Nivaldo A. Lemos is Associate Professor of Physics at Universidade Federal Fluminense, Brazil. He was previously a visiting scholar at the Massachusetts Institute of Technology. His main research areas are quantum cosmology, quantum field theory and the teaching of classical mechanics.
Inhaltsangabe
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.
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.
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