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# The Fractal Geometry of Nature

Clouds are not spheres, mountains are not cones, and lightning 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.

Now that the field has expanded greatly with many active researchers, Mandelbrot presents the definitive overview of the origins ...more

Now that the field has expanded greatly with many active researchers, Mandelbrot presents the definitive overview of the origins ...more

Hardcover, 480 pages

Published
August 15th 1982
by Times Books
(first published 1977)

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Oct 19, 2009
Valerie
added it

I have to admit that this book has been sitting on my shelves half-read and gathering dust. Mandelbrot's a fairly good speaker (from what I've seen of him on documentaries), but a trying and tedious writer.

If you're looking for pretty pictures of fractals, there are some. If you're looking for the formula for the Mandelbrot set, it's here. If you want to understand the theory behind fractals, this is not the best introduction.

If you're looking for pretty pictures of fractals, there are some. If you're looking for the formula for the Mandelbrot set, it's here. If you want to understand the theory behind fractals, this is not the best introduction.

Nov 21, 2015
Ami Iida
rated it
it was amazing

Recommends it for:
chaos and fractal theory

Shelves:
chaos-and-fractals

the essential reading for chaos and fractal

**but the book is fractal**. Its structure, the way topics are introduced and developed, everything in it resembles a fractal. But the book is useful,

**very useful**: it has thousands of ideas. Most of them still unexplored. It asks many,

**many questions**and let you find the answers. If you are a researcher, you will fi ...more

Aug 31, 2015
Dr Marco Bitetto
rated it
it was amazing

Recommends it for:
College Engineering and Science majors...

Recommended to Dr Marco by:
A Friend

This is a well written book...

But, it is not for the mathematically intimidated...

Nevertheless, with some basic understanding of at

least a third year level of scientific and

engineering based mathematics, this book will prove

to be quite readable and understandable.

But, it is not for the mathematically intimidated...

Nevertheless, with some basic understanding of at

least a third year level of scientific and

engineering based mathematics, this book will prove

to be quite readable and understandable.

http://www.guardian.co.uk/artanddesig...

RIP. October 14 2010.

RIP. October 14 2010.

Jul 11, 2010
* Thelinker
added it

http://www.ted.com/talks/benoit_mande...

Here he talks at TED

Here he talks at TED

Beautiful in its unfolding

Insightful in its message

An essay to be enjoyed!

Insightful in its message

An essay to be enjoyed!

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Benoît B. Mandelbrot was a French mathematician, best known as the father of fractal geometry. He was Sterling Professor of Mathematical Sciences, Emeritus at Yale University; IBM Fellow Emeritus at the Thomas J. Watson Research Center; and Battelle Fellow at the Pacific Northwest National Laboratory. He was born in Poland, but his family moved to France when he was a child; he was a dual French a
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## Share This Book

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“Why is geometry often described as ""cold" and ""dry?" One reason lies in its inability to describe the shape of a cloud, a mountain, a coastline, or a tree. Clouds are not spheres, mountains are not cones, coastlines are not circles, and bark is not smooth, nor does lightning travel in a straight line.”
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“Weierstrass, Cantor, or Peano! In physics, an analogous development threatened since about 1800, since Laplace’s Celestial Mechanics avoided all illustration. And it is exemplified by the statement by P. A. M. Dirac (in the preface of his 1930 Quantum Mechanics) that nature’s “fundamental laws do not govern the world as it appears in our mental picture in any very direct way, but instead they control a substratum of which we cannot form a mental picture without introducing irrelevancies.” The wide and uncritical acceptance of this view has become destructive. In particular, in the theory of fractals “to see is to believe.”
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