Chaos and Fractals: An Elementary Introduction

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pdf | 14.98 MB | English | Isbn:‎ 978-0199566440 | Author: David P. Feldman | Year: 2012

Description:

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.

To request a copy of the Solutions Manual, visit: http://global.oup.com/uk/academic/physic.../solutions

Category:Fractal Mathematics, Mathematical Physics, Physics

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