Lectures related to Algebraic Structures and Integers

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

Covers function composition and integers, including properties and examples.

Covers the basics of Shor's algorithm for factoring integers and the steps involved in the quantum algorithm.

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

Covers selected topics in mathematics for students interested in foundational concepts and challenges.

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

Covers worst-case complexity, algorithms, and proofs including mathematical induction and recursion.

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

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

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