Lectures related to Complex Numbers: Equations and Constructibility

Gaussian Lemma III: Irreducibility and Primitive Polynomials

Explains irreducibility in polynomial equations and the properties of primitive polynomials.

Covers the classification of comport p-adic fields using integration and Igusa's local zeta functions.

Galois Theory: Solvability and Radical Extensions

Explores solvability by radicals in Galois theory and the Galois/Abel criterion for solvability.

Solving the Quintic: Dominant Balance Analysis

Explores dominant balance analysis in solving the quintic polynomial, revealing insights into root behavior and the importance of symbolic expressions.

Polynomial Equations

Covers the topic of polynomial equations and methods to solve them.

The Fundamental Theorem of Algebra

Covers the fundamental theorem of algebra, explaining how every polynomial has complex roots.

Polynomial Equations: Solutions and Elimination

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