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The fractal geometry of nature

Author: Benoit B Mandelbrot
Publisher: San Francisco : W.H. Freeman, [1982] ©1982
Edition/Format:   Print book : English : Revised editionView all editions and formats
Summary:
Clouds are not spheres, mountains are not cones, and lightening does not travel in a straight line. The complexity of nature's shapes differs in kind, not merely degree, from that of the shapes of ordinary geometry, the geometry of fractal shapes.
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Document Type: Book
All Authors / Contributors: Benoit B Mandelbrot
ISBN: 0716711869 9780716711865
OCLC Number: 7876824
Notes: Revised version of author's 1977 work, "Fractals: Form, Chance and Dimension."
Description: 460 pages, 1 unnumbered leaf of plates : illustrations (some color) ; 24 cm
Contents: I. Introduction --
II. Three classic fractals, tamed --
III. Galaxies and eddies --
IV. Scaling fractals --
V. Nonscaling fractals --
VI. Self-mapping fractals --
VII. Randomness --
VIII. Stratified random fractals --
IX. Fractional Brown fractals --
X. Random tremas: texture --
XI. Miscellany --
XII. Of men and ideas.
Responsibility: Benoit B. Mandelbrot, International Business Machines, Thomas J. Watson Research Center.
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Abstract:

Clouds are not spheres, mountains are not cones, and lightening does not travel in a straight line. The complexity of nature's shapes differs in kind, not merely degree, from that of the shapes of ordinary geometry, the geometry of fractal shapes.

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"A rarity: a picture book of sophisticated contemporary research ideas in mathematics." --Douglas Hofstadter, author of Godel, Escher, Bach

 
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