Heinz-Otto Peitgen, Peter H. Richter

The Beauty of Fractals

Images of Complex Dynamical Systems

• Gebundenes Buch

Produktbeschreibung

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 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.

Produktdetails

• Verlag: Springer, Berlin
• 1986.
• Seitenzahl: 202
• Englisch
• Abmessung: 285mm
• Gewicht: 1090g
• ISBN-13: 9783540158516
• ISBN-10: 3540158510
• Artikelnr.: 02797774

Inhaltsangabe

Frontiers of Chaos.- Special Sections.- 1 Verhulst Dynamics.- 2 Julia Sets and Their Computergraphical Generation.- 3 Sullivanâs Classification of Critical Points.- 4 The Mandelbrot Set.- 5 External Angles and Hubbard Trees.- 6 Newtonâs Method for Complex Polynomials: Cayleyâs Problem.- 7 Newtonâs 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.

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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.

Rezensionen

"..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