Lectures related to Rational Numbers: Construction and Properties

Covers basic properties of natural numbers, including order relations and inverses.

Covers rational numbers, amplifying and simplifying fractions, and calculating values.

Introduces Cartesian product and induction for proofs using integers and sets.

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

Covers the basics of group theory, including definitions, examples, and isometries.

Covers addition properties and operations in the set of integers Z.

Covers the concept of total order relation and properties of real numbers.

Explores the concept of fractions of rings and their uniqueness in ideals and quotients.

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

Discusses the significance of moving parentheses before calculations and the rules for simplifying expressions and prioritizing operations.