| 000 | 02397nam a22004098i 4500 | ||
|---|---|---|---|
| 001 | CR9780511564154 | ||
| 003 | UkCbUP | ||
| 005 | 20200124160241.0 | ||
| 006 | m|||||o||d|||||||| | ||
| 007 | cr|||||||||||| | ||
| 008 | 090518s1993||||enk o ||1 0|eng|d | ||
| 020 | _a9780511564154 (ebook) | ||
| 020 | _z9780521416580 (hardback) | ||
| 020 | _z9780521467476 (paperback) | ||
| 040 |
_aUkCbUP _beng _erda _cUkCbUP |
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| 050 | 0 | 0 |
_aQC174.17.C45 _bM33 1993 |
| 082 | 0 | 0 |
_a516.15 _219 |
| 100 | 1 |
_aMcCauley, Joseph L., _eauthor. |
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| 245 | 1 | 0 |
_aChaos, dynamics, and fractals : _ban algorithmic approach to deterministic chaos / _cJoseph L. McCauley. |
| 246 | 3 | _aChaos, Dynamics, & Fractals | |
| 264 | 1 |
_aCambridge : _bCambridge University Press, _c1993. |
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| 300 |
_a1 online resource (xxi, 323 pages) : _bdigital, PDF file(s). |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 490 | 1 |
_aCambridge nonlinear science series ; _v2 |
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| 500 | _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015). | ||
| 520 | _aThis 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. | ||
| 650 | 0 | _aDeterministic chaos. | |
| 650 | 0 | _aAlgorithms. | |
| 650 | 0 | _aMappings (Mathematics) | |
| 650 | 0 | _aFractals. | |
| 650 | 0 | _aMathematical physics. | |
| 776 | 0 | 8 |
_iPrint version: _z9780521416580 |
| 830 | 0 |
_aCambridge nonlinear science series ; _v2. |
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| 856 | 4 | 0 | _uhttps://doi.org/10.1017/CBO9780511564154 |
| 999 |
_c518590 _d518588 |
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