Synopsis
This textbook is intended to introduce the reader to topics in both dynamical systems and mathematical thinking. In particular, the authors emphasize those portions of mathematical analysis necessary for understanding the intricacies of a discrete dynamical system. The organizing principle is the development of an understanding of the parametrized family of functions h(x)=rx(1-x). The readers should have some background in calculus, although they need not have an extensive background in proof-based mathematics. Students will learn to understand periodic points, stable sets, bifurcations, symbolic dynamics and chaos.
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