Alongside experimental and theoretical work, computer simulation now forms one of the major tools of research in physics. The Monte Carlo method is the most important simulation method in the area of condensed matter physics. This book, written by foremost experts in the field, describes the state of the art of simulation methods in solid state physics. It also reviews selected applications in areas of particular current interest like simulations of growth processes far from equilibrium, interfacial phenomena, quantum and classical fluids, polymers, quantum problems on lattices, and random systems. A new chapter on recent developments in the Monte Carlo simulation of condensed matter has been attached.