1. Introduction; 2. Metrics; 3. Geodesics; 4. The geometry of curved spaces; 5. Einstein's field equations; 6. Solutions of Einstein's equations in empty space; 7. Cosmology and the Big Bang; Appendix A. Tensors of type (p; q); Appendix B. The Riemann tensor; Appendix C. The energy-momentum tensor; Appendix D. The Schwarzschild metric; Appendix E. Robertson-Walker space-time; References; Index.