A First Course in Discrete Dynamical Systems

Richard A. Holmgren

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English

Springer Verlag
01 June 2000

Mathematics & Sciences; Differential calculus & equations; Chaos theory

Series: Universitext

Summary
Details

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.

By: Richard A. Holmgren
Imprint: Springer Verlag
Country of Publication: United States
Dimensions: Height: 235mm, Width: 155mm, Spine: 13mm
Weight: 770g
ISBN: 9780387947808
ISBN 10: 0387947809
Series: Universitext
Publication Date: 01 June 2000
Audience: College/higher education , A / AS level
Format: Paperback
Publisher's Status: Active