The book aims to be an introduction to the theory of dynamical systems on the graduate level. It covers all classical topics of the subject, including structural stability, Lyapunov exponents, the horse-shoe dynamics, hyperbolic and symbolic dynamics, chaotic attractors, entropy, ergodicity and invariant measures. The particular emphasis is given to the concept of chaos and the various mathematical tools for its understanding. The exposition is clear and concise, yet perfectly rigorous. Many simple examples and a number of exercises serve excellently to the purpose of the book to be an elementary introduction. The only minor setback seems to be a somewhat lesser quality of the print.