Chaos and Fractals
Author | : David P. Feldman |
Publisher | : Oxford University Press |
Total Pages | : |
Release | : 2012-08-10 |
ISBN-10 | : 9780191637520 |
ISBN-13 | : 0191637521 |
Rating | : 4/5 (20 Downloads) |
Download or read book Chaos and Fractals written by David P. Feldman and published by Oxford University Press. This book was released on 2012-08-10 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.