Difference Equations
An Introduction with Applications
- 2nd Edition - May 5, 2000
- Latest edition
- Authors: Walter G. Kelley, Allan C. Peterson
- Language: English
Difference Equations, Second Edition, presents a practical introduction to this important field of solutions for engineering and the physical sciences. Topic coverage includ… Read more
Description
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
Key features
- 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
Readership
Intended for courses on difference equations, algorithms, discrete math, and differential equations
Table of contents
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.
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.
Review quotes
Review quotes
"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
Product details
Product details
- Edition: 2
- Latest edition
- Published: June 16, 2000
- Language: English
About the authors
About the authors
WK
Walter G. Kelley
Affiliations and expertise
University of Oklahoma, Norman, U.S.A.AP
Allan C. Peterson
Affiliations and expertise
University of Nebraska, Lincoln, U.S.A.