Lectures related to Transformations of the Plane: Definitions and Properties

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

Covers the transformation of vectors and tensors in quantum physics.

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

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

Explores geometric transformations like translation and homothety in the plane.

Covers translations, homotheties, and their analytical expressions, emphasizing stability by composition.

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

Explores critical behavior in general relativity, including scaling factor and coupling constant flow.

Explores reflection and rotation composition in analytical geometry, including finding centers and solving fixed point systems.

Explores Conformal Transformations, emphasizing scale transformations and correlation functions.

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

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

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

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

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

Explores Galilean transformations in spacetime, focusing on measurements and coordinate transformations.

Explores geometric transformations, symmetries, inversion, and isometries in plane geometry.

Explores Lorentz transformations, covariant tensors, rotational invariance, and linear transformations in vector spaces.

Covers linear transformations using matrices, focusing on linearity, image, and kernel.

Explores Lie groups, scalar fields, and vector spaces transformations.