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Klappentext 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 Zusammenfassung Presents a practical introduction to the important field of solutions for engineering and the physical sciences. This book includes topics such as: 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; and more. Inhaltsverzeichnis 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.
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"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
