Chaos and Fractals
The Mathematics Behind the Computer Graphics
1989
American Mathematical Society (Verlag)
9780821801376 (ISBN)
American Mathematical Society (Verlag)
9780821801376 (ISBN)
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Contains the proceedings of the AMS Short Course on Chaos and Fractals, held during the AMS Centennial Celebration in Providence, Rhode Island in August 1988. This title covers topics such as dynamical systems theory, Julia sets, the Mandelbrot set, attractors, the Smale horseshoe, calculus on fractals, and applications to data compression.
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.
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.
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.
| Erscheint lt. Verlag | 30.12.1989 |
|---|---|
| Reihe/Serie | Proceedings of Symposia in Applied Mathematics |
| Zusatzinfo | illustrations |
| Verlagsort | Providence |
| Sprache | englisch |
| Gewicht | 560 g |
| Themenwelt | Mathematik / Informatik ► Informatik ► Grafik / Design |
| Mathematik / Informatik ► Mathematik ► Angewandte Mathematik | |
| Mathematik / Informatik ► Mathematik ► Geometrie / Topologie | |
| ISBN-13 | 9780821801376 / 9780821801376 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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