Difference Equations

An Introduction with Applications

By

  • Walter Kelley, University of Oklahoma, Norman, U.S.A.
  • Allan Peterson, University of Nebraska, Lincoln, U.S.A.

Difference Equations, Second Edition, presents a practical introduction to this important field of solutions for engineering and the physical sciences. Topic coverage includes numerical analysis, numerical methods, differential equations, combinatorics and discrete modeling. A hallmark of this revision is the diverse application to many subfields of mathematics.
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Audience

Intended for courses on difference equations, algorithms, discrete math, and differential equations.

 

Book information

  • Published: May 2000
  • Imprint: ACADEMIC PRESS
  • ISBN: 978-0-12-403330-6

Reviews

"The first edition of this book has been the best introduction to difference equations available; the second edition improves this even further."
--Martin Bohner, University of Missouri-Rolla


"The authors have their finger on the current trends in difference equations. This is a well-written textbook by authors who are known as teachers and expositors."
--Johnny Henderson, Auburn University



Table of Contents

Introduction.The Difference Calculus.Linear Difference Equations.Stability Theory.Asymptotic Methods.The Self-Adjoint Second Order Linear Equation.The Sturm-Liouville Problem.Discrete Calculus of Variations.Boundary Value Problems for Nonlinear Equations.Partial Difference Equations.