Difference Equations, Second Edition: An Introduction with Applications

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9780124033306: Difference Equations, Second Edition: 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 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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From the Back Cover:

"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
Difference Equations, Second Edition offers a practical introduction to this important field of solutions for engineering and the physical sciences. Topic coverage includes discrete modeling, differential equations, combinatorics and numerical methods. A hallmark of this revision are the diverse applications to many subfields of mathematics.

Review:

"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

"About this title" may belong to another edition of this title.

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