The Fractal Geometry of Nature
Mandelbrot, Benoit B.
ISBN 10: 0716711869 ISBN 13: 9780716711865
Published by Times Books (edition 2nd prt.), 1982
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Synopsis:
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.
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.
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Bibliographic Details
Title: The Fractal Geometry of Nature
Publisher: Times Books (edition 2nd prt.)
Publication Date: 1982
Binding: Hardcover
Condition: Good
Edition: 2nd prt.
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The Fractal Geometry of Nature
Published by
W. H. Freeman and Company, 1982
ISBN 10: 0716711869
ISBN 13: 9780716711865
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The Fractal Geometry of Nature
Published by
W. H. Freeman and Company, 1982
ISBN 10: 0716711869
ISBN 13: 9780716711865
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THE FRACTAL GEOMETRY OF NATURE
Published by
W. H. Freeman and Company, New York. NY, 1982
ISBN 10: 0716711869
ISBN 13: 9780716711865
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Cloth. Condition: Near Fine. Dust Jacket Condition: Near Fine. 2nd Edition. This work is a spectacular book loaded with beautiful illustrations from many fields of knowledge and graced by fascinating details about the lives of those who contributed to the subject. The book contains illustrations, plates, a list of references, an index of selected dimensions, and an index of names and subjects. This HARDCOVER copy is clean and solid. Seller Inventory # 022592
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