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Chaos and Fractals

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Chaos and Fractals Synopsis

This book provides the reader with an elementary introduction to chaos and fractals, suitable for students with a background in elementary algebra, without assuming prior coursework in calculus or physics. It introduces the key phenomena of chaos - aperiodicity, sensitive dependence on initial conditions, bifurcations - via simple iterated functions. Fractals are introduced as self-similar geometric objects and analyzed with the self-similarity and box-counting dimensions. After a brief discussion of power laws, subsequent chapters explore Julia Sets and the Mandelbrot Set. The last part of the book examines two-dimensional dynamical systems, strange attractors, cellular automata, and chaotic differential equations. The book is richly illustrated and includes over 200 end-of-chapter exercises. A flexible format and a clear and succinct writing style make it a good choice for introductory courses in chaos and fractals.

About This Edition

ISBN: 9780199566440
Publication date: 9th August 2012
Author: David P. (Department od Physics and Mathematics, College of the Atlantic, Bar Harbor, Maine, USA) Feldman
Publisher: Oxford University Press
Format: Paperback
Pagination: 432 pages
Genres: Chaos theory
Fractal geometry
Mathematical physics
Statistical physics