Topics from One-Dimensional Dynamics
$151.00 (C)
Part of London Mathematical Society Student Texts
- Authors:
- Karen M. Brucks, University of Wisconsin, Milwaukee
- Henk Bruin, University of Surrey
- Date Published: July 2004
- availability: Available
- format: Hardback
- isbn: 9780521838962
$
151.00
(C)
Hardback
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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.
Read more- 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
Reviews & endorsements
'… particularly useful for students/beginners in the field. Due to an extensive bibliography, it will also serve as a very good reference book.' European Mathematical Society Newsletter
See more reviews'This book is intended as a text for an advanced undergraduate or beginning graduate students. As well as providing a brief account on the fundamental concepts of analysis and dynamical systems (Chapters 1-4 and 7-8), and a thorough explanation of topological entropy for piece-wise monotone interval maps (Chapter 9, sometimes with original proofs), the book contains substantial parts on unimodal interval maps and one chapter on complex quadratic polynomials. The quality of this exposition is very good: the material is organized so that all proofs are of easily manageable length; motivational comments are helpful, and there are plenty of illustrative examples and exercises.' Zentralblatt MATH
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×Product details
- Date Published: July 2004
- format: Hardback
- isbn: 9780521838962
- length: 312 pages
- dimensions: 238 x 156 x 23 mm
- weight: 0.537kg
- availability: Available
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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