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.
"synopsis" may belong to another edition of this title.
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.About the Author:
Benoit Mandelbrot is the Abraham Robinson Professor of Mathematical Sciences at Yale University and IBM Fellow Emeritus at the IBM T.J. Watson Research Center.
"About this title" may belong to another edition of this title.
Book Description WH Freeman. Hardcover. Book Condition: New. Bookseller Inventory # SONG0716711869
Book Description Book Condition: Brand New. Book Condition: Brand New. Bookseller Inventory # 97807167118651.0
Book Description W. H. Freeman and Company, 1982. Hardcover. Book Condition: New. As new clean tight and bright hardcover in jacket. Please email for photos. Larger books or sets may require additional shipping charges. Bookseller Inventory # 65357
Book Description W. H. Freeman and Company, 1982. Hardcover. Book Condition: New. New never used. Cover has minor shelf rubbings. Your Satisfaction Guaranteed. We ship daily. Expedited shipping available. Bookseller Inventory # C6F0104293
Book Description W. H. Freeman and Company. Hardcover. Book Condition: New. First Edition. Bookseller Inventory # DADAX0716711869
Book Description W. H. Freeman and Company. Hardcover. Book Condition: New. 0716711869 Brand New in Mint condition. Guaranteed delivery in 2-4 days when you order with Expedited Shipping! No Expedited shipping to PO Boxes. Bookseller Inventory # 0716711869
Book Description Hardcover. Book Condition: BRAND NEW. BRAND NEW. Fast Shipping. Prompt Customer Service. Satisfaction guaranteed. Bookseller Inventory # 0716711869BNA
Book Description W H Freeman & Co, 1982. Hardcover. Book Condition: Brand New. updated ed. edition. 468 pages. 9.50x8.25x1.25 inches. In Stock. Bookseller Inventory # 0716711869
Book Description W. H. Freeman and Company. Hardcover. Book Condition: New. Bookseller Inventory # P110716711869