Intended as a textbook for courses in difference equations or difference calculus, this book uses techniques of elementary analysis and linear algebra to investigate solutions of difference equations. The text includes sections on stability theory and chaotic behaviour, as well as exercises and applications related to the discrete modelling of economic and biological phenomena. The emphasis is on computations and applications rather than theory.

Pr�sentation de l'�diteur

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

Les informations fournies dans la section � A propos du livre � peuvent faire r�f�rence � une autre �dition de ce titre.

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