Overview
- Authors:
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Heinz-Otto Peitgen
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Fachbereich Mathematik, Universität Bremen, Bremen 33, Germany
Department of Mathematics, University of California, Santa Cruz, Santa Cruz, USA
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Peter H. Richter
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Fachbereich Physik, Universität Bremen, Bremen 33, Germany
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Table of contents (15 chapters)
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Frontiers of chaos
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Special Sections
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- Heinz-Otto Peitgen, Peter H. Richter
Pages 23-26
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- Heinz-Otto Peitgen, Peter H. Richter
Pages 27-52
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- Heinz-Otto Peitgen, Peter H. Richter
Pages 53-55
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- Heinz-Otto Peitgen, Peter H. Richter
Pages 56-62
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- Heinz-Otto Peitgen, Peter H. Richter
Pages 63-92
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- Heinz-Otto Peitgen, Peter H. Richter
Pages 93-102
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- Heinz-Otto Peitgen, Peter H. Richter
Pages 103-124
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- Heinz-Otto Peitgen, Peter H. Richter
Pages 125-138
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Magnetism and Complex Boundaries
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Front Matter
Pages 129-138
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Special Sections
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- Heinz-Otto Peitgen, Peter H. Richter
Pages 139-141
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- Heinz-Otto Peitgen, Peter H. Richter
Pages 142-146
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References
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- Heinz-Otto Peitgen, Peter H. Richter
Pages 147-150
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About this book
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 perdition, its course continues to be plot ted . . . Any design undertaken with the straight line will be stillborn. Today we are witnessing the triumph of rationalist knowhow and yet, at the same time, we find ourselves confronted with emptiness. An esthetic void, des ert of uniformity, criminal sterility, loss of creative power. Even creativity is prefabricated. We have become impotent. We are no longer able to create. That is our real illiteracy. Friedensreich Hundertwasser Fractals are all around us, in the shape of a mountain range or in the windings of a coast line. Like cloud formations and flickering fires some fractals under go never-ending changes while others, like trees or our own vascular systems, retain the structure they acquired in their development. To non-scientists it may seem odd that such familiar things have recently become the focus of in tense research. But familiarity is not enough to ensure that scientists have the tools for an adequate understanding.
Reviews
"..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 and as such it works superbly...buy this book and enjoy it" Personal Computer World
"A literally wonder-ful book!" Physikalische Blätter
Authors and Affiliations
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Fachbereich Mathematik, Universität Bremen, Bremen 33, Germany
Heinz-Otto Peitgen
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Department of Mathematics, University of California, Santa Cruz, Santa Cruz, USA
Heinz-Otto Peitgen
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Fachbereich Physik, Universität Bremen, Bremen 33, Germany
Peter H. Richter