Lectures related to Limits in Function Analysis

Explores complex roots, polynomials, and factorizations, including roots of unity and the fundamental theorem of algebra.

Introduces abstract concepts in linear algebra, focusing on operations with vectors and matrices.

Explores algebraic functions, limits, and behavior as x approaches infinity.

Explores interlacing polynomials, real rooted theorems, and pseudo-probabilistic methods in polynomial analysis.

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

Explores polynomial operations, properties, and subspaces in vector spaces.

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

Explores polynomials, their operations, and the concept of ideals in polynomial rings.

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