Machine derived contents note: Preface -- 1. Special relativity -- 2. Vector analysis in special relativity -- 3. Tensor analysis in special relativity -- 4. Perfect fluids in special relativity -- 5. Preface to curvature -- 6. Curved manifolds -- 7. Physics in a curved spacetime -- 8. The Einstein field equations -- 9. Gravitational radiation -- 10. Spherical solutions for stars -- 11. Schwarzschild geometry and black holes -- 12. Cosmology -- Appendices -- References -- Index