"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. The second section, on geometric transformations, examines affine and projective transformations; higher point transformations; transformations with change of space element; and the theory of the imaginary. The text concludes with a systematic discussion of geometry and its foundations. 1939 edition. 141 figures.
- ISBN10 1312390514
- ISBN13 9781312390515
- Publish Date 28 July 2014
- Publish Status Active
- Out of Print 22 July 2015
- Publish Country US
- Imprint Lulu.com
- Format eBook
- Language English