Cover image for Chaos and fractals : the mathematics behind the computer graphics
Title:
Chaos and fractals : the mathematics behind the computer graphics
Author:
Devaney, Robert L., 1948-
Publication Information:
Providence, RI : American Mathematical Society, [1989]

©1989
Physical Description:
ix, 148 pages ; 26 cm.
General Note:
"Synopses of the talks and lecture notes ... published in the April 1988 issue of the Notices of the American Mathematical Society on pages 597-599 and are reprinted here."
Language:
English
Contents:
Overview : dynamics of simple maps / Robert L. Devaney -- Nonlinear oscillations and the Smale horseshoe map / Philip J. Holmes -- Fractal basin boundaries and chaotic attractors / Kathleen T. Alligood and James A. Yorke -- Julia Sets / Linda Keen -- The Mandelbrot set / Bodil Branner -- Introduction to fractals / Jenny Harrison -- Iterated function systems / Michael F. Barnsley.
ISBN:
9780821801376
Format :
Book

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T385 .C454 1989 Adult Non-Fiction Central Closed Stacks
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Summary

Summary

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

Overview: Dynamics of simple mapsR. L. Devaney
Nonlinear oscillations and the Smale horseshoe mapP. J. Holmes
Fractal basin boundaries and chaotic attractorsK. T. Alligood and J. A. Yorke
Julia setsL. Keen
The Mandelbrot setB. Branner
Introduction to fractalsJ. Harrison
Iterated function systemsM. F. Barnsley