ABSTRACT

"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."

chapter 1|34 pages

Discrete Calculus

chapter 2|38 pages

Linear Difference Equations

chapter 3|27 pages

Linear Systems of Difference Equations

chapter 4|38 pages

Stability Theory

chapter 5|22 pages

Difference Equations as Banded Matrices

chapter 6|28 pages

Applications to Numerical Analysis

chapter 8|17 pages

Models of Real World Phenomena

chapter 9|10 pages

Historically Important Equations