A First Course in Discrete Dynamical Systems (Paperback) (ISBN-13: 9780387947808)

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.

Author: Richard A. Holmgren
ISBN-10: 0387947809
ISBN-13: 9780387947808
Publisher: Springer
Language: English
Published: 08/15/1996
Pages: 223
Format: Paperback
Weight: 0.73lbs
Size: 9.20h x 6.14w x 0.64d