This is a collection of articles, many written by people who worked with Mandelbrot, memorializing the remarkable breadth and depth of his work in science and the arts. Contributors include mathematicians, physicists, biologists, economists, and engineers, as expected; and also artists, musicians, teachers, an historian, an architect, a filmmaker, and a comic. Some articles are quite technical, others entirely descriptive. All include stories about Benoit. Also included are chapters on fractals and music by Charles Wuorinen and by Harlan Brothers, on fractals and finance by Richard Hudson and by Christian Walter, on fractal invisibility cloaks by Nathan Cohen, and a personal reminiscence by Aliette Mandelbrot.
While he is known most widely for his work in mathematics and in finance, Benoit influenced almost every field of modern intellectual activity. No other book captures the breadth of all of Benoit’s accomplishments.
Picturesareimportant,ineverydaylifeaswellasinart,engineering,andmost branches of the natural and social sciences. About three decades ago, the – servation that simple geometric processes often yield very complex geometric objects (i.e., pictures) gave rise to new branches of mathematics whose p- pose was to study such processes and the resulting pictures: fractal geometry, dynamic systems, and chaos theory.
This work provides a guide to wavelet-based signal processing with fractals. Coverage includes wavelet theory and transformations, statistically self-similar signals, deterministically self-similar signals, fractal modulation and linear self-similar systems.