Heinz-Otto Peitgen, Peter H. Richter

The Beauty of Fractals

Images of Complex Dynamical Systems

• Broschiertes 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 / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-642-61719-5
• Softcover reprint of the original 1st ed. 1986
• Seitenzahl: 216
• Erscheinungstermin: 14. Oktober 2011
• Englisch
• Abmessung: 277mm x 210mm x 12mm
• Gewicht: 534g
• ISBN-13: 9783642617195
• ISBN-10: 3642617190
• Artikelnr.: 36115078

Inhaltsangabe

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