Examples: algebra

• Algebraic number theory (Sage)

  Number fields: discriminants, maximal orders, units, regulators and how primes split.

  notebook · Sage · research

  number theoryalgebra
• Gröbner bases (Sage)

  Multivariate polynomials: products, gcds, factoring and Gröbner bases.

  notebook · Sage · research

  polynomialsalgebra
• Polynomials (Sage)

  Factoring over ZZ and QQ, cyclotomic and Swinnerton-Dyer polynomials, roots and gcds.

  notebook · Sage · course

  polynomialsalgebra