Complex Roots and PolynomialsExplores complex roots, polynomials, and factorizations, including roots of unity and the fundamental theorem of algebra.
Jordan Normal FormCovers the Jordan Normal Form theorem and invariance of kernels under transformations.
Algebraic GeometryCovers the fundamentals of algebraic geometry, including algebraic numbers and irreducible polynomials.
Interlacing PolynomialsExplores interlacing polynomials, real rooted theorems, and pseudo-probabilistic methods in polynomial analysis.
Euclidean AlgorithmExplains the Euclidean algorithm for polynomials over a field K, illustrating its application with examples.
Analyse 2: Division euclidienneExplores the process of division euclidienne in polynomials, emphasizing the importance of polynomial degrees during operations.