This book is an introductory course to accelerator physics at the level of graduate students. It has been written for a large audience which includes users of accelerator facilities, accelerator physicists and engineers, and undergraduates aiming to learn the basic principles of construction, operation and applications of accelerators. The new concepts of dynamical systems developed in the last 20 years give the theoretical setting to analyze the stability of particle beams in acclerator. In this book a common language to both accelerator physics and dynamical systems is integrated and...