Universitext

A First Course in Discrete Dynamical Systems

Authors: Holmgren, Richard

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About this Textbook

An increasing number of colleges and universities are offering undergradu­ ate courses in discrete dynamical systems. This growth is due in part to the proliferation of inexpensive and powerful computers, which have provided access to the interesting and complex phenomena that are at the heart of dynamics. A second reason for introducing dynamics into the undergradu­ ate curriculum is that it serves as a bridge from concrete, often algorithmic calculus courses, to the more abstract concepts of analysis and topology. Discrete dynamical systems are essentially iterated functions, and if there is one thing computers do well, it is iteration. It is now possible for anyone with access to a personal computer to generate beautiful images whose roots lie in discrete dynamical systems. The mathematics behind the pictures are beautiful in their own right and are the subject of this text. Every effort has been made to exploit this opportunity to illustrate the beauty and power of mathematics in an interesting and engaging way. This work is first and foremost a mathematics book. Individuals who read it and do the exercises will gain not only an understanding of dynamical systems, but an increased understanding of the related areas in analysis as well.

Table of contents (15 chapters)

Table of contents (15 chapters)

Buy this book

eBook $74.99
price for USA in USD
  • ISBN 978-1-4684-0222-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • Immediate eBook download after purchase and usable on all devices
  • Bulk discounts available
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Bibliographic Information

Bibliographic Information
Book Title
A First Course in Discrete Dynamical Systems
Authors
Series Title
Universitext
Copyright
1994
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag New York, Inc.
eBook ISBN
978-1-4684-0222-3
DOI
10.1007/978-1-4684-0222-3
Series ISSN
0172-5939
Edition Number
1
Number of Pages
XII, 214
Topics