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Contents: Table of Contents
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A. Examples

A.1 Programming  procedures and libraries, formatting output, etc.
A.2 Computing Groebner and Standard Bases  GB conversion, slim GB
A.3 Commutative Algebra  saturation, elimination, free resolution, factorization, primary decomposition, normalization, etc.
A.4 Singularity Theory  singular and critical points, invariants of hypersurface singularities, classification, resolution of singularities, etc.
A.5 Invariant Theory  G_a-invariants, invariants of finite groups
A.6 Non-commutative Algebra  Groebner bases and applications in G-algebras
A.7 Applications  Solving systems of polynomial equations, AG codes