**Proceedings of Symposia in Applied Mathematics**

Volume: 39;
1989;
148 pp;
Hardcover

MSC: Primary 58;
Secondary 26; 30; 51

Print ISBN: 978-0-8218-0137-6

Product Code: PSAPM/39

List Price: $36.00

Individual Member Price: $28.80

**Electronic ISBN: 978-0-8218-9254-1
Product Code: PSAPM/39.E**

List Price: $36.00

Individual Member Price: $28.80

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# Chaos and Fractals: The Mathematics Behind the Computer Graphics

Share this page *Edited by *
*Robert L. Devaney; Linda Keen*

This volume contains the proceedings of a highly successful AMS Short Course on Chaos and Fractals, held during the AMS Centennial Celebration in Providence, Rhode Island in August 1988. Chaos and fractals have been the subject of great interest in recent years and have proven to be useful in a variety of areas of mathematics and the sciences. The purpose of the short course was to provide a solid introduction to the mathematics underlying the notions of chaos and fractals. The papers in this book range over such topics as dynamical systems theory, Julia sets, the Mandelbrot set, attractors, the Smale horseshoe, calculus on fractals, and applications to data compression. The authors represented here are some of the top experts in this field. Aimed at beginning graduate students, college and university mathematics instructors, and non-mathematics researchers, this book provides readable expositions of several exciting topics of contemporary research.

# Table of Contents

## Chaos and Fractals: The Mathematics Behind the Computer Graphics

- Table of Contents vii8 free
- Preface ix10 free
- Overview: Dynamics of Simple Maps 112 free
- Nonlinear Oscillations and the Smale Horseshoe Map 2538
- Fractal Basin Boundaries and Chaotic Attractors 4154
- Julia Sets 5774
- The Mandelbrot Set 7596
- Introduction to Fractals 107132
- Iterated Function Systems 127152
- Index 145172