Iterates of Piecewise Monotone Mappings on an Interval

  • Authors
  • Chris┬áPreston

Part of the Lecture Notes in Mathematics book series (LNM, volume 1347)

Table of contents

  1. Front Matter
    Pages I-V
  2. Chris Preston
    Pages 1-19
  3. Chris Preston
    Pages 20-33
  4. Chris Preston
    Pages 34-40
  5. Chris Preston
    Pages 41-49
  6. Chris Preston
    Pages 50-56
  7. Chris Preston
    Pages 57-67
  8. Chris Preston
    Pages 68-81
  9. Chris Preston
    Pages 82-102
  10. Chris Preston
    Pages 103-111
  11. Chris Preston
    Pages 112-125
  12. Chris Preston
    Pages 126-134
  13. Chris Preston
    Pages 135-152
  14. Chris Preston
    Pages 153-159
  15. Back Matter
    Pages 160-166

About this book


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.


dynamical systems measure real analysis

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 1988
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-50329-3
  • Online ISBN 978-3-540-45971-2
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • Buy this book on publisher's site