Foundations Of Mechanics

Introduction Foreward by Tudor Ratiu and Richard Cushman Preliminaries Differential Theory Calculus on Manifolds Analytical Dynamics Hamiltonian and Lagrangian Systems Hamiltonian Systems with Symmetry Hamiltonian-Jacobi Theory and Mathematical Physics An Outline of Qualitative Dynamics Topological Dynamics Differentiable Dynamics Hamiltonian Dynamics Celestial Mechanics The Two-Body Problem The Three-Body Problem.