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A First Course in Discrete Dynamical Systems

Author: Richard A Holmgren
Publisher: New York, NY : Springer US, 1994.
Series: Universitext.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
This book is intended to introduce the reader both to topics in dynamical systems and mathematical thinking. In particular, the authors emphasize those portions of mathematical analysis necessary for understanding the intricacies of a discrete dynamical system. The organizing principle is the development of an understanding of the parametrized family of functions h(x) = rx(1-x). The readers should have some  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Richard A Holmgren
ISBN: 9781468402223 1468402226
OCLC Number: 851837726
Description: 1 online resource (xii, 214 pages 55 illustrations).
Series Title: Universitext.
Responsibility: by Richard A. Holmgren.

Abstract:

This book is intended to introduce the reader both to topics in dynamical systems and mathematical thinking. In particular, the authors emphasize those portions of mathematical analysis necessary for understanding the intricacies of a discrete dynamical system. The organizing principle is the development of an understanding of the parametrized family of functions h(x) = rx(1-x). The readers should have some background in calculus though they need not have an extensive background in proof based mathematics. Students will learn to understand periodic points, stable sets, bifurcations, symbolic dynamics, chaos. This book includes rigorous proofs of important concepts in dynamics and is still accessible to the typical advanced undergraduate student.

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