TY - BOOK AU - Brin, Michael AU - Brin, Michael AU - Stuck, Garrett TI - Introduction to dynamical systems SN - 9781107538948 PY - 2002/// CY - Cambridge PB - Cambridge University Press KW - Complex dynamics KW - Ergodic theory KW - Hyperbolic dynamics KW - Symbolic dynamics KW - Mathematics N1 - Bibliography 230-236p.; Index 237-247p N2 - 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 ER -