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Benoit Mandelbrot

The Fractal Geometry of Nature Hardcover – January 1, 1982

by Benoit B. Mandelbrot (Author)

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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.

Now that the field has expanded greatly with many active researchers, Mandelbrot presents the definitive overview of the origins of his ideas and their new applications. The Fractal Geometry of Nature is based on his highly acclaimed earlier work, but has much broader and deeper coverage and more extensive illustrations.

Print length

468 pages
Language:

English
Publisher

Times Books
Publication date

January 1, 1982
Dimensions

8.28 x 1.41 x 9.33 inches
ISBN-10

0716711869
ISBN-13

978-0716711865
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Editorial Reviews

Amazon.com Review

Imagine an equilateral triangle. Now, imagine smaller equilateral triangles perched in the center of each side of the original triangle--you have a Star of David. Now, place still smaller equilateral triangles in the center of each of the star's 12 sides. Repeat this process infinitely and you have a Koch snowflake, a mind-bending geometric figure with an infinitely large perimeter, yet with a finite area. This is an example of the kind of mathematical puzzles that this book addresses.

The Fractal Geometry of Nature is a mathematics text. But buried in the deltas and lambdas and integrals, even a layperson can pick out and appreciate Mandelbrot's point: that somewhere in mathematics, there is an explanation for nature. It is not a coincidence that fractal math is so good at generating images of cliffs and shorelines and capillary beds.

Review

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

Publisher : Times Books; 2nd prt. edition (January 1, 1982)
Language: : English
Hardcover : 468 pages
ISBN-10 : 0716711869
Item Weight : 2.48 pounds
Dimensions : 8.28 x 1.41 x 9.33 inches

Best Sellers Rank: #271,297 in Books (See Top 100 in Books)
- #46 in Fractal Mathematics
- #77 in System Theory
- #227 in Geometry & Topology (Books)

Customer Reviews:
102 ratings

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5 star		78%
4 star		16%
3 star		3%
2 star		1%
1 star		2%

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Top reviews from the United States

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D. Skeen

Bought mine used and it was signed by the author ...

Reviewed in the United States on April 2, 2018

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Bought mine used and it was signed by the author and contained what appears to be separate notes and letters on THINK letter heads from the same talking about his research at IBM. Very interesting stuff.

14 people found this helpful

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pure me db

Mathematics is no longer abstract!!

Reviewed in the United States on January 5, 2019

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As a child, I remember hearing, "God is a mathematician." This proves it! Mathematics is for human invention, while Fractal is the mathematics of nature!

6 people found this helpful

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Daniel Barham

A treatise on fractals as a unifying phenomenon

Reviewed in the United States on April 11, 2015

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The magnum opus of a true genius. Within this book lies the legacy of a profound academic and perhaps the most rigorous and complete analysis of fractal geometries that has ever been created. It is a balanced look at fractal geometries that fills a niche for all levels of expertise. As a mathematical novice you can enjoy the pictures and narrative and as a master there is a trove of insight. If you are interested in how fractals are rife throughout nature and how these various geometries can be explained using Benoit's mathematics, this is the book for you.

11 people found this helpful

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TheNigerian

A Great Book.

Reviewed in the United States on June 27, 2013

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I entered fractals for the first time in the early 90s after a had read about them in a fantastic book called Excursions in Modern Mathematics.

I coded and created the Sirpinsky thereafter and have been hooked on the topic since.

I bought this book to undestand what the discoverer of fractals thought and have not been dissapointed. I am enjoying every page of it.

Buy it!

9 people found this helpful

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Jane Weird

A great read for most

Reviewed in the United States on November 21, 2011

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Of course I love this book; I read it for the first time when I was just a young teen; now upon re-reading it, I realize how difficult so much of the mathematical material is. Of course, Mandelbrot wrote it and labeled it as an 'essay', thus intended for a wide variety of disciplines and backgrounds in order to reach a maximum audience, but his coining it as targeted for a 'broad' audience may have been referring to 'peers in similar fields' because despite all the math I took in college, much of the digressions in this book are lost on me. Still, so much of the content is accessible immediately through the written content and the visuals are unmistakably striking, especially for such old computer graphic technology. I would recommend this for anyone interested in the studies of fractal geometry, chaos theory, and turbulent dynamics.

7 people found this helpful

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Ismael Abdullah

As expected

Reviewed in the United States on August 18, 2018

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I had this book before. Benoit Mandelbrot was not a native English speaker, so you can expect it is not the best writing. I purchased this book for the historical value.

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Canned_Heatit

nice book

Reviewed in the United States on February 25, 2018

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So interesting, nice book

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Kenneth R. Bolser

The book that popularized fractal geometry.

Reviewed in the United States on February 4, 2013

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For the general public, this book helped set in motion the concepts of, and the potential to understand natures' geometry. this book also gives the ground work for the potential fin art and illustration more reflective of the geometry of nature - and a new tool for the arts. The graphics are still inspiring. A must for anyone intetrested in the Mandelbrot set, fractal geometry and the forms that evolve from chaotic dynamics.

5 people found this helpful

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Top reviews from other countries

Adrian Murariu

I love it so much I will read 1million times

Reviewed in the United Kingdom on December 30, 2017

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BUY IT, ITS AMAISING
If you are in any way considering doing anything with fractals, there's no reason to have other people's books and not this one .
This is one of the most important sources of understanding fractals, because it comes from the creator of the geometry itself .
I just got the book, It has a square aspect instead of a normal rectangular aspect.
I love it so much I will read 1million times.
There's cools drawings inside and all kinds of explanations , I'm so happy with this there's no words to describe .
Love to the author .

2 people found this helpful

Mario Negrello

Great book, terrible edition

Reviewed in the United Kingdom on January 1, 2018

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The book is brilliant and a landmark of modern mathematics, but this particular edition from amazon was missing pages. The book felt like it was bootleg printed.

3 people found this helpful

Darnell.W

Just what I was looking for.

Reviewed in the United Kingdom on October 9, 2018

Verified Purchase

Just as described, with the cover being somewhat damaged/dirty, but the actual book was in excellent condition. Thanks to this book, I was able to add important notes to my essay, and reference more accurately. It's perfect.

Highly recommended

Reviewed in the United Kingdom on January 29, 2019

Verified Purchase

Very interesting and informative

Excellent book.

Reviewed in the United Kingdom on May 1, 2014

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Excellent book, well written. Goes into detail and description and is easy to understand. It is very easy to reference.

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