The Beauty of Fractals: Images of Complex Dynamical Systems
by Heinz-Otto Peitgen, Peter H. Richter
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Description
Now approaching its tenth year, this hugely successful book presents an unusual attempt to publicise the field of Complex Dynamics. The text was originally conceived as a supplemented catalogue to the exhibition "Frontiers of Chaos", seen in Europe and the United States, and describes the context and meaning of these fascinating images. A total of 184 illustrations - including 88 full-colour pictures of Julia sets - are suggestive of a coffee-table book. However, the invited contributions show more which round off the book lend the text the required formality. Benoit Mandelbrot gives a very personal account, in his idiosyncratic self-centred style, of his discovery of the fractals named after him and Adrien Douady explains the solved and unsolved problems relating to this amusingly complex set. show lessTags
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Indeholder "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. Newtons'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", "Benoît B. Mandelbrot: Fractals and the Rebirth of Iteration Theory", "Adrien Douady: Julia Sets and the Mandelbrot Set", "Gert Eilenberger: Freedom, Science, and Aesthetics", "Herbert W. Franke: Refractions of show more Science into Art", "Do It Yourself", "Documentation", "Index".
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Dec 28, 2014 (Edited)Danish
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13 Works 832 Members
1+ Work 254 Members
Common Knowledge
- Original title
- The Beauty of Fractals: Images of Complex Dynamical Systems
- Original publication date
- 1986
- First words
- Preface
Fractals are all around us, in the shape of a mountain range or in the winding of a coast line.
FRONTIERS OF CHAOS
Science and art: Two complementary ways of experiencing the natural world - the one analytic, the other intuitive. We have become accustomed to seeing
them as opposite poles, yet don't they depen... (show all)d on one another? The thinker, trying to penetrate natural phenomena with his understanding, seeking to reduce
all complexity to a few fundamental laws - isn't he also the dreamer plunging himself into the richness of forms and seeing himself as part of the eternal play of natural events? - Original language
- English
Classifications
Statistics
- Members
- 254
- Popularity
- 128,406
- Reviews
- 1
- Rating
- (3.90)
- Languages
- English, German, Italian
- Media
- Paper, Ebook
- ISBNs
- 5
- ASINs
- 1
