This monograph on high-density explosives presents a self-contained exposition of the progress made in numerical methods and computer modeling of explosions of solids, liquids and compressed gases. Using such modern methods as matched asymptotic expansions and quantum chemical calculations, the author treats the molecular, mesoscopic, and macroscopic scales. The treatment covers thermodynamic aspects of propagation, molecular mechanisms of explosive decomposition, generation of detonation, and the dynamical characterization of explosives.