Chaos and Fractals - An Elementary Introduction

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.

Dettagli sul prodotto

• Autori: David P. Feldman, David P. (Department Od Physics and Mathe Feldman, David P. (Department od Physics and Mathematics Feldman, Feldman David P.
• Editore: Oxford University Press
• Lingue: Inglese
• Formato: Tascabile
• Pubblicazione: 09.08.2012
• EAN: 9780199566440
• ISBN: 978-0-19-956644-0
• Pagine: 432
• Categorie: Scienze naturali, medicina, informatica, tecnica > Matematica > Altro; SCIENCE / Physics / General, SCIENCE / Physics / Mathematical & Computational, MATHEMATICS / Geometry / General, SCIENCE / Chaotic Behavior in Systems, Mathematical physics, Statistical physics, Chaos Theory, Fractal geometry