Lectures related to Polynomial Optimization: Theory and Applications

Covers the functional equation of zeta function and Jensen's formula in complex analysis.

Covers optimization methods without constraints, including gradient and line search in the quadratic case.

Explores polynomial equations, their degree, solutions, and domain definition.

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

Explores the process of division euclidienne in polynomials, emphasizing the importance of polynomial degrees during operations.

Covers the mechanics of rotational motion, including moments of inertia and energy conservation.

Covers the concept of module generation using a family of generators.

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