1. BASIC EQUATIONS. The Nature of the Thermodynamic System. General Energy Equation for a Continuum. Energy Balance at the Phase-Change Interface. Nonlinearity of Solidification Problems. Conservation of Mass, Momentum and Energy for Continuum. Heat, Mass, and Momentum Flow in Porous Media. Nomenclature. References. 2. PLANE PROBLEMS WITH TEMPERATURE BOUNDARY CONDITIONS. Neumann Problem and Variations. Neumann Problem With Variable Properties. Neumann Problem With Variable Temperatures. Melting Temperature Range. Subcooled Liquid - Frazil Ice. Solidification in Contact with Cold Wall. Thaw With Consolidation of Melted Medium. Freeze of a Flowing Fluid. Freeze Coating on a Moving Sheet. Continuous Casting of Slab. Convective Effects. Nomenclature. References. 3. PLANE PROBLEMS WITH CONVECTION (RADIATION) AT FREE SURFACE. Single-Phase Problems. Two-Phase Problems. Nomenclature. References. 4. PLANE PROBLEMS WITH SPECIFIED SURFACE HEAT FLUX. Exact Solution for Semi-Infinite Medium. Approximate Solutions, Single Phase, Semi-Infinite Region. Two-Phase Problems. Ablation with Complete Removal of Melt. Freezing of a Flowing Fluid. Nomenclature. References. 5. THAW BENEATH INSULATED STRUCTURES; QUASI-STEADY SOLUTIONS. General Quasi-Steady Relations. Nomenclature. References. 6. CYLINDRICAL PROBLEMS. Outward Phase Change, Infinite Domain. Outward Phase Change, Finite Geometry. Inward Phase Change. Convective Effects and Relations. Nomenclature. References. 7. PROBLEMS IN SPHERICAL GEOMETRY. Outward Phase Change. Spherical Problems, Inward Growth. Nomenclature. References. 8. PHASE CHANGE IN POROUS MEDIA. Natural Convection in Porous Media Without Phase Change. Natural Convection With Phase Change. Coupled Energy and Mass Fluxes. Nomenclature. References. APPENDIX A: Quasi-Static Approximations and Perturbation Methods. APPENDIX B: The Heat Balance Integral Method. APPENDIX C: Biot's Variational Principle. APPENDIX D: Error Function and Error Integral Family. APPENDIX E: Exponential Integral and Related Functions. APPENDIX F: Porous Media and Macroscopic Equations. APPENDIX G: Laplace Transforms and Phase-Change Problems. SUBJECT INDEX. AUTHOR INDEX.