Difference Equations From Rabbits to Chaos /

• Main Authors: Cull, Paul (Author), Flahive, Mary (Author), Robson, Robby (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2005.
• Series: Undergraduate Texts in Mathematics,
• Subjects: Mathematics.; Matrix theory.; Algebra.; Difference equations.; Functional equations.; Combinatorics.; Difference and Functional Equations.; Linear and Multilinear Algebras, Matrix Theory.

Difference equations are models of the world around us. From clocks to computers to chromosomes, processing discrete objects in discrete steps is a common theme. Difference equations arise naturally from such discrete descriptions and allow us to pose and answer such questions as: How much? How many...

Table of Contents:

• Fibonacci Numbers
• Homogeneous Linear Recurrence Relations
• Finite Difference Equations
• Generating Functions
• Nonnegative Difference Equations
• Leslie’s Population Matrix Model
• Matrix Difference Equations
• Modular Recurrences
• Computational Complexity
• Some Nonlinear Recurrences.