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. Lagrange's Equations for Constrained Systems. - Section 6. Explicit Forms of Lagrange's Equations. - 2. Hamiltonian Systems in Phase Space. - Section 7. Hamilton'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. Huygens' 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. Cauchy'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. - Section27. Material Connections. - Section 28. Noll's Equations of Motion. - Section 29. Inhomogeneous Isotropic Elastic Solid Bodies. - Selected Reading for Part A. Language: English