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The emphasis of this volume is on the quantitative analysis of transformation kinetics, integrated with thermodynamics. Solidification remains a success story for quantitative kinetics analysis. The experimental work reported concentrates on phase selection under extreme processing -- large undercooling or ultrarapid quenching -- of the liquid. New theoretical treatments are concerned mainly with the analysis of morphological instabilities during directional solidification at more conventional rates. The coverage of particle-beam effects is distinguished by the wide range of materials studied: alkali halides, minerals, semiconductors and metals. The thermodynamics of, and reactions at, interfaces are a particular focus, especially in connection with the solid-state formation of amorphous phases. A highlight of the volume is the coverage of the Johnson-Mehl-Avrami-Kolmogorov analysis of overall transformation kinetics. This venerable treatment is revisited and new insights and limitations are explored.