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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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Chaos, Dynamics, and Fractals 2024 pdf epub mobi 電子書下載

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出版者:Cambridge University Press

作者:Joseph L. McCauley

出品人:

頁數:348

譯者:

出版時間:1994-06-24

價格:USD 50.00

裝幀:Paperback

isbn號碼:9780521467476

叢書系列:Cambridge Nonlinear Science Series

圖書標籤: 數學 mathematics Math

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