Mathematica

    Chapter 8






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Section 8.1

Reduction, Figure 8.1 page 316 (Reduction.txt,
    requires the procedures
       LeadingMonomial, Figure 6.2 page 215)

Section 8.2

Mathematica's GroebnerBasis operator (GroebnerBasis.nb, see Exercise 1, page 333)

Section 8.3

GBasis, Figure 8.2 page 337 (GBasis.txt,
    requires the procedures
       Reduction, Figure 8.1 page 316
       SPoly (Exercise 10(c), page 334))
SimplifySideRelations, Figure 8.3 page 343 (SimplifySideRelations.txt,
    requires the procedures
       Reduction, Figure 8.1 page 316, requires additional procedures (see file),
       GBasis, Figure 8.2 page 337, requires additional procedure (see file),
       ElimPoly (Exercise 5, page 346))