Lectures related to Translations and Homotheties

Explores the transformation of vectors and tensors, including rotations and representations in quantum physics.

Explores the transformation of vectors and tensors in quantum physics, emphasizing Lie groups and algebras.

Covers the transformation of vectors and tensors in quantum physics.

Covers the concept of 2D rotations and their analytical expressions.

Covers calculations in coordinates for vectors, including bases, scalar product, and determinants, with geometric interpretations and examples.

Covers tensor analysis for arbitrary coordinate systems and introduces Christoffel symbols.

Covers the geometric description of orthogonal projections and reflections in 2D, focusing on transformations and their properties.

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

Covers the analytical expression of orthogonal projections and reflections in 2D space.

Explores geometric transformations in R2 and R3, including reflections, rotations, and practical applications like billiards.

Covers translations, homotheties, and geometric transformations using vectors and matrices.

Covers translations, homotheties, and their geometric properties, including reversibility and composition.

Explores homotheties and translations in geometry, focusing on preserving alignment and distances.

Explores geometric transformations like translation and homothety in the plane.

Explores translations and homotheties, discussing their properties and practical applications in preserving geometric characteristics.

Explores rotation in analytical geometry, including center coordinates and fixed points.

Explores landmarks, coordinates, vectors, coplanarity, Cartesian equations, and geometric rules in space.

Covers landmarks, coordinate systems, frames, and terminology in coordinates, emphasizing geometric angles and orthogonal vectors.

Covers linear applications, matrices, transformations, and the principle of superposition.

Explores coordinate vector operations, from digitizing points to transforming and manipulating geometric spaces using coordinates.