Difference Equations: An Introduction With Applications - Couverture rigide

Kelley, Walter G.; Peterson, Allan C.

 
9780124033252: Difference Equations: An Introduction With Applications

Synopsis

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.

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Présentation de l'éditeur

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

Revue de presse

"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

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Autres éditions populaires du même titre

9780124033306: Difference Equations: An Introduction With Applications

Edition présentée

ISBN 10 :  012403330X ISBN 13 :  9780124033306
Editeur : Academic Press Inc, 2000
Couverture rigide