Elementary Mathematics from an Advanced Standpoint

Elementary Mathematics from an Advanced Standpoint Synopsis

"e;Nothing comparable to it."e; — 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