Cover -- Half Title -- Series Page -- Title Page -- Copyright Page -- Dedication -- Contents -- Preface -- List of Figures -- List of Tables -- 1. Introduction -- 1.1. Newton's Relativity -- 1.2. Einstein's Relativity -- 2. The Physics of Special Relativity -- 2.1. Observers and Measurement -- 2.2. The Postulates of Special Relativity -- 2.3. Time Dilation and Length Contraction -- 2.4. Lorentz Transformations -- 2.5. Addition of Velocities -- 2.6. The Interval -- 3. Circle Geometry -- 3.1. The Geometry of Trigonometry -- 3.2. Distance -- 3.3. Circle Trigonometry -- 3.4. Triangle Trigonometry
3.5. Rotations -- 3.6. Projections -- 3.7. Addition Formulas -- 4. Hyperbola Geometry -- 4.1. Hyperbolic Trigonometry -- 4.2. Distance -- 4.3. Hyperbola Trigonometry -- 4.4. Triangle Trigonometry -- 4.5. Rotations -- 4.6. Projections -- 4.7. Addition Formulas -- 4.8. Combining Circle and Hyperbola Trigonometry -- 5. The Geometry of Special Relativity -- 5.1. The Surveyors -- 5.2. Spacetime Diagrams -- 5.3. Lorentz Transformations -- 5.4. Space and Time -- 5.5. The Geometry of Lorentz Transformations -- 5.6. Dot Product -- 6. Applications -- 6.1. Drawing Spacetime Diagrams
6.2. Addition of Velocities -- 6.3. Length Contraction -- 6.4. Time Dilation -- 6.5. Doppler Shift -- 7. Problems I -- 7.1. Warmup -- 7.2. Practice -- 7.3. The Getaway -- 7.4. Angles Are Not Invariant -- 7.5. Interstellar Travel -- 7.6. Observation -- 7.7. Cosmic Rays -- 7.8. Doppler Effect -- 8. Paradoxes -- 8.1. Special Relativity Paradoxes -- 8.2. The Pole and Barn Paradox -- 8.3. The Twin Paradox -- 8.4. Manhole Covers -- 9. Relativistic Mechanics -- 9.1. Proper Time -- 9.2. Velocity -- 9.3. Conservation Laws -- 9.4. Energy -- 9.5. Useful Formulas -- 9.6. Higher Dimensions -- 10. Problems II
10.1. Mass Isn't Conserved -- 10.2. Identical Particles -- 10.3. Pion Decay I -- 10.4. Mass and Energy -- 10.5. Pion Decay II -- 11. Relativistic Electromagnetism -- 11.1. Magnetism from Electricity -- 11.2. Lorentz Transformations -- 11.3. Vectors -- 11.5. The Electromagnetic Field -- 11.6. Maxwell's Equations -- 11.7. The Unification of Special Relativity -- 12. Problems III -- 12.1. Vanishing Fields -- 12.2. Parallel and Perpendicular Fields -- 13. Beyond Special Relativity -- 13.1. Problems with Special Relativity -- 13.2. Tidal Effects -- 13.3. Differential Geometry
13.4. General Relativity -- 13.5. Uniform Acceleration and Black Holes -- 14. Three-Dimensional Spacetime Diagrams -- 14.1. Introduction -- 14.2. The Rising Manhole -- 14.3. The Moving Spotlight -- 14.4. The Lorentzian Inner Product -- 14.5. Transverse Directions -- 15. Minkowski Area via Light Boxes -- 15.1. Area in Special Relativity -- 15.2. Measuring with Light Boxes -- 16. Hyperbolic Geometry -- 16.1. Non-Euclidean Geometry -- 16.2. The Hyperboloid -- 16.3. The Poincare Disk -- 16.4. The Klein Disk -- 16.5. The Pseudosphere -- 17. Calculus -- 17.1. Circle Trigonometry
