Lectures related to Natural Numbers

Explores polynomial operations, properties, and subspaces in vector spaces.

Composition of Applications in Mathematics

Explores the composition of applications in mathematics and the importance of understanding their properties.

Explains the union of sets, its properties, operations, and intersection.

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

Groups and Numbers: Mathematical Elements on Groups

Explores fundamental properties of groups and numbers, emphasizing equivalence classes and subgroup concepts.

Sets and Operations: Introduction to Mathematics

Covers the basics of sets and operations in mathematics, from set properties to advanced operations.

Matrix Algebra: Addition, Scalar Multiplication, Transpose

Introduces matrix algebra operations and their properties, including commutativity and distributivity.

Multiplication: Properties and Definitions

Explains the definition and properties of integer multiplication in various scenarios.

Intersection: Set Operations

Introduces set intersection, its properties, and its relation to arithmetic operations.

Modular Arithmetic: Introducing Z/mZ

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

Subtraction: Properties and Definitions

Covers the properties and definitions of subtraction using addition and multiplication as a basis.

Cohomology Real Projective Space

Covers cohomology in real projective spaces, focusing on associative properties and algebraic structures.

Vector Spaces: Properties and Examples

Explores vector spaces, focusing on properties, examples, and subspaces within a practical exercise on polynomials.

Elliptic Curves: Group Structure and Isomorphism

Explores the group structure and isomorphism of elliptic curves, including inverses, associativity, and compactification to the torus.

Matrix Multiplication

Covers matrix multiplication, properties, and the identity matrix in algebraic operations.

Operations in Z

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

Natural Numbers: Properties and Operations

Explores natural numbers, their properties, operations, and practical applications like calculating hours in a year.

Associative Operations: Tuples and Sets

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

Properties of Rational Multiplication

Covers the properties of rational multiplication through fractions and simple calculations, leading to the resolution of division problems.

Group Theory Basics

Introduces the basics of group theory, including operations, properties, and Lie groups.