P-adic Numbers: Completion and Norm

Related lectures (31)

Page 3 of 4

Covers manifolds, charts, compatibility, and submanifolds with smooth analytic equations.

Covers homomorphisms, algebraic extensions, cutting, splitting, and separable elements in Fok [x].

Covers the properties of finite dimensional algebras and non-semisimple representations.

Explores the classification of extensions in group theory, emphasizing split extensions and semi-direct products.

Explores separable extensions and Dedekind rings, focusing on coefficients and prime ideals.

Explores algebraic extensions, constructions, irreducible polynomials, autonomous constructions, and cutting compositions.

Explores the extension and properties of multiple integrals for continuous functions on rectangles.

Explores the Galois correspondence and solvability by radicals in polynomial equations.

Covers the algebraic closure of Qp and the definition of p-adic complex numbers, exploring roots' continuous dependence on coefficients.

Explores transcendence degree in algebraic fields and classical analytic functions.