Transformations of the Plane: Definitions and Properties

Related lectures (32)

Page 3 of 4

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

Explores the theory and applications of conformal transformations, covering special conformal transformations and isomorphic transformations.

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

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 homotheties, fixed points, and composition of water in transformations.

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