Lectures related to Number Theory: Quiz

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

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

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

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

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

Covers algorithms for big numbers, Z_n, and orders in a group, explaining arithmetic operations and cryptographic concepts.

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

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

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

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

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

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

Covers function composition and integers, including properties and examples.

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

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

Introduces deterministic approaches to identify prime numbers and covers algorithms and modular arithmetic for prime number testing.

Covers polynomial division and observer/controller approach with step-by-step examples.

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