“Nothing comparable to it.” — Mathematics Teacher. This comprehensive three-part treatment begins with a consideration of the simplest geometric manifolds: line-segment, area, and volume as relative magnitudes, the Grassmann determinant principle for the plane and the Grassmann principle for space, classification of the elementary configurations of space according to their behavior under transformation of rectangular coordinates, and derivative manifolds. IV. Classification of the Elementary Configurations of Space according to their Behavior under Transformation of Rectangular Coordinates is a social reading service that stores all your books in the cloud and syncs them across any internet enabled devices helping you to discover new books and interact with authors and like-minded readers around the world. Install Bookmate for Source.