Difference Equations: An Introduction With Applications - Couverture rigide

Kelley, Walter G.; Peterson, Allan C.

Couverture rigide

ISBN 10 : 0124033253 ISBN 13 : 9780124033252

Editeur : Academic Press Inc, 1997

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.

A propos du livre

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

Détails de l'édition

• Éditeur: Academic Press Inc
• Date d'édition: 1997
• Langue: anglais
• ISBN 10: 0124033253
• ISBN 13: 9780124033252
• Reliure: Relié
• Nombre de pages: 472
• Éditeur: Peterson Allan C.
• Coordonnées du fabricant: non disponible