Special Relativity, Electrodynamics, and General Relativity: From Newton to Einstein

Special Relativity, Electrodynamics, and General Relativity: From Newton to Einstein is intended to teach students of physics, astrophysics, astronomy, and cosmology how to think about special and general relativity in a fundamental but accessible way. Designed to render any reader a "master of relativity,” all material on the subject is comprehensible and derivable from first principles. The book emphasizes problem solving, contains abundant problem sets, and is conveniently organized to meet the needs of both student and instructor.

Fully revised and expanded second edition with improved figuresEnlarged discussion of dynamics and the relativistic version of Newton’s second lawResolves the twin paradox from the principles of special and general relativityIncludes new chapters which derive magnetism from relativity and electrostaticsDerives Maxwell’s equations from Gauss’ law and the principles of special relativityIncludes new chapters on differential geometry, space-time curvature, and the field equations of general relativityIntroduces black holes and gravitational waves as illustrations of the principles of general relativity and relates them to the 2015 and 2017 observational discoveries of LIGO

1. Physics According to Newton - A World with No Speed Limit 2. Space-Time Measurements According to Einstein 3. Visualizing Relativity—Minkowski Diagrams and the Twins 4. Lorentz Transformations (boosts), Addition of Velocities, and Invariant Intervals 5. Illustrations and Problems in Space-Time Measurements 6. 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 Vectors 9.  Maxwell’s Equations of Electrodynamics and the Wave Equation 10. Magnetism in the Lab, the Discovery of Relativity and the Way Forward 11. Introduction to General Relativity 12. Curvature, Strong Gravity and Gravitational Waves

Appendix A. Physical Constants, Data, and Conversion Factors B. Solutions to Selected Problems  C. Mathematics Background D. Theorems and Concepts of Vector Calculus E. Summary of Formulas F. The Wave Equation with Sources. The Four Vector Potential and the Lorenz Gauge G. Equation of Motion in Curved Space and Christoffel Symbols, Two Dimensional Surfaces and the Geodesic Deviation and Gravity Waves