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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.