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This is an excellent textbook for anyone who is taking a course in Dynamical Systems, or someone who has read one of the numerous popular maths books on chaos and wants to break into the mathematics of the subject. The course starts fairly gently, but requires an understanding of analysis. Concepts are presented lucidly and includes plenty of exercises, complete with solutions. The second part of the book introduces modern results, and the famous examples of dynamical systems, such as the Lorenz attractor, Smale's solenoid and homoclinic tangles. The book serves as a good introduction to the modern theory of dynamical systems and leads onto the author's more advanced book, Introduction to the Modern Theory of Dynamical Systems.
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