Elementary Mathematics from an Advanced Standpoint: Geometry

by Felix Klein

"Nothing comparable to it." — Mathematics Teacher. This comprehensive three-part treatment begins with a consideration of the simplest geometric 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.

Genres: Mathematics, Textbooks

224 pages, Paperback

First published January 1, 1925

Reviews

[Eric · Rating 5 out of 5]

I have the (copyright) 1939 Dover edition of this work.