Product Description
The role of chaos in science and mathematics is examined in detail by the essays that comprise this work. Distinguished scholars specializing in mathematics, physics, and chemistry discuss the following subjects: Fractals, by Benoit Mandelbrot; The Causality Principle, Deterministic Laws and Chaos, by Heinz-Otto Peitgen; The Transition to Chaos, by Mitchell Feigenbaum; Time, Dynamics and Chaos: Integrating Poincare's "Non-Integrable Systems", by Ilya Prigogine; What Is Chaos, by Steve Smale; Chaos and Cosmos: A Theological Approach, by John Polkinghorne; and Chaos and Beyond, by James Gleick. Introduction by John Holte. This volume is number 26 in the Nobel Conference Series. Co-published with the Nobel Conference. ... Read more

Customer Reviews (2)

A taste
Like the coverage of any conference, you really had to be there.So this, as one might expect, gives a good taste of what the field is about.I had to know more, and the recomended reading and the references abound to let me do just that.Enjoy.

excellent description of system mathematics
easily read in layman's terms to understand the basic principles of chaos mathematics. ... Read more

Product Description
This volume offers an excellent selection of cutting-edge articles about fractal geometry, covering the great breadth of mathematics and related areas touched by this subject. Included are rich survey articles and fine expository papers. The high-quality contributions to the volume by well-known researchers---including two articles by Mandelbrot---provide a solid cross-section of recent research representing the richness and variety of contemporary advances in and around fractal geometry.

In demonstrating the vitality and diversity of the field, this book will motivate further investigation into the many open problems and inspire future research directions. It is suitable for graduate students and researchers interested in fractal geometry and its applications.

This is a two-part volume. Part 1 covers analysis, number theory, and dynamical systems; Part 2, multifractals, probability and statistical mechanics, and applications. ... Read more

Product Description
Dazzling computer animation combined with the genius of Benoît Mandelbrot and Edward Lorenz present a captivating discussion of fractals and the fundamental concepts of fractal geometry-self-similarity and chaos. Mandelbrot uses a simple head of broccoli to demonstrate the complexity of fractals. Narrating over the three-dimensional animations, Mandelbrot discusses how fractals serve as an excellent model of irregular natural forms, such as coastlines, and how they relieve the scientist of the necessity of describing nature with simple geometric forms-clouds are not spheres, mountains are not cones. The world of fractals is revealed, from the depths of the Mandelbrot set, to the Lorenz attractor. (63 minutes) ... Read more