Chaos and Fractals
An Elementary Introduction
Inbunden, Engelska, 2012
Av David P. Feldman, USA) Feldman, David P. (Department od Physics and Mathematics, College of the Atlantic, Bar Harbor, Maine
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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.
Produktinformation
- Utgivningsdatum2012-08-09
- Mått195 x 248 x 26 mm
- Vikt1 098 g
- FormatInbunden
- SpråkEngelska
- Antal sidor432
- FörlagOUP OXFORD
- ISBN9780199566433