Transformations of the Plane: Definitions and Properties

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Covers the transformation of vectors and tensors in quantum physics.

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

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 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 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 Lie groups, scalar fields, and vector spaces transformations.

Introduces special and general relativity, Einstein equations, and gravitational dynamics.

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

Explores indicial notation, vectors, and the transformation law in the context of mass flux density.

Explores eigenvalues, eigenvectors, and diagonalizable transformations through various examples.

Explores coarse graining in statistical physics, focusing on real space renormalization and the Ising model.

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

Explores scaling and renormalization in statistical mechanics, emphasizing critical points and invariant properties.

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

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

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