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The second edition of this ancillary textbook contains updated work by all of the first edition's principal authors as well as an additional tutorial overview of the effects of coherency on phase equilibria and phase transformations. The following papers have been updated: Applications of Gibbs Energy-Composition Diagrams; Theory of Capillarity; The Kinetic Equations of Solid-Solid Nucleation Theory and Comparisons with Experimental Observations; and Moving Phase Boundary Problems. Often used in graduate courses on phase transformations and on broader topics of which transformations are an important component, this text presents more detailed mathematics than research or review papers or is customary in monographs and textbooks.