Chaos and fractals : the mathematics behind the computer graphics
著者
書誌事項
Chaos and fractals : the mathematics behind the computer graphics
（Proceedings of symposia in applied mathematics, v. 39 . AMS short course lecture notes）
American Mathematical Society, c1989
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注記
"Lecture notes prepared for the American Mathematical Society Short Course, Chaos and Fractals: the Mathematics behind the Computer Graphics, held in Providence, Rhode Island, August 6-7, 1988"--T.p. verso
"The course was called Chaos and Fractals: The Mathematics Behind the Computer Graphics and was organized at the Centennial Meeting of the American Mathematical Society held in Providence, RI, on August 6-7, 1988" -- Pref
Includes bibliographical references and indexes
収録内容
- 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
内容説明・目次
内容説明
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.
目次
Overview: Dynamics of simple maps by R. L. Devaney Nonlinear oscillations and the Smale horseshoe map by P. J. Holmes Fractal basin boundaries and chaotic attractors by K. T. Alligood and J. A. Yorke Julia sets by L. Keen The Mandelbrot set by B. Branner Introduction to fractals by J. Harrison Iterated function systems by M. F. Barnsley.
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