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- catalog abstract "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.".
- catalog contributor b2265329.
- catalog created "c1988.".
- catalog date "1988".
- catalog date "c1988.".
- catalog dateCopyrighted "c1988.".
- catalog description "Bibliography: p. [160]-162.".
- catalog description "Contents: Introduction -- Piecewise Monotone Mappings -- Proof of Theorems 2.4 and 2.5 -- Sinks and Homtervals -- Examples of Register-shifts -- A Proof of Parry's Theorem (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 -- References -- Index.".
- catalog 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.".
- catalog extent "166 p. ;".
- catalog hasFormat "Iterates of piecewise monotone mappings on an interval.".
- catalog identifier "0387503293 (U.S.) :".
- catalog identifier "3540503293".
- catalog isFormatOf "Iterates of piecewise monotone mappings on an interval.".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1347.".
- catalog isPartOf "Lecture notes in mathematics ; 1347".
- catalog issued "1988".
- catalog issued "c1988.".
- catalog language "eng".
- catalog publisher "Berlin ; New York : Springer-Verlag,".
- catalog relation "Iterates of piecewise monotone mappings on an interval.".
- catalog subject "510 s 515.8/3 19".
- catalog subject "Functions of real variables.".
- catalog subject "Mappings (Mathematics)".
- catalog subject "Mathematics.".
- catalog subject "QA3 .L28 no. 1347 QA331".
- catalog subject "Topological dynamics.".
- catalog tableOfContents "Contents: Introduction -- Piecewise Monotone Mappings -- Proof of Theorems 2.4 and 2.5 -- Sinks and Homtervals -- Examples of Register-shifts -- A Proof of Parry's Theorem (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 -- References -- Index.".
- catalog title "Iterates of piecewise monotone mappings on an interval / Chris Preston.".
- catalog type "text".