Iterates of piecewise monotone mappings on an interval

Resource Information

The work Iterates of piecewise monotone mappings on an interval represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.

Label

Iterates of piecewise monotone mappings on an interval

Statement of responsibility

Chris Preston

Creator

• Preston, Christopher J

Subject

• Dynamique topologique
• Dynamique topologique
• Fonctions d'une variable réelle
• Fonctions de variables réelles
• Functions of real variables
• Functions of real variables
• Functions of real variables
• Intervall
• Iteration
• Mappings (Mathematics)
• Mappings (Mathematics)
• Mappings (Mathematics)
• Stückweise monotone Abbildung
• Topological dynamics
• Topological dynamics
• Topological dynamics
• Topologie
• Applications (Mathématiques)

Language

eng

Summary

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

Member of

• Lecture notes in mathematics (Springer-Verlag), 1347

Cataloging source

SPLNM

Dewey number

• 510 s
• 515.8/3

Illustrations

illustrations

Index

index present

LC call number

• QA3
• QA331

LC item number

.L28 no. 1347

Literary form

non fiction

Nature of contents

• dictionaries
• bibliography

Series statement

Lecture notes in mathematics,

Series volume

1347