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This book accompanies another book by the same authors, Introduction to the Theory of the Early Universe: Hot Big Bang Theory and presents the theory of the evolution of density perturbations and relic gravity waves, theory of cosmological inflation and post-inflationary reheating. Written in a pedagogical style, the main chapters give a detailed account of the established theory, with derivation of formulas. Being self-contained, it is a useful textbook for advanced undergraduate students and graduate students. Essential materials from General Relativity, theory of Gaussian random fields and quantum field theory are collected in the appendices. The more advanced topics are approached similarly in a pedagogical way. These parts may serve as a detailed introduction to current research.

Inflationary universe. --- Cosmological inflation --- Cosmology of the early universe --- Inflation, Cosmological --- Inflationary cosmology --- Inflationary universe cosmology --- Universe, Inflationary --- Cosmology --- Inflationary universe --- Univers inflatoire --- Univers inflatoire.

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The origin and evolution of the primordial perturbation is the key to understanding structure formation in the earliest stages of the Universe. It carries clues to the types of physical phenomena active in that extreme high-density environment. Through its evolution, generating first the observed cosmic microwave background anisotropies and later the distribution of galaxies and dark matter in the Universe, it probes the properties and dynamics of the present Universe. This graduate-level textbook gives a thorough account of theoretical cosmology and perturbations in the early Universe, describing their observational consequences and showing how to relate such observations to primordial physical processes, particularly cosmological inflation. With ambitious observational programmes complementing ever-increasing sophistication in theoretical modelling, cosmological studies will remain at the cutting edge of astrophysical studies for the foreseeable future.

Perturbation (Astronomy) --- Inflationary universe. --- Perturbation (Astronomie) --- Univers inflatoire --- Cosmological inflation --- Cosmology of the early universe --- Inflation, Cosmological --- Inflationary cosmology --- Inflationary universe cosmology --- Universe, Inflationary --- Cosmology --- Celestial mechanics --- Perturbation (Mathematics)