Lectures related to Euclidean division

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

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

Introduces number theory and its essential applications in cryptography.

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

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

Explores the concept of division in number theory, including properties, algorithms, and examples.

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

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

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

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

Explores Euclidean division for polynomials, emphasizing uniqueness of quotient and remainder.

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

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

Explores the history and concepts of Number Theory, including divisibility and congruence relations.

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

Covers various methods for solving polynomial equations through examples.

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

Explains polynomial division, factor decomposition, and rational function simplification.

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

Covers element by element operations in MATLAB and Octave for beginners.