> | # 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 Geometric Invariant Theory |  |
> A.7 Non-commutative Algebra |  | Groebner bases and applications in G-algebras
> A.8 Applications |  | Solving systems of polynomial equations, AG codes

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