This book is the first of several volumes on solids in the Shock Wave Science and Technology Reference Library. These volumes are primarily concerned with high-pressure shock waves in solid media, including detonation, high-velocity impact, and penetration. Of the eight chapters in this volume three chapters survey recent, exciting experimental advances in: - Ultra-short shock dynamics at the atomic and molecular scale (D.S. More, S.D. Mcgrane, and D.J. Funk), - Z accelerator for ICE and Shock compression (M.D. Knudson), and - Failure waves in glass and ceramics (S.J. Bless and N.S. Brar). The subsequent four chapters are foundational, and cover the subjects of: - Equation of state (R. Menikoff), - Elastic-plastic shock waves (R. Menikoff), - Continuum plasticity (R. M. Brannon), and - Numerical methods (D. J. Benson). The last chapter, but not the least, describes a tour de force illustration of today's computing power in modeling heterogeneous reactive solids at the grain scale (M.R. Baer). All chapters are each self-contained, and can be read independently of each other, though they are of course thematically interrelated. They offer a timely reference, for beginners, as well as professional scientists and engineers, on the foundations of shock waves in solids with new viewpoints, and on the burgeoning developments.Horie, Yasuyuki is the author of 'Shock Waves Science And Technology Reference Library ', published 2007 under ISBN 9783540223641 and ISBN 3540223649.