We present a series of lectures on Computational Algebraic Geometry. The purpose is to introduce the basic concepts of algebraic geometry and so the basic tools for computations. The program includes among others the following subjects: affine and projective varietie, primary decomposition, Groebner bases, dimension and degree of a variety, Hilbert function and polynomial, zero-dimensional algebra, resultants (univariate and multivariate), toric resultant, bezoutian, dual affine algebra, Gorenstein algebras, algebraic residu.
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