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The Beauty of Fractals : Images of Complex Dynamical Systems

Author: Heinz-Otto Peitgen; Peter H Richter
Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 1986.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
In 1953 I realized that the straight line leads to the downfall of mankind. But the straight line has become an absolute tyranny. The straight line is something cowardly drawn with a rule, without thought or feeling; it is the line which does not exist in nature. And that line is the rotten foundation of our doomed civilization. Even if there are places where it is recognized that this line is rapidly leading to  Read more...
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Additional Physical Format: Printed edition:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Heinz-Otto Peitgen; Peter H Richter
ISBN: 9783642617171 3642617174 9783642617195 3642617190
OCLC Number: 913437925
Description: 1 online resource (XII, 202 pages) : online resource
Contents: Frontiers of Chaos --
Special Sections --
1 Verhulst Dynamics --
2 Julia Sets and Their Computergraphical Generation --
3 Sullivan's Classification of Critical Points --
4 The Mandelbrot Set --
5 External Angles and Hubbard Trees --
6 Newton's Method for Complex Polynomials: Cayley's Problem --
7 Newton's Method for Real Equations --
8 A Discrete Volterra-Lotka System --
Magnetism and Complex Boundaries --
Special Sections --
9 Yang-Lee Zeros --
10 Renormalization --
References --
Invited Contributions --
Fractals and the Rebirth of Iteration Theory --
Julia Sets and the Mandelbrot Set --
Freedom, Science, and Aesthetics --
Refractions of Science into Art --
Do it Yourself --
Documentation.
Responsibility: by Heinz-Otto Peitgen, Peter H. Richter.

Abstract:

A total of 184 illustrations - including 88 full-colour pictures of Julia sets - are suggestive of a coffee-table book.However, the invited contributions which round off the book lend the text the  Read more...

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"..a rare and extraordinary book...anyone who has ever explored the intricate folds of the Mandelbrot set will want this book and will be delighted by it...above all, a celebration of fractal forms Read more...

 
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