The theory of dynamical systems is a major mathematical discipline closely intertwined with all main areas of mathematics. Its concepts, methods and paradigms have greatly stimulated research in many sciences and given rise to the vast new area variously called applied dynamics, nonlinear science, or chaos theory. This elegant introduction to the subject combines mathematical rigor with copious examples of important applications, covering topics ranging from Newtonian mechanics to coding theory. It will be a valuable first textbook for senior undergraduate and beginning graduate students of mathematics, physics, and engineering.
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Anatole Katok is Raymond N. Shibley Professor of Mathematics at Pennsylvania State University.
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