Fundamentals of Special Relativity -- Introduction -- The Principle of Relativity -- Groups-the Galilei group -- Galileian law of addition of velocities -- The lesson from electromagnetism -- The postulates of Special Relativity -- Consequences of the postulates -- Conclusion -- Problems -- The Lorentz transformation -- Introduction -- The Lorentz transformation -- Derivation of the Lorentz transformation -- Mathematical properties of the Lorentz transformation -- Absolute speed limit and causality -- Length contraction from the Lorentz transformation -- Time dilation from the Lorentz transformation -- Transformation of velocities and accelerations in Special Relativity -- Matrix representation of the Lorentz transformation -- The Lorentz group -- The Lorentz transformation as a rotation by an imaginary angle with imaginary time -- The GPS system -- Conclusion -- Problems -- The 4-dimensional world view -- Introduction -- The 4-dimensional world -- Spacetime diagrams -- Conclusion -- Problems -- The formalism of tensors -- Introduction -- Vectors and tensors -- Contravariant and covariant vectors -- Contravariant and covariant tensors -- Tensor algebra -- Tensor fields -- Index-free description of tensors -- The metric tensor -- The Levi-Civita symbol and tensor densities -- Conclusion -- Problems -- Tensors in Minkowski spacetime -- Introduction -- Vectors and tensors in Minkowski spacetime -- The Minkowski metric -- Scalar product and length of a vector in Minkowski spacetime -- Raising and lowering tensor indices -- Causal nature of 4-vectors -- Hypersurfaces -- Gauss' theorem -- Conclusion -- Problems -- Relativistic mechanics -- Introduction -- Relativistic dynamics of massive particles -- The relativistic force -- Angular momentum of a particle -- Particle systems -- Conservation of mass-energy -- Conclusion -- Problems -- Relativistic optics -- Introduction -- Relativistic optics: null rays -- The drag effect -- The Doppler effect -- Aberration -- Relativistic beaming -- Visual appearance of extended objects -- Conclusion -- Problems -- Measurements in Minkowski spacetime -- Introduction -- Energy of a particle measured by an observer -- Frequency measured by an observer -- A more systematic treatment of measurement -- The 3+1 splitting -- Conclusion -- Problems -- Matter in Minkowski spacetime -- Introduction -- The energy-momentum tensor -- Covariant conservation -- Energy conditions -- Angular momentum -- Perfect fluids -- The scalar field -- The electromagnetic field -- Conclusion -- Problems -- Special Relativity in arbitrary coordinates -- Introduction -- The covariant derivative -- Spacetime curves and covariant derivative -- Physics in Minkowski spacetime revisited -- Conclusions -- Problems -- Solutions to selected problems -- References -- Index.