'The contents cover the most relevant topics for an advanced undergraduate course on analytical mechanics, enlarged by a selection of topics of interest for graduate students and researchers. The chapter structure and subject sequence is carefully chosen, rendering a constructive and pedagogical approach.' Cesar Rodrigo, MathsSciNet
Preface; 1. Lagrangian dynamics; 2. Hamilton's variational principle; 3. Kinematics of rotational motion; 4. Dynamics of rigid bodies; 5. Small oscillations; 6. Relativistic mechanics; 7. Hamiltonian dynamics; 8. Canonical transformations; 9. The Hamilton–Jacobi theory; 10. Hamiltonian perturbation theory; 11. Classical field theory; Appendix A. Indicial notation; Appendix B. Frobenius integrability condition; Appendix C. Homogeneous functions and Euler's theorem; Appendix D. Vector spaces and linear operators; Appendix E. Stability of dynamical systems; Appendix F. Exact differentials; Appendix G. Geometric phases; Appendix H. Poisson manifolds; Appendix I. Decay rate of fourier coefficients; References; Index.
