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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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
"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.
Vendeur : Better World Books, Mishawaka, IN, Etats-Unis
Etat : Good. Former library copy. Pages intact with minimal writing/highlighting. The binding may be loose and creased. Dust jackets/supplements are not included. Includes library markings. Stock photo provided. Product includes identifying sticker. Better World Books: Buy Books. Do Good. N° de réf. du vendeur 272163-20
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Vendeur : Friends of Pima County Public Library, Tucson, AZ, Etats-Unis
hardcover. Etat : Acceptable. Hardcover. NOT Ex-library. Acceptable/fair. Slight edgewear and bumping. Clean pages and tight binding. Page edges soiled. Until further notice, USPS Priority Mail only reliable option for Hawaii. Proceeds benefit the Pima County Public Library system, which serves Tucson and southern Arizona. P32. N° de réf. du vendeur 529WDE000GQ1
Quantité disponible : 1 disponible(s)