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Chaos, fractals and dynamics (videotape)
Devaney R., Science Television Co., New York, NY, 1989. Type: Book (9781878310002)
Date Reviewed: Oct 1 1993
Comparative Review

The videotape begins with a slow introduction to the main topic--dynamical systems, iteration, and chaos. The second part shows Julia sets and in particular a few scenes of the development of the Julia sets of analytic functions when parameters vary slowly. The basic mathematics is only hinted at; the short segments all needed supercomputers for production.

The book is quite different. It starts out at a level suitable for interested high school sophomores and develops all the mathematics needed to produce black-and-white computer graphics of Julia sets, the Mandelbrot set, and the Sierpinski fractal triangle, with ample explanations. Devaney provides a set of simple programs for this (written in QBasic). The programs work (I tried them all out; one probably needs a minimum of 20 MHz to work reasonably quickly), and ample suggestions for further program development are included. The graphics are all in black and white; adding the usual color is not difficult. I recommend this book highly for the novice; it contains an amazing amount of good mathematical introduction for such a slim volume. The bibliography is restricted to introductory books.

Reviewer:  H. Guggenheimer Review #: CR117175
Comparative Review
This review compares the following items:
  • Chaos, fractals and dynamics (videotape):
  • Chaos, fractals, and dynamics:
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    Fractals (I.3.7 ... )
     
     
    Geometrical Problems And Computations (F.2.2 ... )
     
     
    Computational Geometry And Object Modeling (I.3.5 )
     
     
    General (G.1.0 )
     
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