Discrete Dynamical Modeling

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Oxford University Press, 1993 - Mathematics - 428 pages
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This book presents an introduction to the wide range of techniques and applications for dynamic mathematical modeling that are useful in studying systemic change over time. The author expertly explains how the key to studying change is to determine a relationship between occurring events and events that transpire in the near future. Mathematical modeling of such cause-and-effect relationships can often lead to accurate predictions of events that occur farther in the future. Sandefur's approach uses many examples from algebra--such as factoring, exponentials and logarithms--and includes many interesting applications, such as amortization of loans, balances in savings accounts, growth of populations, optimal harvesting strategies, genetic selection and mutation, and economic models. This book will be invaluable to students seeking to apply dynamic modeling to any field in which change is observed, and will encourage them to develop a different way of thinking about the world of mathematics.
 

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Contents

Introduction to dynamic modeling
1
Firstorder linear dynamical systems
55
Chapters Probability and dynamical systems
105
Nonhomogeneous dynamical systems
149
Higherorder linear dynamical systems
189
Introduction to nonlinear dynamical systems
269
Chapter? Vectors and matrices
301
Chapters Dynamical systems of several equations
333
Bibliography
405
Index
425
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About the author (1993)

James T. Sandefur is at Georgetown University.

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