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Topics from One-Dimensional Dynamics

Topics from One-Dimensional Dynamics

$74.99

Part of London Mathematical Society Student Texts

  • Date Published: June 2004
  • availability: In stock
  • format: Paperback
  • isbn: 9780521547666

$74.99
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About the Authors
  • One-dimensional dynamics has generated many results, and avenues of active mathematical research with numerous inroads to this research remain to be pursued by the advanced undergraduate or beginning graduate student. While much of the material in this book is not covered elsewhere, some aspects present new research topics whose connections are drawn to other research areas from the text. Although the material presented is not meant to be approached in a linear fashion, anybody with an interest in dynamics will find many topics of interest.

    • Wide range of topics; many topics covered appear nowhere else in 'text book format'; material is a filering from the research literature of currently active topics
    • Readers encouraged to pick and choose topics of interest, rather than rigid linear fashion
    • Employs style that allows students an active role
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    Product details

    • Date Published: June 2004
    • format: Paperback
    • isbn: 9780521547666
    • length: 312 pages
    • dimensions: 229 x 152 x 19 mm
    • weight: 0.425kg
    • availability: In stock
  • Table of Contents

    1. Topological roots
    2. Measure theoretic roots
    3. Symbolic and topological dynamics
    4. Beginning measurable dynamics
    5. 2∞ Map
    6. Kneading maps
    7. Some number theory
    8. Circle maps
    9. Topological entropy
    10. Symmetric tent maps
    11. Adding machines and maps
    12. Beta-transformations and maps
    13. Homeomorphic restrictions
    14. Complex quadratic dynamics.

  • Authors

    Karen M. Brucks, University of Wisconsin, Milwaukee
    Karen M. Brucks is an associate professor at the University of Wisconsin Milwaukee. She has been the recipient of a Fulbright Research Scholar Fellowship and has served on the American Fellowship Panel of the American Association of University Women. Her research interests include topological, measure theoretic, and combinatoric dynamics.

    Henk Bruin, University of Surrey
    Henk Bruin is Lecturer in Mathematics at the University of Surrey. He has also held teaching positions in Germany, Sweden, the Netherlands and the USA, including the position of Taussky-Todd instructor at CalTech. His specialty is one-dimensional chaotic dynamical systems and he has published extensively on most aspects of this theory. His other research interests include counting topology, ergodic theory and complex dynamics.

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