Discriminant

Related lectures (30)

Page 2 of 3

Covers the Class Number Formula and a counting problem related to the lattice and Lipschitz principle.

Explores integral representations, quadratic lattices, and the Hasse Principle.

Covers Simpson's rule for numerical integration and its accuracy for polynomial functions.

Covers second degree trinomials, discriminants, Viète's formulas, and root calculations.

Covers the LLL algorithm for lattice reduction and discusses Hermite's constant and Minkowski's theorem.

Explores ramification theory, residual fields, and discriminant ideals in algebraic number theory.

Covers polynomial factorization examples and polynomial division in complex numbers.

Covers solving complex number equations with discriminants and exploring roots.

Covers spherical coordinates and the determinant of Jacobi in linear algebra.

Explores quadratic spaces, norms, and quaternion algebra over fields.