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.
| ISBN: | 9780387947808 |
| Publication date: | 15th August 1996 |
| Author: | Richard A Holmgren |
| Publisher: | Springer an imprint of Springer New York |
| Format: | Paperback |
| Pagination: | 223 pages |
| Series: | Universitext |
| Genres: |
Calculus and mathematical analysis Topology |
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.
A First Course in Discrete Dynamical Systems features in the following genres: Calculus and mathematical analysis, Topology
Paperback. Not Available.
A First Course in Discrete Dynamical Systems was written by Richard A Holmgren and published by Springer an imprint of Springer New York
A First Course in Discrete Dynamical Systems has 223 pages
Yes it is part of Universitext series