Lectures related to The Greatest Common Divisor

Explores polynomial roots, factorization, and the Euclidean algorithm in depth.

Covers fundamental concepts in number theory with examples and quizzes.

Explores the Euclidean algorithm, Bézout's identity, extended Euclid algorithm, and commutative groups in mathematics.

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

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

Introduces algorithms as problem-solving procedures, covering complexity, correctness, and implementation in various languages.

Introduces polynomial factorization over finite fields and efficient computation of greatest common divisors of polynomials.

Explains the Euclidean algorithm for polynomials over a field K, illustrating its application with examples.

Covers the calculation of the greatest common divisor using polynomial methods and the Euclidean algorithm.

Explores prime numbers, coprime integers, and their properties in number theory.

Introduces greatest common divisor, prime factorization, and the Euclidean Algorithm.

Explores the concept of division in number theory, including properties, algorithms, and examples.

Introduces number theory and its essential applications in cryptography.

Introduces modulo arithmetic, Euclid's algorithm, and congruence in number theory.

Covers Shor's factoring algorithm, aiming to find integer factors efficiently using quantum computation.

Covers number theory, division, remainder, congruence, prime numbers, integer representation, and the Euclidean algorithm.

Covers the calculation of eigenvalues and eigenvectors, emphasizing their significance and applications.

Explains the concept of the least common multiple for two natural numbers.

Explores well ordering, induction, Euclidean division, and prime factorization in integers.

Explores the properties of Euclidean domains, including gcd, lcm, and the Chinese remainder theorem for polynomial rings.