Difference Equations: An Introduction with Applications

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.Phase plane analysis for systems of two linear equationsUse of equations of variation to approximate solutionsFundamental matrices and Floquet theory for periodic systemsLaSalle invariance theoremAdditional applications: secant line method, Bison problem, juvenile-adult population model, probability theoryAppendix on the use of Mathematica for analyzing difference equaitonsExponential generating functionsMany new examples and exercises Read more