Lectures related to Addition of Fractions

Explores the concept of a commutative semi-ring based on set theory properties.

Explores division in rational numbers and the extension of addition from integers.

Covers associative and commutative operations in parallel programming, using mathematical examples and discussing challenges in preserving associativity.

Modular Arithmetic: Introducing Z/mZ

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

Decimal Development

Delves into infinite decimal numbers, exploring convergence and divergence, and showcasing examples of rational and irrational numbers.

Rational Numbers: Definitions and Operations

Covers the definition and operations involving rational numbers.

Group Theory: Basics

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

Associative Operations: Tuples and Sets

Explores associative operations on tuples and sets, demonstrating their properties through various examples and proofs.

Untitled

Integers and Rings

Covers integers, rings, subrings, invertibility, divisors of zero, and equivalence relations in formal fractions.