Counting: Permutations and Combinations

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Group Theory: Basics

Covers the basics of group theory, including sets, applications, and examples like permutations and rotations.

Properties of Cross Product: Algebraic Aspects

Explores the algebraic properties of the cross product and its linearity.

Linear Equations and Matrices: Solution Methods, Elementary Operations

Explores solution methods and elementary operations for linear equations and matrices, demonstrating techniques to simplify systems and obtain solutions.

Permutations and Symmetric Groups

Covers symmetric groups, transpositions, sign of a permutation, and conjugacy classes in permutations.

Algebraic Structures: Groups and Rings

Introduces algebraic structures essential for understanding mathematical objects used in science and engineering.

Determinants: Special Linear Groups and Matrix Properties

Explores the special linear group, matrix properties, and determinant theorems.

Local structure of totally disconnected locally compact groups I

Covers the local structure of totally disconnected locally compact groups, exploring properties and applications.

Permutation of In: Simplified Notation

Covers the simplified notation for expressing permutations and their applications in mathematics.

Permutations and Adjacency

Explores permutations preserving adjacency, linear transformations, groups, and sub-groups.