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Chaos and Fractals: The Mathematics Behind the Computer Graphics
Edited by: Robert L. Devaney, Boston University, MA, and Linda Keen, Herbert H. Lehman College (CUNY), Bronx, NY
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Proceedings of Symposia in Applied Mathematics
1989; 148 pp; hardcover
Volume: 39
ISBN-10: 0-8218-0137-6
ISBN-13: 978-0-8218-0137-6
List Price: US$34
Member Price: US$27.20
Order Code: PSAPM/39
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This item is also sold as part of the following set: CHAOSSET

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

  • R. L. Devaney -- Overview: Dynamics of simple maps
  • P. J. Holmes -- Nonlinear oscillations and the Smale horseshoe map
  • K. T. Alligood and J. A. Yorke -- Fractal basin boundaries and chaotic attractors
  • L. Keen -- Julia sets
  • B. Branner -- The Mandelbrot set
  • J. Harrison -- Introduction to fractals
  • M. F. Barnsley -- Iterated function systems
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