Lectures related to Calculation in Rationals

Covers the analysis of functions, composition, and mathematical induction.

Explores well ordering, induction, Euclidean division, and prime factorization in integers.

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

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

Covers polynomial factorization, irreducible polynomials, ideal decomposition, and the theorem of Bézout.

Explains the properties of addition and multiplication in Q with illustrative examples.

Introduces real numbers, their properties, and their significance in analysis.

Introduces real analysis basics, including functions, sequences, limits, and set properties in R.