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 phy ...Celý popis
Feldman David P. (Department od Physics and Mathematics College of the Atlantic Bar Harbor Maine USA)
Vydavatel
Oxford University Press
Subtitle
An Elementary Introduction
Väzba
Paperback / softback
Rok vydania
2012
Počet strán
432
Popis knihy
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/physics/admin/solutions
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