Part I. Mathematical Preliminaries: 1. Vectors and tensors; 2. Basic integral theorems; 3. Fourier series and Fourier integrals; Part II. Continuum Mechanics: 4. Kinematics of continuum; 5. Kinetics of continuum; 6. Thermodynamics of continuum; 7. Nonlinear elasticity; Part III. Linear Elasticity: 8. Governing equations; 9. Elastic beam problems; 10. Solutions in polar coordinates; 11. Torsion and bending of prismatic rods; 12. Semi-infinite media; 13. Isotropic 3-D solutions; 14. Anisotropic 3-D solutions; 15. Plane contact problems; 16. Deformation of plates; Part IV. Micromechanics: 17. Dislocations and cracks: elementary treatment; 18. Dislocations in anisotropic media; 19. Cracks in anisotropic media; 20. The Inclusion Problem; 21. Forces and energy in elastic systems; 22. Micropolar elasticity; Part V. Thin Films and Interfaces: 23. Dislocations in biomaterials; 24. Strain relaxation in thin films; 25. Stability of planar interfaces; Part VI. Plasticity and Viscoplasticity: 26. Phenomenological plasticity; 27. Micromechanics of crystallographic slip; 28. Crystal plasticity; 29. The nature of crystalline deformation: localized plastic deformation; 30. Polycrystal plasticity; 31. Laminate plasticity; Part VII. Biomechanics: 32. Mechanics of a growing mass; 33. Constitutive relations for membranes; Part VIII. Solved Problems: 34. Solved problems for chapters 1-33.