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Beauty of Fractals : Images of Complex Dynamical Systems by Peter H. Richter and Heinz-Otto Peitgen (1986, Hardcover)
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Brenham Book Company (560)
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The Beauty of Fractals: Images of Complex Dynamical Systems
- Buy It NowThe Beauty of Fractals: Images of Complex Dynamical Systems
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About this product
Product Identifiers
PublisherSpringer Berlin / Heidelberg
ISBN-103540158510
ISBN-139783540158516
eBay Product ID (ePID)78845099
Product Key Features
Number of PagesXii, 202 Pages
Publication NameBeauty of Fractals : Images of Complex Dynamical Systems
LanguageEnglish
Publication Year1986
SubjectGeometry / General, Logic
TypeTextbook
AuthorPeter H. Richter, Heinz-Otto Peitgen
Subject AreaMathematics
FormatHardcover
Dimensions
Item Weight38.8 Oz
Item Length10.9 in
Item Width8.3 in
Additional Product Features
Intended AudienceScholarly & Professional
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, "..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 Bltter, "..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
Dewey Edition19
TitleLeadingThe
Number of Volumes1 vol.
IllustratedYes
Dewey Decimal516
Table Of ContentFrontiers 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.
SynopsisIn 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., 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.
LC Classification NumberQA8.9-10.3
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- 15 Nov, 2020
All about fractals with images
Good information about fractals with great accompanying images.Verified purchase: YesCondition: Pre-owned
