Difference Equations : An Introduction With Applications

Kelley, Walter G.; Peterson, Allan C.

ISBN 10: 012403330X / ISBN 13: 9780124033306

Editore: Academic Press, 2000

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Titolo: Difference Equations : An Introduction With ...

Casa editrice: Academic Press

Data di pubblicazione: 2000

Legatura: Rilegato

Condizione: As New

Edizione: seconda edizione

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Riassunto:

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

Recensione:

"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