Lectures related to Natural Numbers

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Explores Lie Algebra's connection to Group Theory through associative operations and Jacobi identities.

Covers the properties of rational numbers and introduces the concept of an ordered field in Q.

Introduces Cartesian product and induction for proofs using integers and sets.

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