Introduction to Dynamical Systems

This book provides a broad introduction to the subject of dynamical systems suitable for a one or two-semester graduate course. In the first chapter the authors introduce over a dozen examples and then use these examples throughout the book to motivate and clarify the development of the theory. Topics include topological dynamics symbolic dynamics ergodic theory hyperbolic dynamics one-dimensional dynamics complex dynamics and measure-theoretic entropy. The authors top off the presentation with some beautiful and remarkable applications of dynamical systems to areas such as number theory data storage and internet search engines.