Lectures related to Quadratic field

Explores precision of higher order finite element models and applications of quadratic finite elements in elastodynamics.

Explores the precision of finite element models and higher order asymptotic estimates.

Covers optimization methods without constraints, including gradient and line search in the quadratic case.

Explores the properties and applications of logarithmic embeddings in number fields.

Covers the embeddings of number fields and ideal classes with proofs and examples.

Explores Hermite-Minkowski theorems in number fields and ideal classes.

Covers a general introduction and discusses algebra, emphasizing the importance of unique factorization in algebraic structures.

Covers magnetic fields, Ampère's law, and magnetic dipoles with examples and illustrations.

Explores residue fields, quadratic forms, discriminants, and Dedekind recipes in algebraic number theory.

Explores quadrangular finite elements, node numbering, and application examples.

Covers the basic functions of quadratic and biquadratic rectangular elements and the serendipal family of regular rectangular finite elements.

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

Covers the topology of Adeles and their relationship with quadratic forms, polynomial varieties, and finiteness properties.

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

Explores embeddings of number fields, types, signatures, lattices, and determinants.

Covers the Dedekind function, Euler product formula, series convergence, and analytic continuation of logarithmic functions.

Explores the theory of Hermitian spaces and their applications in quadratic forms and codimension 1 spaces.

Explores irreducible polynomials, finite fields, and the construction of unique finite fields from irreducible polynomials.

Covers optimization methods, focusing on gradient methods and line search techniques.