Lectures related to Group Theory: Basics

Explores the modern definition of symmetry and its practical applications.

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

Explores isometries in Euclidean spaces, including translations, rotations, and linear symmetries, with a focus on matrices.

Explores the symmetries of Navier-Stokes equations in periodic boxes, including translations, transformations, rotations, and scaling.

Delves into modern geometry, covering transformations, isometries, and symmetries.

Explores symmetries in physics through group theory, emphasizing how symmetries keep equations of motion unchanged.

Covers simplicial and cosimplicial objects in category theory with practical examples.