Pictures of Julia and Mandelbrot Sets



The purpose of this book is to show how the computer can draw technically perfect pictures of Julia and Mandelbrot sets. All the definitions, results and formulas required will be stated. If you know what a complex rational function is, then you certainly have enough knowledge of mathematics to follow this account.

Contents

 * /Foreword/
 * /The Julia set and the Fatou domains/
 * /The Mandelbrot set/
 * /Julia and Mandelbrot sets for transcendental functions/
 * /Julia and Mandelbrot sets for non-complex functions/
 * /Landscapes/
 * /Quaternions/
 * /History/
 * /Postscript/
 * /References/
 * /Terminology/
 * /Computer programs/
 * /Favourite formulas/