Number Theory: Division

Related lectures (26)

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

Explains the conversion between decimal and fractional writing, including division with remainder and a trick for periodic numbers.

Covers polynomials, their operations, division theorem, and provides illustrative examples.

Covers the properties of division in integers and the relationship between divisibility and unique quotients.

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

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

Delves into decimal expansion of rational numbers through Euclidean division, emphasizing periodicity and illustrative examples.

Explores the process of division euclidienne in polynomials, emphasizing the importance of polynomial degrees during operations.

Explores total order broadcast and its equivalence to consensus in reliable systems.

Explores polynomial factorization over a field, emphasizing eigenvalues and irreducible components.