Inflation and Quantum Cosmology discusses the inflationary universe scenario, including the problems of the standard big bang theory and the interplay between elementary-particle theory and cosmology. Inflationary universe models generate many different final perturbation spectra. For example, a model of an inflationary universe, through a casual mechanism, can predict energy density fluctuations leading to the formation of galaxies. The inflationary universe scenario makes possible simultaneous solutions to ten problems related to cosmology and elementary particle physics. One problem concerns the origin of density perturbations that show a picture of the large-scale structure of the universe. Some unexplored possibilities are related to isothermal perturbations generated during inflation or to adiabatic perturbations with a non-flat spectrum. An inflationary universe cosmology also includes stochastic inflation that describes the universe on very large scales—from fragmented mini-universes to another inflationary cosmos. The book also discusses the problem relating to the initial conditions from which an inflationary universe starts. This book is suitable for astronomers, astrophysicists, and professors of cosmology and cosmogenesis.