This book describes the enormous capabilities of ALMA, the state of the project, and most notably the scientific prospects with such a unique facility. The book includes comprehensive reviews and recent results on most hot topics of modern Astronomy (the formation and evolution of galaxies, the physics and chemistry of the interstellar medium, and the processes of star and planet formation) with prospects to the revolutionary results to be obtained with ALMA. These topics, discussed with special emphasis on millimeter and sub-millimeter astronomy, are presented by some of the most world-wide reputed scientists in their fields.