This textbook is a self-contained and easy-to-read introduction to ergodic theory and the
theory of dynamical systems with a particular emphasis on chaotic dynamics. This book contains
a broad selection of topics and explores the fundamental ideas of the subject. Starting with
basic notions such as ergodicity mixing and isomorphisms of dynamical systems the book then
focuses on several chaotic transformations with hyperbolic dynamics before moving on to topics
such as entropy information theory ergodic decomposition and measurable partitions. Detailed
explanations are accompanied by numerous examples including interval maps Bernoulli shifts
toral endomorphisms geodesic flow on negatively curved manifolds Morse-Smale systems
rational maps on the Riemann sphere and strange attractors. Ergodic Theory and Dynamical
Systems will appeal to graduate students as well as researchers looking for an introduction to
the subject. While gentle on the beginning student the book also contains a number of comments
for the more advanced reader.
