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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.
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Previews available in: English
Edition | Availability |
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1
Iterates of piecewise monotone mappings on an interval
1988, Springer-Verlag
in English
0387503293 9780387503295
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2
Iterates of piecewise monotone mappings on an interval
1987, Universität Bielefeld, Schwerpunkt Mathematisierung
in English
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Book Details
Edition Notes
Includes bibliographical references (p. 211-213) and index.
"May 1987."
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- Created April 1, 2008
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November 8, 2020 | Edited by MARC Bot | import existing book |
December 12, 2009 | Edited by WorkBot | link works |
April 1, 2008 | Created by an anonymous user | Imported from Scriblio MARC record |