Difference Equations

An Introduction with Applications

Inbunden, Engelska, 2000

1 289 kr

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Beskrivning

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

Produktinformation

Utgivningsdatum:2000-06-16
Mått:157 x 243 x 29 mm
Vikt:760 g
Format:Inbunden
Språk:Engelska
Antal sidor:403
Upplaga:2
Förlag:Elsevier Science
ISBN:9780124033306

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Recensioner i media

"The first edition of this book has been the best introduction to difference equations available; the second edition improves this even further." --Martin Bohner, University of Missouri-Rolla"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." --Johnny Henderson, Auburn University

Innehållsförteckning

IntroductionThe 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.