Chaos, Dynamics, and Fractals 在線電子書 圖書標籤: 數學 mathematics Math
發表於2024-11-17
Chaos, Dynamics, and Fractals 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024
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 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024