First Course in Discrete Dynamical Systems

Name: First Course in Discrete Dynamical Systems
Price: 7.13 USD
Availability: InStock
ISBN: 9780387947808

ISBN-10: 0387947809

ISBN-13: 9780387947808

Edition: 2nd 1996 (Revised)

Authors: Richard A. Holmgren

List price: $79.99

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Description:

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…

Book details

List price: $79.99
Edition: 2nd
Copyright year: 1996
Publisher: Springer New York
Publication date: 8/15/1996
Binding: Paperback
Pages: 223
Size: 6.10" wide x 9.25" long x 0.25" tall
Weight: 0.792
Language: English



Preface


List of Symbols


A Quick Look at Functions


The Topology of the Real Numbers


Periodic Points and Stable Sets


Sarkovskii's Theorem


Differentiability and Its Implications


Parametrized Families of Functions and Bifurcations


The Logistic Function Part I: Cantor Sets and Chaos


The Logistic Function Part II: Topological Conjugacy


The Logistic Function Part III: A Period-Doubling


The Logistic Function Part IV: Symbolic Dynamics


Newton's Method


Numerical Solutions of Differential Equations


The Dynamics of Complex Functions


The Quadratic Family and the Mandelbrot Set


Appendix Mathematica Algorithms


References


Index