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Topics from One-Dimensional Dynamics : London Mathematical Society Student Texts - Karen M. Brucks

Topics from One-Dimensional Dynamics

London Mathematical Society Student Texts

Hardcover

Published: 1st July 2004
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One-dimensional dynamics owns many deep results and avenues of active mathematical research. Numerous inroads to this research exist for the advanced undergraduate or beginning graduate student. This book provides glimpses into one-dimensional dynamics with the hope that the results presented illuminate the beauty and excitement of the field. Much of this material is covered nowhere else in textbook format, some are mini new research topics in themselves, and novel connections are drawn with other research areas both inside and outside the text. The material presented here is not meant to be approached in a linear fashion. Readers are encouraged to pick and choose favourite topics. Anyone with an interest in dynamics, novice or expert alike, will find much of interest within.

'... 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 '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

Topological roots
Measure theoretic roots
Symbolic and topological dynamics
Beginning measurable dynamics
2- Map
Kneading maps
Some number theory
Circle maps
Topological entropy
Symmetric tent maps
Adding machines and maps
Beta-transformations and maps
Homeomorphic restrictions
Complex quadratic dynamics
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521838962
ISBN-10: 0521838967
Series: London Mathematical Society Student Texts
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 312
Published: 1st July 2004
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 23.8 x 15.6  x 2.3
Weight (kg): 0.54