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.
@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
Intended for courses on difference equations, algorithms, discrete math, and differential equations.
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.
- No. of pages:
- © Academic Press 2001
- 5th May 2000
- Academic Press
- eBook ISBN:
- Hardcover ISBN:
University of Oklahoma, Norman, U.S.A.
University of Nebraska, Lincoln, U.S.A.
@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