Lectures related to Simple extension

Covers the concept of finite degree extensions in Galois theory, focusing on separable extensions.

Covers the Galois correspondence, relating subgroups to intermediate fields.

Multiple Integrals: Extension and Properties

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

Explores Galois theory fundamentals, including separable elements, decomposition fields, and Galois groups, emphasizing the importance of finite degree extensions and the structure of Galois extensions.

Integration of Rational Functions

Covers the integration of rational functions, focusing on decomposing functions into simpler elements.

Norm Extension in Finite Fields

Covers the uniqueness of norm extension in finite fields and the construction of norms on finite extensions of Qp.