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Difference Equations
An Introduction with Applications
- 2nd Edition - May 5, 2000
- Authors: Walter G. Kelley, Allan C. Peterson
- Language: English
- Hardback ISBN:9 7 8 - 0 - 1 2 - 4 0 3 3 3 0 - 6
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
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Request a sales quoteDifference 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.
- 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.
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: 403
- Language: English
- Edition: 2
- Published: May 5, 2000
- Imprint: Academic Press
- Hardback ISBN: 9780124033306
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.