Lectures related to Number Theory: GCD and LCM

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

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

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

Explores elementary algebra concepts related to numeric sets and prime numbers, including unique factorization and properties.

Delves into the complexity of factoring polynomials and the implications for security.

Covers prime numbers, unique decomposition of natural numbers into prime factors, and practical implications for calculations.

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

Explores Gaussian integers, prime factorization, and number theory concepts related to prime numbers.

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

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

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

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.

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

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

Covers the basics of Shor's algorithm for factoring integers and the steps involved in the quantum algorithm.

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

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

Covers function composition and integers, including properties and examples.

Covers the Euclidean algorithm for GCD calculation and algorithmic complexity analysis.