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eBook details

• Title: Elementary Mathematics from an Advanced Standpoint
• Author : Felix Klein
• Release Date : January 10, 2012
• Genre: Mathematics,Books,Science & Nature,
• Pages : * pages
• Size : 10365 KB

Description

"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.

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