Description

Book Synopsis
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.

Table of Contents
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.

Chaos and Fractals The Mathematics Behind the

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    A Hardback by American Mathem American Mathem

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      View other formats and editions of Chaos and Fractals The Mathematics Behind the by American Mathem American Mathem

      Publisher: MP-AMM American Mathematical
      Publication Date: 12/30/1989 12:00:00 AM
      ISBN13: 9780821801376, 978-0821801376
      ISBN10: 0821801376

      Description

      Book Synopsis
      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.

      Table of Contents
      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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