Mathematical Part -- The Structure of the Theories of Physics -- Newtonian Physics -- The Foundation of Special Relativity -- The Physics of the Position Four-Vector -- Relativistic Kinematics -- Four-Acceleration -- Paradoxes -- Mass - Four-Momentum -- Relativistic Reactions -- Four-Force -- Irreducible Decompositions -- The Electromagnetic Field -- Relativistic Angular Momentum -- The Covariant Lorentz Transformation -- Geometric Description of Relativistic Interactions
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SUMMARY OR ABSTRACT
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This textbook develops Special Relativity in a systematic way assuming no prior knowledge of Relativity; however the student is assumed to be familiar with the basics of the standard vector calculus. The approach is structural in the sense that it develops Special Relativity in Minkowski space following the same steps with the development of Newtonian Physics in Euclidian space. A second characteristic of the book is that it discusses the mathematics of the theory independently of the physical principles, so that the reader will appreciate its role in the development of the physical theory. The book is intended to be used both as a text-book for a teaching course in Special Relativity but also as a reference book for the future. In that respect it is linked to an online repository with more than 500 problems, carefully classified according to subject area and solved in detail, providing an independent problem book on Special Relativity