BookReview Symmetry and theMonster , One of the Greatest
نویسنده
چکیده
A new book about simple groups has appeared, this one for general audiences. The title refers to the wide role of groups as symmetries in mathematics and science, as well as to the “monster”, a particular large finite simple group that has gotten much attention during the last three decades. The author, Mark Ronan, does research in groups and geometries. This book tells a history of simple groups, mainly continuous groups (Lie groups) and finite simple groups, in a nontechnical way. (Many kinds of groups, simple and otherwise, constructed in combinatorial group theory, arithmetic, topology, etc., are not considered.) Historical figures in the story are described (Niels Abel, Évariste Galois, Wilhelm Killing, Felix Klein, Friedrich Engel, William Burnside, . . . ). There are lengthy accounts of their personal and professional dramas. The effects of the world wars andmajor societal changes on mathematics are discussed. Group theorists from recent decades, many of whom are still active, are quoted. The author gives an account of connections between continuous and finite simple
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تاریخ انتشار 2006