Description

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.

Key Features

@bul:* Phase plane analysis for systems of two linear equations * Use of equations of variation to approximate solutions * Fundamental matrices and Floquet theory for periodic systems * LaSalle invariance theorem * Additional applications: secant line method, Bison problem, juvenile-adult population model, probability theory * Appendix on the use of Mathematica for analyzing difference equaitons * Exponential generating functions * Many new examples and exercises

Readership

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

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.

Details

No. of pages:
403
Language:
English
Copyright:
© 2001
Published:
Imprint:
Academic Press
eBook ISBN:
9780080504254
Print ISBN:
9780124033306

About the authors

Walter Kelley

Affiliations and Expertise

University of Oklahoma, Norman, U.S.A.

Allan Peterson

Affiliations and Expertise

University of Nebraska, Lincoln, U.S.A.

Reviews

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