etc.] : the Benjamin-Cummings publishing company 1978.
Edición:2nd edition revised, enlarged, and reset.
Materias:
Nota: Retirages avec corrections : 1980, 1981, 1982, 1985
Autres localisations: Voir dans le Sudoc
Tabla de Contenidos:
  • 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