ix, 148 pages, 16pp of color plates, text-figures throughout, index. Or cl boards in dust-jacket. This volume contains the introductory survey lectures delivered in the American Mathematical Society Short Course on August 6-7, 1988. Following Robert L Devaney's Overview: Dynamics of Simple Maps; the lectures include: Nonlinear oscillations and the Smale Horseshoe Map, by Philip J Holmes; Fractal basin boundaries and chaotic attractors, by Kathleen T Alligood and James A Yorke; Julia sets, by Linda Keen; The Mandlebrot set, by Bodil Branner; Introduction to fractals, by Jenny Harrison; and Iterated function systems, by Michael F Barnsley. Size: 4to.

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Bibliographic Details

Title

Chaos and Fractals: The Mathematics Behind Computer Graphics. Proceedings of Symposia in Applied Mathematics Volume 39

Publisher

American Mathematical Society, Providence, RI

Publication Date

1988

Language

English

ISBN 10

0821801376

ISBN 13

9780821801376

Binding

Hard Cover

Edition

First Edition.

Condition

Near Fine

Dust Jacket Condition

Near Fine

Seller catalogs

Science, Technical & Mathematics

About this title

Synopsis

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.

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