Cover image for Chaos : a mathematical introduction
Title:
Chaos : a mathematical introduction
Author:
Banks, John, 1957-
Personal Author:
Publication Information:
Cambridge ; New York : Cambridge University Press, [2003]

©2003
Physical Description:
xi, 294 pages : illustrations ; 23 cm.
Language:
English
ISBN:
9780521531047
Format :
Book

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Material Type
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QA614.8 .B36 2003 Adult Non-Fiction Non-Fiction Area
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Summary

Summary

This text presents concepts on chaos in discrete time dynamics that are accessible to anyone who has taken a first course in undergraduate calculus. Retaining its commitment to mathematical integrity, the book, originating in a popular one-semester middle level undergraduate course, constitutes the first elementary presentation of a traditionally advanced subject.


Table of Contents

Preface
1 Making predictions
2 Mappings and orbits
3 Periodic orbits
4 Asymptotic orbits I: linear and affine mappings
5 Asymptotic orbits II: differentiable mappings
6 Families of mappings and bifurcations
7 Graphical composition, wiggly iterates and zeros
8 Sensitive dependence
9 Ingredients of chaos
10 Schwarzian derivatives and 'woggles'
11 Changing coordinates
12 Conjugacy
13 Wiggly iterates, Cantor sets and chaos
Index