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| 001 | 978-3-540-45971-2 | ||
| 003 | DE-He213 | ||
| 005 | 20190213151225.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 121227s1988 gw | s |||| 0|eng d | ||
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_a9783540459712 _9978-3-540-45971-2 |
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| 024 | 7 |
_a10.1007/BFb0079769 _2doi |
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| 050 | 4 | _aQA331.5 | |
| 072 | 7 |
_aPBKB _2bicssc |
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_aMAT034000 _2bisacsh |
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| 072 | 7 |
_aPBKB _2thema |
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| 082 | 0 | 4 |
_a515.8 _223 |
| 100 | 1 |
_aPreston, Chris. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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| 245 | 1 | 0 |
_aIterates of Piecewise Monotone Mappings on an Interval _h[electronic resource] / _cby Chris Preston. |
| 264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c1988. |
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| 300 |
_aVIII, 172 p. _bonline resource. |
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| 336 |
_atext _btxt _2rdacontent |
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_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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_atext file _bPDF _2rda |
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| 490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1347 |
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| 505 | 0 | _aPiecewise monotone mappings -- Proof of Theorems 2.4 and 2.5 -- Sinks and homtervals -- Examples of register-shifts -- A proof of Parry's theoren (Theorem 2.6) -- Reductions -- The structure of the set D(f) -- Countable closed invariant sets -- Extensions -- Refinements -- Mappings with one turning point -- Some miscellaneous results from real analysis. | |
| 520 | _aPiecewise monotone mappings on an interval provide simple examples of discrete dynamical systems whose behaviour can be very complicated. These notes are concerned with the properties of the iterates of such mappings. The material presented can be understood by anyone who has had a basic course in (one-dimensional) real analysis. The account concentrates on the topological (as opposed to the measure theoretical) aspects of the theory of piecewise monotone mappings. As well as offering an elementary introduction to this theory, these notes also contain a more advanced treatment of the problem of classifying such mappings up to topological conjugacy. | ||
| 650 | 0 | _aMathematics. | |
| 650 | 1 | 4 |
_aReal Functions. _0http://scigraph.springernature.com/things/product-market-codes/M12171 |
| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer eBooks | |
| 776 | 0 | 8 |
_iPrinted edition: _z9783662180075 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783540503293 |
| 830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1347 |
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| 856 | 4 | 0 | _uhttps://doi.org/10.1007/BFb0079769 |
| 912 | _aZDB-2-SMA | ||
| 912 | _aZDB-2-LNM | ||
| 912 | _aZDB-2-BAE | ||
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