Integers: Well Ordering and Induction

Related lectures (28)

Page 1 of 3

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

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

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

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

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

Explores the Chinese remainder theorem, systems of congruences, and Euclidean domains in integer numbers and polynomial rings.

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

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

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

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