Walter G. Kelley, Allan C. Peterson, "Difference Equations, Second Edition: An Introduction with Applications"
Academic Press | 2000-05-19 | ISBN: 012403330X | 403 pages | DjVu | 5,2 MB
Academic Press | 2000-05-19 | ISBN: 012403330X | 403 pages | DjVu | 5,2 MB
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 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 heory
* Appendix on the use of Mathematica for analyzing difference equaitons
* Exponential generating functions
* Many new examples and exercises
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