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

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.

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

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

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

Introduces integer numbers, well-ordering, induction principles, GCD, LCM, and Bezout's theorem.

Covers the factorization of polynomials over a field, including division with remainder and common divisors.

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

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

Introduces sets, maps, divisors, prime numbers, and arithmetic principles related to integers.

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

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

Covers function composition and integers, including properties and examples.

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

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

Covers functions, integers, GCD, and reasoning by recurrence, including the Euclidean algorithm and induction principle.

Covers the analysis of measurements in the context of the Shor algorithm.