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.
- ISBN:
- 9780199566440
- 9780199566440
-
Category:
- Chaos theory
- Format:
- Paperback
- Publication Date:
-
09-08-2012
- Language:
- English
- Publisher:
- Oxford University Press
- Country of origin:
- United Kingdom
- Pages:
- 432
- Dimensions (mm):
- 246x190x22mm
- Weight:
- 0.93kg
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