of Part A -- 1. Lagrangian Mechanics of Particles and Rigid Bodies -- Section 1. Kinematics of Systems of Particles -- Section 2. Kinematics of a Rigid Body -- Section 3. Kinematics of Holonomic Systems of Particles and Rigid Bodies -- Section 4. Dynamical Principles for Particles and Rigid Bodies -- Section 5. Lagrangeโ{128}{153}s Equations for Constrained Systems -- Section 6. Explicit Forms of Lagrangeโ{128}{153}s Equations -- 2. Hamiltonian Systems in Phase Space -- Section 7. Hamiltonโ{128}{153}s Principle -- Section 8. Phase Space and Its Canonical Differential Forms -- Section 9. The Legendre Transformation and the Hamiltonian System I: The Time-Independent Case -- Section 10. The Legendre Transformation and the Hamiltonian System II: The Time-Dependent Case -- Section 11. Contact Transformations and the Hamilton-Jacobi Equation -- Section 12. The Hamilton-Jacobi Theory -- Section 13. Huygensโ{128}{153} Principle for the Hamilton-Jacobi Equation 72 Appendix. Characteristics of a First-Order Partial Differential Equation -- 3. Basic Principles of Continuum Mechanics -- Section 14. Deformations and Motions -- Section 15. Balance Principles -- Section 16. Cauchyโ{128}{153}s Postulate and the Stress Principle -- Section 17. Field Equations -- Section 18. Constitutive Equations -- Section 19. Some Representation Theorems -- Section 20. The Energy Principle for Hyperelastic Materials -- Section 21. Internal Constraints -- 4. Some Topics in the Statics and Dynamics of Material Bodies -- Section 22. Homogeneous Simple Material Bodies -- Section 23. Viscometric Flows of Incompressible Simple Fluids -- Section 24. Universal Solutions for Isotropic Elastic Solids I: The Compressible Case -- Section 25. Universal Solutions for Isotropic Elastic Solids II: The Incompressible Case -- Section 26. Materially Uniform Smooth Elastic Bodies -- Section 27. Material Connections -- Section 28. Nollโ{128}{153}s Equations of Motion -- Section 29. Inhomogeneous Isotropic Elastic Solid Bodies -- Selected Reading for Part A