TY - BOOK
A2 - Preston, Christopher J.
TI - Iterates of piecewise monotone mappings on an interval
ET - 1st ed. 1988.
PB - Berlin, Heidelberg: Springer-Verlag
PY - 1988
SP - 1 online resource (VIII, 172 p.)
T3 - Lecture notes in mathematics (Berlin) ; Volume 1347.
T3 - Lecture Notes in Mathematics ; Volume 1347
AB - 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.
N1 - Bibliographic Level Mode of Issuance: Monograph
LA - English
KW - Iterative methods (Mathematics)
SN - 9783540459712
ER -