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Chaos and Fractals
David P. Feldman
其他書名
An Elementary Introduction
出版Oxford University Press, 2012-08-10
主題Science / Physics / Mathematical & ComputationalScience / Physics / GeneralScience / Mechanics / GeneralMathematics / Linear & Nonlinear ProgrammingMathematics / Geometry / GeneralScience / Chaotic Behavior in Systems
ISBN01916375219780191637520
URLhttp://books.google.com.hk/books?id=J_VQEAAAQBAJ&hl=&source=gbs_api
EBookSAMPLE
註釋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.