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Chaos and Fractals: An Elementary Introduction

Chaos and Fractals is a clearly written back that presents the concepts of chaos and fractals using essentially high school algebra.
The author concentrates on the classical iterated function systems: the logistic map. The hallmarks of chaos: a deterministic system with aperiodic bounded orbits and sensitive dependence on initial conditions are demonstrated. The introduction of fractals and different concepts of dimensions. There is an enjoyable discussion of Julia sets and the Mandelbrot set. The relationship between chaos and fractals is hinted at and there is a superficial introduction to differential equations.

Overall this is, as the title expresses, an elementary introduction to these interesting topics.

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Categories: books, Mathematics
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