ABSTRACT

Revised and updated, this second edition provides an accessible introduction to both chaotic dynamics and fractal geometry for readers with a calculus background. This edition contains new and expanded material on fractals that illustrates how to obtain computer renderings of them and covers Julia and Mandelbrot sets. It also includes a substantial number of new exercises at the end of each section and MATLAB programs in the appendix, with selected solutions at the back of the book.

chapter 1|78 pages

Periodic Points

chapter 2|44 pages

One-Dimensional Chaos

chapter 3|56 pages

Two-Dimensional Chaos

chapter 4|42 pages

Systems of Differential Equations

chapter 5|48 pages

Introduction to Fractals

chapter 6|42 pages

Creating Fractals Sets