1 Dynamics of First-Order Difference Equations.- 2 Linear Difference Equations of Higher Order.- 6 Control Theory.- 8 Asymptotic Behavior of Difference Equations.- 9 Applications to Continued Fractions and Orthogonal Polynomials.- Answers to Selected Problems.- Maple Programs.- Appendix C Classical Orthogonal Polynomials.- Appendix D Identities and Formulas.