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Chaos, Dynamics, and Fractals 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Joseph L. McCauley 作者

Cambridge University Press

译者

1994-06-24 出版日期

348 页数

USD 50.00 价格

Paperback

Cambridge Nonlinear Science Series 丛书系列

9780521467476 图书编码

Chaos, Dynamics, and Fractals 在线电子书图书标签: 数学 mathematics Math

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This book develops deterministic chaos and fractals from the standpoint of iterated maps, but the emphasis makes it very different from all other books in the field. It provides the reader with an introduction to more recent developments, such as weak universality, multifractals, and shadowing, as well as to older subjects like universal critical exponents, devil's staircases and the Farey tree. The author uses a fully discrete method, a 'theoretical computer arithmetic', because finite (but not fixed) precision cannot be avoided in computation or experiment. This leads to a more general formulation in terms of symbolic dynamics and to the idea of weak universality. The connection is made with Turing's ideas of computable numbers and it is explained why the continuum approach leads to predictions that are not necessarily realized in computation or in nature, whereas the discrete approach yields all possible histograms that can be observed or computed.

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