Preface; 1. Formulating geodynamical model problems: three case studies; 2. Dimensional and scaling analysis; 3. Self-similarity and intermediate asymptotics; 4. Slow viscous flow; 5. Elasticity and viscoelasticity; 6. Boundary-layer theory; 7. Long-wave theories, I: lubrication theory and related techniques; 8. Long-wave theories, II: shells, plates and sheets; 9. Theory of two-phase flow; 10. Hydrodynamic stability and thermal convection; 11. Convection in more realistic systems; References; Index.