Relativistic Invariants

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Explores relativistic kinematics, including the transformation of coordinates, the Lorentz transformation, and the invariance of the space-time interval.

Geometric Examples

Explores geometric examples related to linear applications in algebra.

Lie Groups: Representations and Transformations

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

Lorentz Transformations and Covariant Tensors

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

Linear Transformations: Matrices and Applications

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

General Relativity: Predictions and Observations

Explores general relativity, focusing on predictions and observations, including gravitational lensing, black holes, and cosmology.

Special Relativity and Thermodynamics

Introduces special relativity, covering time dilation, mass-energy equivalence, and thermodynamics, including ideal gas laws and phase transitions.

Linear Applications: Matrices and Transformations

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

Relativity: The Concept of Simultaneity in Different Reference Frames

Examines how simultaneity is relative and depends on the observer's reference frame in special relativity.

Time Coordinate in Reference Frame

Explores the importance of time coordinates in reference frames and the relativity of simultaneity.