書誌事項

Chaos and fractals : the mathematics behind the computer graphics

Robert L. Devaney and Linda Keen, editors ; Kathleen T. Alligood ... [et al.]

(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

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