Abstract

In this book we generate graphic images using the software Mathematica thus providing a gentle and enjoyable introduction to this rather technical software and its graphic capabilities.
The programs we use for generating these graphics are easily adaptable to many variations.
These graphic images are enhanced by introducing a variety of different coloring techniques.
Detailed instructions are given for the construction of some interesting 2D and 3D fractals using iterated functions systems as well as the construction of many different types of Julia sets and parameter sets such as the Mandelbrot set.
The mathematics underlying the theory of Iterated function systems and Julia sets is given an intuitive explanation, and references are provided for more detailed study.
· Brilliant Graphic images
· Interesting Introduction to Mathematica for Beginners
· Easy constructions
· A variety of Coloring Techniques
· Programs Easily Adaptable to Many Variations
· Constructions useful for Dynamics and Fractals Courses
(...) Getz and Helmstedt have delivered not merely a phrase book for the passing tourist but an exhortation to bold imagination for the fledgling poet. (...) the authors strike a good balance between computer platform particular, elementary mathematics, and principles of design aesthetics. Summing Up: Recommended. All levels. -- Reviewed in 2005 jun CHOICE by D. V. Feldman, University of New Hampshire.