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The Fractal Geometry of Nature (Anglais) Relié – 18 novembre 1982

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Détails sur le produit

  • Relié: 460 pages
  • Editeur : W.H.Freeman & Co Ltd; Édition : 1 (18 novembre 1982)
  • Langue : Anglais
  • ISBN-10: 0716711869
  • ISBN-13: 978-0716711865
  • Dimensions du produit: 20,9 x 4 x 22,9 cm
  • Moyenne des commentaires client : 5.0 étoiles sur 5  Voir tous les commentaires (2 commentaires client)
  • Classement des meilleures ventes d'Amazon: 50.305 en Livres anglais et étrangers (Voir les 100 premiers en Livres anglais et étrangers)
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0 internautes sur 1 ont trouvé ce commentaire utile  Par bernie le 1 juillet 2011
Format: Relié
A set for which the Hausdorff Besicovitch dimension strictly exceeds the topological dimension.

The definition of a fractal pretty much sets the tone for the book. There are mostly definitions and monochrome diagrams to explain the more classical fractals. The book does shows some practical geometric uses for fractals but I would not let it get anywhere near my Koch Curve.

I am not being kind to this book as there is a color section in the center. That shows "The Great Wave" by Katsushika Hokusai (1760-12849.) And an extensive reference section.

The book its self could easily be used as a text book for school.

Fractals: Hunting the Hidden Dimension (Blu-ray) [Blu-ray]

An Eye For Fractals: A Graphic And Photographic Essay (Studies in Nonlinearity)
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0 internautes sur 2 ont trouvé ce commentaire utile  Par srl38 le 25 février 2013
Format: Relié Achat vérifié
Ca faisait des années que je cherchais cet ouvrage et là je l'ai trouvais
Je le lis en ce moment
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64 internautes sur 70 ont trouvé ce commentaire utile 
A seminal work 7 septembre 2005
Par Arturo Ortiz Tapia - Publié sur
Format: Relié
Very few books have so many quotes as this one. I am not sure if there is much left to be said, but I know this. For those professionals who still think that fractals are "spurious solutions coming from the discretization of differential equations", should take a closer look to this book. Not only won't harm, but also will show many interesting features about the nature of fractals and the "fractality" of nature, besides the fact that many of them come from *difference* equations, which are not necessarily related to the discretization of a differential equation. This book is based on serious work from many well-reputed mathematicians before Mandelbrot, e.g., Haussdorff, Lyapunov and some others. Although the book does talk about the mathematics behind fractals (wouldn't be so much a book of mathematics if it didn't, but also a philosophical one) and the necessity of coining some new mathematical terms, it also contains so much about history of mathematics, the path that leads towards fractals. As I said, the book is many times quoted, but (without trying to point a firing, accusing finger), there is a difference in quoting a book because it is famous, and another actually reading it, and having enlightenment for our own sake. Certainly I think is a "must-have-it" for most mathematicians, for many physicists, philosophers of science and engineers, but also it wouldn't be a bad guest in the library of any layman, provided the layman overcomes for some minutes the initial "classical" fear to mathematics. I would say this layman won't regret it at all. Mandelbrot does explain most of the concepts practically "ab initio", from the very scratch, including etymology and history as I previously said. One little thing against this book though: it doesn't have so many color plates as some other books on the subject, but it does have all the needed graphics to grasp the concepts.
148 internautes sur 170 ont trouvé ce commentaire utile 
A review on the book -- not on Mandelbrot 26 août 2002
Par Assela Pathirana - Publié sur
Format: Relié
Mandelbrot is the person who introduced the fractal theory to the world in its present form. Many fields of science including geophysics have gained from fractals. However, this is not the book one should read to gain knowledge on the subject.
It is not an easily readable book. 1. It is not well-organized 2. It does not cover necessary things in detail 3. Frustratingly long in some parts. Instead the books: Feder, Fractals; Turcotte, Fractals and Chaos in Geology and Geophysics can be recommended.
Fractal geometry may be interesting as a historical book, after one gains a sufficient knowledge on fractals.
94 internautes sur 120 ont trouvé ce commentaire utile 
beauty does not equate to depth or thoroughness 28 février 2000
Par Bruce D. Wilner - Publié sur
Format: Relié
Mandelbrot's update of his classic work is certainly eye-catching. However, just like its forerunner, it fails to answer the simplest questions, including, "How do I calculate the fractal dimension of this curve?" and "How can I manage to plot the Julia set for myself?" The answers to such questions have to be gleaned by the intelligent--and mathematically sophisticated--reader for himself. (One sees this phenomenon all the time in "advanced" mathematics books. It means that either [a] the author has his head stuck in the clouds and expects the reader to use divination, or [b] he prefers to keep his readers ignorant.) For a much more practical and rewarding discussion, read "The Science of Fractal Images" edited by Peitgen and Saupe. The math is clear; the algorithms are plainly stated for the PC enthusiast with some simple programming skills; and the color plates are astounding.
22 internautes sur 27 ont trouvé ce commentaire utile 
The premiere primer on the subject of fractal geometry. 31 juillet 1998
Par Un client - Publié sur
Format: Relié
This tome is the immortal classic that introduces fractals to the layman and scholar alike. The mechanics and beauty of fractals are presented in a very readable manner that is sure to pique the interest of anyone seeking a deterministic, yet almost supernaturally pervasive paradigm of the structure of the universe. This book fundamentally affected my personal outlook on nature irrecovably. I would advise leaving it on the coffee table for your children to examine.
20 internautes sur 25 ont trouvé ce commentaire utile 
A dated but still fascinating book 26 août 2002
Par Charles Madden - Publié sur
Format: Relié
This was the book that first caught my attention. It was the cover diagram: a figure the like of which I had never seen. One thing led to another until I finally wrote my own application of fractals, Fractals in Music.
Mandelbrot is an odd character, but a superb thinker. His book does not offer a lot of science, but rather a compelling view of how this fascinating and growing topic developed. I recommend it highly.
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