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This book comprises expository articles on different aspects of gravitation and cosmology that are aimed at graduate students. The topics discussed are of contemporary interest assuming only an elementary introduction to gravitation and cosmology. The presentations are to a certain extent pedagogical in nature, and the material developed is not usually found in sufficient detail in recent textbooks in these areas. Table of Contents Non-Linear Gravitational Clustering in an Expanding Universe Dark Ages and Cosmic Reionization Probing Fundamental Constant Evolution with Redshifted Spectral Lines Averaging the Inhomogeneous Universe Signals of Cosmic Magnetic Fields From the Cosmic Microwave Background Radiation Quantum Corrections to Bekenstein-Hawking Entropy Quantum Measurement and Quantum Gravity: Many Worlds or Collapse of the Wave Function? On the Generation and Evolution of Perturbations During Inflation and Reheating Patterns in Neural Processing