Theory of Lie Groups (Dover Books on Mathematics)

One of the first books to approach Lie groups from the global point of view, this introductory treatment was the standard text on the subject for many years. Topics include the classical linear groups, topological groups, manifolds, analytic groups, differential calculus of Cartan, and compact Lie groups and their representations. "The basic reference on Lie groups." — Bulletin of the American Mathematical Society.

Claude Chevalley (1909–84) received his doctorate in mathematics from the University of Paris in 1933 and was later at the Institute for Advanced Study in Princeton, New Jersey, and on the faculty of Columbia University. In the 1950s he returned to France and taught at his alma mater. In addition to his work on group theory, he made major contributions to several other areas of mathematics, including number theory and algebraic geometry. He was a member of the Bourbaki group and received the Cole Prize of the American Mathematical Society in 1941. His other books include Introduction to the Theory of Algebraic Functions of One Variable.