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About this book
Discrete dynamical systems are essentially iterated functions. Given the ease with which computers can do iteration, it is now possible for anyone with access to a personal computer to generate beautiful images whose roots lie in discrete dynamical systems. Images of Mandelbrot and Julia sets abound in publications both mathematical and not. The mathematics behind the pictures are beautiful in their own right and are the subject of this text. The level of the presentation is suitable for advanced undergraduates with a year of calculus behind them. Students in the author's courses using this material have come from numerous disciplines; many have been majors in other disciplines who are taking mathematics courses out of general interest. Concepts from calculus are reviewed as necessary. Mathematica programs that illustrate the dynamics and that will aid the student in doing the exercises are included in an appendix.
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Table of contents (15 chapters)
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Front Matter
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Back Matter
Authors and Affiliations
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Bibliographic Information
Book Title: A First Course in Discrete Dynamical Systems
Authors: Richard A. Holmgren
Series Title: Universitext
DOI: https://doi.org/10.1007/978-1-4419-8732-7
Publisher: Springer New York, NY
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eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag New York, Inc. 1996
Softcover ISBN: 978-0-387-94780-8Published: 15 August 1996
eBook ISBN: 978-1-4419-8732-7Published: 05 September 2012
Series ISSN: 0172-5939
Series E-ISSN: 2191-6675
Edition Number: 2
Number of Pages: XV, 223
Number of Illustrations: 4 b/w illustrations
Topics: Analysis, Manifolds and Cell Complexes (incl. Diff.Topology)