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Difference Equations, Second Edition: An Introduction with Applications

โœ Scribed by Walter G. Kelley, Allan C. Peterson


Publisher
Academic Press
Year
2000
Tongue
English
Leaves
413
Edition
2
Category
Library

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โœฆ Synopsis


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 theory
Appendix on the use of Mathematica for analyzing difference equaitons
Exponential generating functions
Many new examples and exercises


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