Buchberger's algorithm is a method for transforming a set of polynomials into a Gröbner basis, which has the same common zeros. It was introduced by Bruno Buchberger and has special cases when the number of variables or degrees of polynomials are equal to one. Other Gröbner basis algorithms can be found in Gröbner basis § Algorithms and implementations.

This course explores the relationship between algebra and computation, focusing on algorithms used for symbolic computation and modern algebra concepts. Subjects covered include proving combinatorial identities, Gröbner bases, symbolic integration, and experimental mathematics. Prerequisites suggest this is a mid-level course.