Titlebook: A Primer in Tensor Analysis and Relativity; Ilya L. Shapiro Textbook 2019 Springer Nature Switzerland AG 2019 vector calculus.Special Rela

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Expansions in series of Legendre functionsIn this chapter, we shall introduce and discuss some necessary basic notions, which mainly belong to Analytic Geometry and Linear Algebra. We assume that the reader is already familiar with these disciplines, so our introduction will be brief.

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Lecture Notes in Computer ScienceIn this chapter, we collect brief solutions of selected exercises of the first part of the book. The few exercises that remain without solutions are either too simple, or (in a very few cases) a little bit more difficult—those are left as small challenges to the reader.

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Operating Regimes of an Active Multi-portLet us start with the basic elements of relativistic kinematics.

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Pulse-Width Modulation RegulatorsIn what follows we shall deal a lot with fields, hence it is important to formulate Lagrange equations for relativistic fields on a regular basis. After doing this, we go on to construct the action and derive the dynamical equations for electromagnetic potential in relativistic form.