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Iterates of Piecewise Monotone Mappings on an Interval

Iterates of Piecewise Monotone Mappings on an Interval

von Chris Preston
Softcover - 9783540503293
26,74 €
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Beschreibung

Piecewise 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.

Details

Verlag Springer Berlin
Ersterscheinung 12. Oktober 1988
Maße 23.5 cm x 15.5 cm
Gewicht 283 Gramm
Format Softcover
ISBN-13 9783540503293
Seiten 172

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