1. Relativity in Classical Mechanics
1.1 Frames of Reference
1.2 Relativity
1.3 Frames of Reference
1.4 Newton's Laws
1.5 Galilean Transformations
1.6 Mass, Energy, and Momentum
1.7 Space-time
1.8 *Galilean Symmetries
1.9 Historical Note
2. Maxwell's Theory
2.1 Introduction
2.2 The Unification of Electricity and Magnetism
2.3 Charges, Fields, and the Lorentz Force Law
2.4 Stationary Distributions of Charge
2.5 The Divergence of the Magnetic Field
2.6 Inconsistency with Galilean Relativity
2.7 The Limits of Galilean Invariance
2.8 Faraday's Law of Induction
2.9 The Field of Charges in Uniform Motion
2.10 Maxwell's Equations
2.11 The Continuity Equation
2.12 Conservation of Charge
2.13 Historical Note
3. The Propagation of Light
3.1 The Displacement Current
3.2 The Source-free Equations
3.3 The Wave Equation
3.4 Monochromatic Plane Waves
3.5 Polarization
3.6 Potentials
3.7 Gauge Transformations
3.8 Photons
3.9 Relativity and the Propagation of Light
3.10 The Michelson-Morley Experiment
4. Einstein's Special Theory of Relativity
4.1 Lorentz's Contraction
4.2 Operational Definitions of Distance and Time
4.3 The Relativity of Simultaneity
4.4 Bondi's k-Factor
4.5 Time Dilation
4.6 The Two-dimensional Lorentz Transformation
4.7 Transformation of Velocity
4.8 The Lorentz Contraction
4.9 Composition of Lorentz Transformations
4.10 Rapidity
4.11 *The Lorentz and Poincare Groups
5. Lorentz Transformations in Four Dimensions
5.1 Coordinates in Four Dimensions
5.2 Four-dimensional Coordinate Transformations
5.3 The Lorentz Transformation in Four Dimensions
5.4 The Standard Lorentz Transformation
5.5 The General Lorentz Transformation
5.6 Euclidean Space and Minkowski Space
5.7 Four-vectors
5.8 Temporal and Spatial Parts
5.9 The Inner Product
5.10 Classification of Four-vectors
5.11 Causal Structure of Minkowski Space
5.12 Invariant Operators
5.13 The Frequency Four-vector
5.14 *Affine Spaces and Covectors
6. Relative Motion
……
7. Relativistic Collisions
8. Relativistic Electrodynamics
9. *Tensors and Isometries
Notes on Exercises
Vector Calculus
Bibliography
Index
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