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.
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Book Description MacMillan Publishers. Book Condition: New. Brand New. Bookseller Inventory # 0716711869
Book Description 1982. HRD. Book Condition: New. New Book. Shipped from US within 10 to 14 business days. Established seller since 2000. Bookseller Inventory # VV-9780716711865
Book Description W.H.Freeman Co Ltd, United States, 1982. Hardback. Book Condition: New. Updated ed.. Language: German . This book usually ship within 10-15 business days and we will endeavor to dispatch orders quicker than this where possible. Brand New Book. .a blend of erudition (fascinating and sometimes obscure historical minutiae abound), popularization (mathematical rigor is relegated to appendices) and exposition (the reader need have little knowledge of the fields involved) .and the illustrations include many superb examples of computer graphics that are works of art in their own right. Nature. Bookseller Inventory # BTE9780716711865
Book Description W. H. Freeman and Company, 1982. Hardcover. Book Condition: New. Bookseller Inventory # DADAX0716711869
Book Description W. H. Freeman and Company, 1982. Hardcover. Book Condition: New. Bookseller Inventory # P110716711869
Book Description W. H. Freeman and Company, 1982. Hardcover. Book Condition: New. book. Bookseller Inventory # 0716711869
Book Description 1982. Hardcover. Book Condition: New. Hardcover. 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, .Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. 480 pages. 1.016. Bookseller Inventory # 9780716711865
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