Lectures related to Quantum Field Theory: Spectral Density

Explores correlations of the Liouville function along deterministic and independent sequences, covering key concepts and theorems.

Explores Taylor's formula, uniqueness of Taylor series, Mean Value Theorem, inflection points, and convexity.

Covers the fundamentals of polynomials, endomorphisms, division, roots, matrices, and algebraic homomorphisms.

Covers the applications of the Residue theorem in evaluating complex integrals related to real analysis.

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

Introduces linear combinations in vector spaces, operations, and polynomials of degree 2.