Euclidean Algorithm

Related lectures (30)

Page 3 of 3

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

Covers the theory of polynomials, including definitions, properties, and applications.

Covers GCD, LCM, and the Euclidean algorithm for efficient computation of GCD.

Covers the properties of fields, including irreducibility and units in polynomials.

Explores Euclidean division for polynomials, emphasizing uniqueness of quotient and remainder.

Covers the construction of polynomials on a field and the concept of minimal polynomials.

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

Explores the Stein algorithm for polynomial identity testing and the minimization of a cut problem.

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

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