Lectures related to Integers: Elementary Concepts

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

Explores linear algebra over integers, emphasizing solutions to A.x=b equations and Hermite normal form.

Covers the construction of integers through equivalence relations and their properties in mathematics.

Covers function composition and integers, including properties and examples.

Explores Lagrange multipliers for finding extrema under constraints and various proof methods.

Covers the construction and properties of rational numbers, including fractions and equivalence, with proofs on commutativity.

Covers the advanced counting topic of distinct n-duples of integers.