Galilean Transformations: Spacetime and Measurements

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

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

Covers 2D transformations, linear maps, matrices, affine transformations, and orthogonal transformations.

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

Explores the Galilean transformation, inertial reference frames, extensive and intensive quantities, and Newton's laws in mechanics.

Explores isometries, distinguishing between rotations and reflections, and the preservation of orientation in geometric transformations.

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

Covers Gaussian random variables, affine transformations, and linear systems driven by Gaussian noise in multivariable control.

Explains Galilean transformations, inertial reference frames, and Newton's first law of motion in classical mechanics.

Covers Lorentz-Minkowski spacetime, speed of light interpretation, isometries, and special relativity principles.