Written in a style that is accessible to a wide audience, The Fractal Geometry of Nature inspired popular interest in this emerging field. Mandelbrot's unique style, and rich illustrations will inspire readers of all backgrounds.
This fascinating book will interest anyone curious about the human mind, the scientific world, and the relationship between them.
From the reviews: "In the world of mathematics, the 1980's might well be described as the "decade of the fractal".
Evertsz , C. J. G. , H.-O. Peitgen , and R. F. Voss ( eds . ) ( 1996 ) Fractal Geometry : The Mandelbrot ... Fermi , E. , Pasta , J. , and Ulam , S. ( 1955 ) “ Studies of Non Linear Problems , ” LA - 1940 paper no . 266 , Los Alamos .
The science of chaos attracts the attention of researchers in many disciplines. The idea: by following simple principles of randomness and disorder, patterns emerge. Here, users on their own PC's...
A Yale mathematician best known for his ideas on fractals traces his early years as a member of a Lithuanian Jewish family in Warsaw, his education under challenging circumstances, and his development of a new geometry that unfolded ...
ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly.
But the spaces ((0,1),d euclidean) and (B :={(x, y) ∈ R2 euclidean ) :x2 + y2 < 1},d euclidean) are not complete. Figure 1.16 illustrates an incomplete metric space. A useful example of a complete metric space is (C[a,b],d max), ...
This book brings together his original papers as well as many original chapters specifically written for this book.
In this text, Mandelbrot offers 25 papers from the past 25 years, many related to the famous inkblot figure. Of historical interest are some early images of this fractal object produced with a crude dot-matrix printer.
Broad in application, this groundbreaking work will inform not just mathematicians, but anyone that appreciates the natural elegance of patterns made manifest.