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 |
Häftad |
| Omfång |
432 sidor |
| Språk |
Engelska |
| Förlag |
Oxford University Press |
| Utgivningsdatum |
2012-08-09 |
| ISBN |
9780199566440 |
