Translations of Mathematical Monographs 1993; 317 pp; softcover Volume: 123 ISBN10: 0821853554 ISBN13: 9780821853559 List Price: US$104 Member Price: US$83.20 Order Code: MMONO/123.S
 This book describes the life and achievements of the great French mathematician, Elie Cartan. Here readers will find detailed descriptions of Cartan's discoveries in Lie groups and algebras, associative algebras, differential equations, and differential geometry, as well of later developments stemming from his ideas. There is also a biographical sketch of Cartan's life. A monumental tribute to a towering figure in the history of mathematics, this book will appeal to mathematicians and historians alike. Readership Graduate students, mathematicians, and historians. Reviews "Provide[s] a broad and clear overview of the mathematics leading to, and growing out of, the work of Cartan. For anyone wishing to understand something of Cartan's mathematics and its historical context, this book will provide a good starting point and a continuing helpful reference work ... the authors have performed an invaluable service for anyone interested in what Cartan achieved and how it relates to subsequent developments."  Historia Mathematica Table of Contents  The life and the work of É. Cartan
 Lie groups and algebras
 Projective spaces and projective metrics
 Lie pseudogroups and Pfaffian equations
 The method of moving frames and differential geometry
 Riemannian manifolds. Symmetric spaces
 Generalized spaces
 Appendix A. Rapport sur les travaux de M. Cartan by H. Poincaré
 Appendix B. Sur une dégénérescence de la géométrie euclidienne
 Appendix C. Allocution de M. Élie Cartan
 Appendix D. The influence of France in the development of mathematics
 Bibliography
