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.
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An Elementary Introduction
Produktdetaljer
ISBN
9780191637520
Publisert
2020
Utgiver
Vendor
OUP Oxford
Språk
Product language
Engelsk
Format
Product format
Digital bok
Forfatter