This book provides an introduction to cellular automata and lattice Boltzmann techniques. It begins with a chapter introducing the basic concepts of this developing field; a second chapter describes methods used in cellular automata modeling. Following chapters discuss the statistical mechanics of lattice gases, diffusion phenomena, reaction-diffusion processes and nonequilibrium phase transitions. A final chapter looks at other models and applications, such as wave propagation and multiparticle fluids. With a pedagogic approach, the volume focuses on the use of cellular automata in the framework of equilibrium and nonequilibrium statistical physics, emphasizing application-oriented problems such as fluid dynamics and pattern formation. The book contains many examples and problems as well as a glossary and a detailed bibliography. This will be a valuable book for graduate students and researchers working in statistical physics, solid state physics, chemical physics and computer science.