Covers the proof of Hensel's Lemma and a review of field theory, including Newton's approximation and p-adic complex numbers.
Covers the concept of finite degree extensions in Galois theory, focusing on separable extensions.
Explores algebraic extensions, constructions, irreducible polynomials, autonomous constructions, and cutting compositions.
Covers the fundamentals of algebraic geometry, including algebraic numbers and irreducible polynomials.
Covers the concepts of local homeomorphisms and coverings in manifolds, emphasizing the conditions under which a map is considered a local homeomorphism or a covering.
