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Market: Physicists, engineers, and advanced graduate students working with particle accelerators, storage rings, and colliders. This cogent, contemporary work by two preeminent Russian accelerator physicists details the physical processes limiting or assisting the performance of intense beams in particle accelerators. The authors apply statistical methods to the physics of stored beams and describe in rigorous detail a wide range of beam physics problems. These range from single particle dynamics, through the theory of linear coherent oscillations and cooling techniques, to the kinetic effects in intense beams and nonlinear collective phenomena.