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Part I. Gravitation and Relativity: 1. Essentials of general relativity 2. Astrophysical relativity Part II. Classical Cosmology: 3. The isotropic universe 4. Gravitational lensing 5. The age and distance scales Part III. Basics of Quantum Fields: 6. Quantum mechanics and relativity 7. Quantum field theory 8. The standard model and beyond Part IV. The Early Universe: 9. The hot big bang 10. Topological defects 11. Inflationary cosmology Part V. Observational Cosmology: 12. Matter in the universe 13. Galaxies and their evolution 14. Active galaxies 15. Dynamics of structure formation 16. Cosmological density fields 17. Galaxy formation 18. Cosmic background fluctuations Hints for solutions to the problems Bibliography and references Useful numbers and formulae Index.