Topics from One-Dimensional Dynamics
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.
1100945657
Topics from One-Dimensional Dynamics
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.
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Topics from One-Dimensional Dynamics

Topics from One-Dimensional Dynamics

by Karen M. Brucks, Henk Bruin
Topics from One-Dimensional Dynamics

Topics from One-Dimensional Dynamics

by Karen M. Brucks, Henk Bruin

Overview

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.

Product Details

ISBN-13: 9780521547666
Publisher: Cambridge University Press
Publication date: 06/28/2004
Series: London Mathematical Society Student Texts , #62
Edition description: New Edition
Pages: 312
Product dimensions: 5.98(w) x 9.02(h) x 0.75(d)

About the Author

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 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.

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.
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