Discrete calculus; linear difference equations; linear systems of difference equations; stability theory; difference equations as banded matrices; applications to numerical analysis; numerical methods for differential equations; models of real worldphenomena; historically important systems.

"e;Provides a clear and comprehensive overview of the fundamental theories, numerical methods, and iterative processes encountered in difference calculus. Explores classical problems such as orthological polynomials, the Euclidean algorithm, roots of polynomials, and well-conditioning."e;