Examples: polynomials
- Museum tour: how do you solve polynomial equations? (after Bianca Viray)
A tour in rooms: solving polynomial equations by Newton's method, number fields, Galois groups and rational points.
polynomialsnumber theory - How do you solve polynomial equations over Q? A museum tour
Rational roots, Galois groups, rational points on a circle and on an elliptic curve, in Sage code items.
polynomialsnumber theory - Galois groups (Sage)
Galois groups of polynomials over the rationals, and how the descent found them.
group theorypolynomialsnumber theory - Gröbner bases (Sage)
Multivariate polynomials: products, gcds, factoring and Gröbner bases.
polynomialsalgebra - Polynomials (Sage)
Factoring over ZZ and QQ, cyclotomic and Swinnerton-Dyer polynomials, roots and gcds.
polynomialsalgebra