Euclidean Division and Simple Elements

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

Explores the uniqueness of minimal polynomials and the division algorithm for polynomials.

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

Explores algebraic geometry, focusing on rings, bodies, quotient rings, and irreducible polynomials.

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