Introduction to Relativity

Preface. Overview: Special Relativity, Electrodynamics and General Relativity1. Physics According to Newton - A World with No Speed Limit2. Space-Time Measurements According to Einstein3. Visualizing Relativity-Minkowski Diagrams and the Twins4. Lorentz Transformations (boosts), Addition of Velocities, and Invariant Intervals5. Illustrations and Problems in Space-Time Measurements6. Relativistic Dynamics. First Steps.7. Acceleration and Forces in Relativity. The Birth of Dynamical Fields.8. Boosting the Electrostatic Force, Electromagnetic Fields and More on Four Vectors9. Maxwell's Equations of Electrodynamics and the Wave Equation10. Magnetism in the Lab, the Discovery of Relativity and the Way Forward11. Introduction to General Relativity12. Curvature, Strong Gravity and Gravitational WavesAppendix A. Physical Constants, Data, and Conversion FactorsAppendix B. Solutions to Selected Problems Appendix C. Mathematics BackgroundAppendix D. Theorems and Concepts of Vector CalculusAppendix E. Summary of FormulasAppendix F. The Wave Equation with Sources. The Four Vector Potential and the Lorenz GaugeApppendix G. Equation of Motion in Curved Space and Christoffel Symbols, Two Dimensional Surfaces and the Geodesic Deviation and Gravity Waves