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Difference Equations: An Introduction with Applications - Hardcover

 
9780124033306: Difference Equations: An Introduction with Applications
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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

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Review:

"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

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. The features include: 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 equations; exponential generating functions; and many new examples and exercises.

"About this title" may belong to another edition of this title.

  • PublisherAcademic Press
  • Publication date2000
  • ISBN 10 012403330X
  • ISBN 13 9780124033306
  • BindingHardcover
  • Edition number2
  • Number of pages403

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9780124033252: Difference Equations: An Introduction with Applications

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