Iterates of piecewise monotone mappings on an interval
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Word Count
41,500 words, Guess
Page Count
166 pages
Identifiers
- Open LibraryOL2051726M
- ISBN-100387503293
- OCLC Control Number18521579
- OCLC Control Numberiteratesofpiecew0000pres
- Library of Congress Control Number88029451
and 1 more
- Goodreads3705692
Classifications
- DDC510 s
- LCCQA3 .L28 no. 1347
Description
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.
Subjects
Topics
Series Statement
- Lecture notes in mathematics ;
Other Editions
- Iterates of piecewise monotone mappings on an interval
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