Lectures related to Number Theory: Division

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

Covers counting distinct elements using hash functions and the median trick.

Explains the Euclidean division of polynomials and demonstrates its application through examples and root-based divisibility.

Explores the properties of division in natural numbers and its relation to multiplication.

Covers the Chinese remainder theorem for commutative rings and integers, polynomial rings, and Euclidean domains.