(BQ) Ebook Mathematical methods of classical mechanics (Second edition): Part 2 presents the following content: Riemannian curvature; geodesics of left-invariant metrics on lie groups and the hydrodynamics of ideal fluids; symplectic structures on algebraic manifolds; contact structures; dynamical systems with symmetries; normal forms of quadratic hamiltonians; normal forms of hamiltonian systems near stationary points and closed trajectories; theory of perturbations of conditionally periodic motion, and kolmogorov's theorem; |