"The Concise Handbook of Algebra" provides a succinct, but thorough treatment of algebra. The editors have gone to great lengths to capture the core essence of the different ideas, concepts and results that make up algebra as we know it today. In a collection that spans about 150 sections organized in 9 chapters, algebraists are provided with a standard knowledge set for their areas of expertise. Other readers meanwhile, are equipped with a quick and dependable reference to the area as a whole. All of this is presented uniformally with cross-references linking the sections. The target audience consists of anyone interested in algebra, from graduate students to established researchers, including those who want to obtain a quick overview or a better understanding of the selected topics.