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Special Relativity
This lecture covers the main points of special relativity, including the use of natural units, symmetries of dynamical equations, Lorentz and Poincare transformations, 4-vectors, Maxwell equations, and the concept of proper time. The instructor discusses the importance of arbitrary coordinate systems, tensor analysis, and the metric structure of spacetime. Examples of spherical and cylindrical coordinates are provided, along with the calculation of volume elements. The lecture concludes with a detailed explanation of scalar products, covariant and contravariant vectors, and the significance of the metric structure in Euclidean space.