Transformations of the Plane: Definitions and Properties

Related lectures (32)

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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.