Preface; Part I. Introductory Material: 1. Introduction; 2. Getting started; Part II. Kinematics, Dynamics and Rheology: 3. Kinematics of deformation and flow; 4. Dynamics and the stress tensor; 5. Some thermodynamics; 6. Shear rheology; 7. Static state and perturbations; 8. Introduction to rotating fluids; Part III. Waves in Non-Rotating Fluids: 9. Introduction to waves; 10. Elastic waves; 11. Deep-water waves; 12. Linear shallow-water waves; 13. Non-linear shallow-water waves; 14. Other non-rotating waves; Part IV. Waves in Rotating Fluids: 15. Geostrophic, inertial and rossby waves; 16. Rotationally modified waves; 17. Equatorial waves; 18. Coastal and topographic waves; Part V. Non-Rotating Flows: 19. Orientation to one-dimensional flow; 20. Steady channel flow; 21. Unsteady channel flow: hydraulic shock waves; 22. Gravitationally forced flows; 23. A simple model of turbulent flow; 24. Some simple turbulent flows; Part VI. Flows in Rotating Fluids: 25. Ekman layers; 26. Atmospheric flows; 27. Oceanic currents; 28. Vortices; Part VII. Silicate Flows: 29. Equations governing silicate flows; 30. Cooling the Earth; 31. Cooling the mantle; 32. Cooling the core; 33. Overview of volcanic flows; 34. Flow in volcanic conduits; 35. Lava flow; Part VIII. Fundaments: Appendix A. Mathematics; Appendix B. Dimensions and units; Appendix C. Kinematics; Appendix D. Dynamics; Appendix E. Thermodynamics; Appendix F. Waves; Appendix G. Flows; References; Index.