Ideals, Varieties, and Algorithms

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Deniz Naz Demirel - Ideals, Varieties and Algorithms Deniz Naz Demirel - Ideals, Varieties and Algorithms
1.1.1 Fields, Monomials, Polynomials, and Affine Space Defined 1.1.1 Fields, Monomials, Polynomials, and Affine Space Defined
1.2.4 Simple application of affine varieties - a robot arm in the plane 1.2.4 Simple application of affine varieties - a robot arm in the plane
1.2.3 Finite unions and intersections of affine varieties, and questions about affine varieties 1.2.3 Finite unions and intersections of affine varieties, and questions about affine varieties
1.5.3 The Euclidean Algorithm and Generators of Ideals in k[x] 1.5.3 The Euclidean Algorithm and Generators of Ideals in k[x]
1.5.1 The Division Algorithm and an Implication for Roots of m-th Degree Polynomials 1.5.1 The Division Algorithm and an Implication for Roots of m-th Degree Polynomials
Monomial ideals --- CAG L12.2 Monomial ideals --- CAG L12.2
Ordering monomials of multivariate polynomials --- CAG L11.3 Ordering monomials of multivariate polynomials --- CAG L11.3