Two central methods in Cartan's geometry are the theory of exterior differential systems and the method of moving frames. This book presents the treatments of both subjects, including their applications to both classic and contemporary problems. It features an introduction to $G$-structures and a treatment of the theory of connections.
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Thomas A. Ivey: College of Charleston, Charleston, SC, Joseph M. Landsberg: Texas A&M University, College Station, TX
[T]his book, like the first edition, is an excellent source for graduate students and professional mathematicians who want to learn about moving frames and G-structures in trying to understand differential geometry. --Thomas Garrity, Mathematical Reviews
All the material is carefully developed, many examples supporting the understanding. The reviewer warmly recommends this volume to mathematical university libraries. --Gabriel Eduard Vilcu, Zentralblatt MATH
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