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Two central aspects of Cartan's approach to differential geometry are the theory of exterior differential systems (EDS) and the method of moving frames. This book presents thorough and modern treatments of both subjects, including their applications to both classic and contemporary problems in geometry.

Corrected July 2010 George Washington Ivey and Sarah Ann Frances Williams raised their family of eight children in Cleburne County, AL and Carroll County, GA. In later years they moved to Cullman and Walker County, AL and eventually ended up in Lawrence County, TN.

This work primarily supports the truth of Christianity by examining correlations among theology, science, and philosophy. 2500 years ago, science was barely in existence and non-distinguishable from philosophy. It probably would not have seemed strange in that day if someone had postulated that everything that is originated in the abstract. It certainly does to us, but the Prime Mover must be an abstraction because only abstractions do not need creation in order to be. 2 + 2= 4 regardless of whether anyone says so or not, and the same goes for, -Love is a good thing.- A hunk of wood is...