Difference Equations: An Introduction with Applications, Second Edition

✍ Scribed by Walter G. Kelley, Allan C. Peterson

• Year: 2000
• Tongue: English
• Leaves: 415
• Edition: 2
• Category: Library

✦ Synopsis

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

✦ Subjects

Математика;Вычислительная математика;Метод конечных разностей;