Chaos, Dynamics, and Fractals 2024 pdf epub mobi 电子书

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发表于2024-06-29

Chaos, Dynamics, and Fractals 2024 pdf epub mobi 电子书

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出版者:Cambridge University Press

作者:Joseph L. McCauley

出品人:

页数:348

译者:

出版时间:1994-06-24

价格:USD 50.00

装帧:Paperback

isbn号码:9780521467476

丛书系列:Cambridge Nonlinear Science Series

图书标签: 数学 mathematics Math

Chaos, Dynamics, and Fractals 2024 pdf epub mobi 电子书图书描述

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.

Chaos, Dynamics, and Fractals 2024 pdf epub mobi 电子书

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