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Chaos and Fractals : An Elementary Introduction.
・ISBN 978-0-19-956643-3 2012 hard GB£ 132.50
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★★★
電子版あり 大学・学術機関向け電子ブック（eBook）ISBN 978-0-19-177496-6
| 著者・編者 | Feldman, David P., |
|---|---|
| 出版社 | (Oxford University Press, UK) |
| ページ数 | 432 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-12425＞ |
解説
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.