High brightness metal vapor lasers have become the most bright and powerful in the visible spectral range among all existing laser types, resulting in numerous applications ranging from purely fundamental research to practical application in large-scale commercial problems such as isotope selection. This book presents a full series of fundamental problems on the development of physical fundamentals and mathematical models for practical realization of a high-power laser radiation on self-contained transitions in metal atoms. It is the first fundamental review on physics and the technique of high-brightness metal vapor lasers.