Introduction to Fractals and Chaos:Mathematics and Meaning

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Fractals and Chaos is an exploration of discrete dynamical systems, using primarily the concepts of precalculus and the technology of the TI-83. Required mathematical and technological skills are reviewed or developed to give hands-on experience with the ideas of chaos theory and fractal geometry, supported by a set of graded exercises for every 4-6 pages of text. The last chapter, unusual in a math course, is a review of some of the applications of chaos theory in the sciences, humanities and philosophy.

 

Table of Contents

• Chapter 1 Introduction
• Chapter 2 Fractals
• Chapter 3 Orbit Analysis
• Chapter 4 The Road to Chaos
• Chapter 5 Functions of Complex Numbers
• Chapter 6 Julia and Mandelbrot Sets
• Chapter 7 The Mathematics of Chaos
• Chapter 8 The Meaning of Chaos