Abstract

Preface * 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 * Appendix A: Worked Examples * Appendix B: Complex Numbers * Appendix C: Highlights of Linear Algebra * Appendix D: Roots in the Unit Circle * References * Index

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