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The Fractal Geometry of Nature [Anglais] [Relié]

Benoit B. Mandelbrot
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Détails sur le produit

  • Relié: 460 pages
  • Editeur : W.H.Freeman & Co Ltd (18 novembre 1982)
  • Langue : Anglais
  • ISBN-10: 0716711869
  • ISBN-13: 978-0716711865
  • Dimensions du produit: 23,5 x 20,8 x 2,7 cm
  • Moyenne des commentaires client : 5.0 étoiles sur 5  Voir tous les commentaires (2 commentaires client)
  • Classement des meilleures ventes d'Amazon: 54.047 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 
5.0 étoiles sur 5 A fractal is by definition 1 juillet 2011
Par bernie
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 
5.0 étoiles sur 5 Excellent ouvrage sur les fractales 25 février 2013
Par srl38
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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Commentaires client les plus utiles sur (beta) 4.4 étoiles sur 5  34 commentaires
60 internautes sur 65 ont trouvé ce commentaire utile 
5.0 étoiles sur 5 A seminal work 7 septembre 2005
Par Arturo Ortiz Tapia - Publié sur
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.
137 internautes sur 157 ont trouvé ce commentaire utile 
2.0 étoiles sur 5 A review on the book -- not on Mandelbrot 26 août 2002
Par Assela Pathirana - Publié sur
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.
88 internautes sur 112 ont trouvé ce commentaire utile 
3.0 étoiles sur 5 beauty does not equate to depth or thoroughness 28 février 2000
Par Bruce D. Wilner - Publié sur
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 
5.0 étoiles sur 5 The premiere primer on the subject of fractal geometry. 31 juillet 1998
Par Un client - Publié sur
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.
11 internautes sur 13 ont trouvé ce commentaire utile 
5.0 étoiles sur 5 This book started it all 15 juin 1998
Par Un client - Publié sur
This book is by far the very root by which chaos and the interrelations with that of nature came into existance. Mandelbrot describes chaos and dynamical systems as applied in the real world, and how fractals do appear in nature. Mandelbrot gets an A+.
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