Lectures related to Gaussian Lemma III: Irreducibility and Primitive Polynomials

Covers the solutions of polynomial equations and the concept of logarithms.

Covers the concept of roots of n-th degree in complex numbers and their exact solutions.

Explores algebraic geometry, focusing on rings, bodies, quotient rings, and irreducible polynomials.

Covers the introduction to complex numbers and their properties, including historical background and norm calculation.

Explores irreducible polynomials, finite fields, cyclic unit groups, and field construction.

Covers solving equations over complex numbers, sequences, induction, and properties of complex numbers.

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

Explores integration on H_pxH and arithmetic properties, including norms, structures, and polynomial factorization.