Introduction to Discrete Dynamical Systems and Chaos / Edition 1

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Overview

The past three decades have seen dramatic developments in the theory of dynamical systems, particularly regarding the exploration of chaotic behavior. Complex patterns of even simple processes arising in biology, chemistry, physics, engineering, economics, and a host of other disciplines have been investigated, explained, and utilized.

Introduction to Discrete Dynamical Systems and Chaos make these exciting and important ideas accessible to students and scientists by assuming, as a background, only the standard undergraduate training in calculus and linear algebra.

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Editorial Reviews

From the Publisher
"From the preface: 'The purpose of this book is to present the fundamental ideas on discrete dynamical systems and chaos at the level of those undergraduates...who have completed the standard calculus sequence, with the inclusion of functions of several variables and linear algebra.'" (Mathematical Reviews, Issue 2001k)
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Product Details

Meet the Author

MARIO MARTELLI, PhD, is Professor of Mathematics at California State University at Fullerton.
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Table of Contents

Ch. 1 Discrete Dynamical Systems 1
Ch. 2 One-Dimensional Dynamical Systems 45
Ch. 3 R[superscript q], Matrices, and Functions 99
Ch. 4 Discrete Linear Dynamical Systems 123
Ch. 5 Nonlinear Dynamical Systems 169
Ch. 6 Chaotic Behavior 199
Ch. 7 Analysis of Four Dynamical Systems 237
App. 1 Mathematica Programs 263
App. 2: References and Projects 301
App. 3: Answers to Selected Problems 311
Index 327
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