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An Introduction to Difference Equations

  • Saber N. Elaydi

Part of the Undergraduate Texts in Mathematics book series (UTM)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Saber N. Elaydi
    Pages 49-111
  3. Saber N. Elaydi
    Pages 113-162
  4. Saber N. Elaydi
    Pages 163-220
  5. Saber N. Elaydi
    Pages 221-257
  6. Saber N. Elaydi
    Pages 259-302
  7. Saber N. Elaydi
    Pages 303-349
  8. Saber N. Elaydi
    Pages 351-369
  9. Back Matter
    Pages 371-390

About this book

Introduction

This book grew out of lecture notes I used in a course on difference equations that I taught at Trinity University for the past five years. The classes were largely pop­ ulated by juniors and seniors majoring in Mathematics, Engineering, Chemistry, Computer Science, and Physics. This book is intended to be used as a textbook for a course on difference equations at the level of both advanced undergraduate and beginning graduate. It may also be used as a supplement for engineering courses on discrete systems and control theory. The main prerequisites for most of the material in this book are calculus and linear algebra. However, some topics in later chapters may require some rudiments of advanced calculus. Since many of the chapters in the book are independent, the instructor has great flexibility in choosing topics for the first one-semester course. A diagram showing the interdependence of the chapters in the book appears following the preface. This book presents the current state of affairs in many areas such as stability, Z-transform, asymptoticity, oscillations and control theory. However, this book is by no means encyclopedic and does not contain many important topics, such as Numerical Analysis, Combinatorics, Special functions and orthogonal polyno­ mials, boundary value problems, partial difference equations, chaos theory, and fractals. The nonselection of these topics is dictated not only by the limitations imposed by the elementary nature of this book, but also by the research interest (or lack thereof) of the author.

Keywords

Mathematica difference equation stability

Authors and affiliations

  • Saber N. Elaydi
    • 1
  1. 1.Department of MathematicsTrinity UniversitySan AntonioUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4757-9168-6
  • Copyright Information Springer-Verlag New York 1996
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4757-9170-9
  • Online ISBN 978-1-4757-9168-6
  • Series Print ISSN 0172-6056
  • Buy this book on publisher's site