The beauty of fractals : images of complex dynamical systems

H.-O. Peitgen, P.H. Richter

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.

「Nielsen BookData」より

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 this 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.

「Nielsen BookData」より

[目次]

  • 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.

「Nielsen BookData」より

[目次]

  • 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.

「Nielsen BookData」より

この本の情報

書名 The beauty of fractals : images of complex dynamical systems
著作者等 Peitgen, Heinz-Otto
Richter, P. H.
Richter Peter H.
出版元 Springer-Verlag
刊行年月 c1986
版表示 Softcover reprint of the original 1st ed. 1986
ページ数 xii, 199 p., [1] leaf of plates
大きさ 29 cm
ISBN 0387158510
3540158510
9783642617195
NCID BA00142814
※クリックでCiNii Booksを表示
言語 英語
出版国 ドイツ
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