The resultant of two polynomials is a polynomial expression that is equal to zero if the polynomials have a common root. It is used in number theory and computer algebra, and can be computed efficiently on a computer. The multivariate resultant is a generalization introduced by Macaulay and is an important tool of elimination theory.

Carnegie Mellon University

Spring 2012

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.

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