The Fractal Geometry of Nature
By Benoit B. Mandelbrot
* Publisher: W. H. Freeman
* Number Of Pages: 460
* Publication Date: 1982-08-15
* Sales Rank: 193149
* ISBN / ASIN: 0716711869
* EAN: 9780716711865
* Binding: Hardcover
* Manufacturer: W. H. Freeman
* Studio: W. H. Freeman
* Average Rating: 4
* Total Reviews: 13
Amazon.com:
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.
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