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Fractal Geometry of Nature by Benoit…
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Fractal Geometry of Nature (original 1977; edition 1993)

by Benoit Mandelbrot

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898324,147 (3.88)6
The Essential Guide that Introduced Fractals to the WorldExplore the wondrously complex repeating shapes of the natural world in The Fractal Geometry of Nature. Written in a style that is accessible to a wide audience, computer scientist, professor, mathematician, economist, and visionary Benoit B Mandelbrot's fascinating work has inspired popular interest in the geometry inherent in the natural world.Unlike the squares, circles, spheres, and cones of fundamental geometry, nature has rough edges and no straight lines or perfect curves. Mandelbrot observed that, even with this roughness, there still exists a kind of symmetry, which he dedicated his work to document and study. This became the basis for his development of a new kind of geometry; indeed, he coined the term "fractal."Mandelbrot spent 35 years with IBM, which allowed him access to the level of computing power that would enable him to manipulate computer-generated images and develop his theory of a geometry found throughout our natural environment. He was among the first to use computer graphics to illustrate and test these kinds of concepts, demonstrating that natural phenomena which appear to be rough or chaotic actually have a certain degree of order and predictability. This definitive overview builds on Mandelbrot's 1977 work, Fractals: Form, Chance and Dimension (also published by Echo Point Books), revealing an in depth look at this still-emerging field. Richly illustrated and presented in an engaging manner which embraces geometric and visual dimensions interspersed with aspects of theory, this book will inspire curiosity and wonder in artists, mathematicians and naturalists alike.… (more)
Member:ErkDemon
Title:Fractal Geometry of Nature
Authors:Benoit Mandelbrot
Info:W H Freeman & Co, New York, New York, U.S.A. (1993), Hardcover
Collections:Your library
Rating:****
Tags:Mandelbrot Set, Julia Set

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The Fractal Geometry of Nature by Benoit B. Mandelbrot (1977)

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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. To describe such shapes, this author conceived and developed a new geometry, the geometry of fractal shapes. This book is based on his highly acclaimed earlier work, but has much broader and deeper coverage and more extensive illustrations,
1 vote paamember | Jan 13, 2016 |
I read this in high school, and finally picked up a copy many years later when I wandered across it in a used bookstore. To be honest, though, this is one of the books that sits on my shelf because a mathematician has to have a copy of it, not because it is of any interest to me. There's too much fluff and belaboring here, and not enough clear explanation. For example, there is a color plate of a computer-generated planet, but no explanation of how it was created. "We can do this", but not much "here's how this is done." It left me frustrated in high school, and looking through it since then has done nothing to improve my opinion. ( )
1 vote prosfilaes | Dec 4, 2010 |
Well, it's a classic -- and Mandelbrot's idea of "fractals" is certainly a powerful one. I just wish he had decided to work with a co-author on this one. James Gleick and Ivars Peterson do a much better job of describing the science of fractals, IMHO. Kudos to Dr. Mandelbrot for discovering this new world, though! ( )
1 vote FlyByPC | Feb 12, 2008 |
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The Essential Guide that Introduced Fractals to the WorldExplore the wondrously complex repeating shapes of the natural world in The Fractal Geometry of Nature. Written in a style that is accessible to a wide audience, computer scientist, professor, mathematician, economist, and visionary Benoit B Mandelbrot's fascinating work has inspired popular interest in the geometry inherent in the natural world.Unlike the squares, circles, spheres, and cones of fundamental geometry, nature has rough edges and no straight lines or perfect curves. Mandelbrot observed that, even with this roughness, there still exists a kind of symmetry, which he dedicated his work to document and study. This became the basis for his development of a new kind of geometry; indeed, he coined the term "fractal."Mandelbrot spent 35 years with IBM, which allowed him access to the level of computing power that would enable him to manipulate computer-generated images and develop his theory of a geometry found throughout our natural environment. He was among the first to use computer graphics to illustrate and test these kinds of concepts, demonstrating that natural phenomena which appear to be rough or chaotic actually have a certain degree of order and predictability. This definitive overview builds on Mandelbrot's 1977 work, Fractals: Form, Chance and Dimension (also published by Echo Point Books), revealing an in depth look at this still-emerging field. Richly illustrated and presented in an engaging manner which embraces geometric and visual dimensions interspersed with aspects of theory, this book will inspire curiosity and wonder in artists, mathematicians and naturalists alike.

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