Lectures related to Chebyshev polynomials

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

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

Explores interlacing families of polynomials and 1-sided Ramanujan graphs, focusing on their properties and construction methods.

Covers the complex plane, operations, transformations, and complex polynomials.

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

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

Explores trigonometric polynomials, emphasizing Fourier inversion and Plancherel formulas.

Introduces the basics of polynomials on a field, focusing on definitions, operations, and properties.

Introduces Reed Solomon Codes, their applications, polynomial definitions, interpolation, roots, and the Fundamental Theorem of Algebra.

Explores Bezier curves, emphasizing control points and curve regularity.

Explores complex roots, conjugate pairs, and quadratic equations solving strategies.

Covers the theory and operations related to polynomials, including ideals, minimal polynomials, irreducibility, and factorization.

Explores the convergence of Fourier series in L² space with trigonometric polynomials and approximation theorems.

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

Explores interpolation of regular functions, error analysis, convergence, and Chebyshev polynomials.

Explores Viète's formula for finding roots of degree two polynomials and their significance.

Explores orthogonal and orthonormal bases, Gram-Schmidt process, and orthogonal polynomials in physics.

Explores finite dimensional spaces, covering extraction process, bases generation, and space completion.

Covers the basics of polynomials, focusing on rings, operations, and properties.

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