MATH 445 Differential and Difference Algebra

Basic concepts of differential and difference algebra. Differential, difference and difference-differential rings and fields. The concepts of ranking, reduction, auto reduced set and characteristic set in the rings of differential and difference polynomials. Differential and difference modules. Gröbner bases. Buchberger-type algorithms. Differential and difference dimension polynomials, their computation and applications to the analysis of systems of algebraic differential and difference equations.

Cross Listed Courses

MATH 445 & MATH 645