About the Book:This book aims at giving the basis of primordial cosmology. The book is self-contained in the sense that all the elements for the derivations of the presented results are given. It can be used as a textbook to study cosmology. It is divided into 3 parts. Part 1 summarizes the fundamentals in theoretical physics needed in cosmology (general relativity, field theory, particle physics). Part 2 describes the standard model of cosmology and includes cosmological solutions of Einstein equations, hot big bang model, cosmological perturbation theory, cosmic microwave background anisotropies, lensing and evidences for dark matter, and inflation. Part 3 describes extensions of this model and opens up to today’s research in the field: scalar-tensor theories, supersymetry, the cosmological constant problem and acceleration of the universe, topology of the universe, grand unification and baryogenesis, topological defects and phase transitions, string inspired cosmology including branes andlatest developments. The book provides details of all derivations and leads the student up to the level of research articles.About the Author: Dr. Patrick Peter: Post-doctoral position at the Department of Applied Mathematics and Theoretical Physics (DAMTP), Cambridge University. Research positions: Charg de Recherches (1994-2002), Medaille de bronze (bronze medal) du CNRS (1995), Directeur de Recherches, Institut d’Astrophysique de Paris since 2002. Dr. Jean-Philippe Uzan: Post-doctoral position at the Department of Theoretical Physics (DPT), Geneva University. Research positions: Charg de Rechecherches au CNR, teaches the course of Theoretical Cosmology at the Ecole Normale Suprieure, teaches at the Ecole Nationale Suprieure des Mines de Paris.