Chaos and Fractals: An Elementary Introduction

Chaos and Fractals: An Elementary Introduction

Feldman D.P.

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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. click to read more

Categories:
Mathematics – Geometry and Topology

Year:
2012

Publisher:
Oxford University Press

Language:
english

Pages:
431

ISBN 13:
9780199566433

File:
PDF, 14.98 MB