Chaos and Fractals : An Elementary Introduction
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 | 432 pages
- Dimensions: 190 x 246 x 22mm | 934g
- Publication date: 12 Oct 2012
- Publisher: Oxford University Press
- Publication City/Country: Oxford, United Kingdom
- Language: English
- Illustrations note: 306 b/w line drawings, 31 b/w halftones
- ISBN10: 0199566445
- ISBN13: 9780199566440
- Bestsellers rank: 328,974