This book is devoted to the quickly developing area of high intensity particle beam physics. Beam emittance growth, halo formation and chaotic particle motion are the main areas of research in the new intense particle accelerators. Knowledge of those phenomena is crucial for the design of particle accelerators with space-charge dominated beams. This important book provides a new, self-consistent description of high brightness particle beams with essentially nonlinear space-charge forces. Halo-free beam transport and acceleration are treated as a problem of proper matching of nonuniform beams with the structure. New focusing channels with suppressed emittance growth are discussed.The book will be useful for researchers and engineers dealing with space-charge dominated beams and for graduate and undergraduate students who are starting to work in this field.