Chaos and Fractals : An Elementary Introduction Paperback
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.
- Format: Paperback
- Pages: 432 pages, 306 b/w line drawings, 31 b/w halftones
- Publisher: Oxford University Press
- Publication Date: 02/08/2012
- Category: Fractal geometry
- ISBN: 9780199566440