Lectures related to Integers and Rings

Covers the rules of calculation for powers, roots, and more, focusing on positive numbers and integers.

Covers fundamental concepts related to integers, including properties of well-ordered sets and the principle of induction.

Covers absolute value, subtraction in integers, and comparisons between integers.

Covers GCD, LCM, and the Euclidean algorithm for efficient computation.

Explains the importance of parentheses in simplifying mathematical operations and notations.

Introduces Z/mZ for writing equations with congruence classes in modular arithmetic.

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

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