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Elementary Mathematics from an Advanced Standpoint: Geometry
"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.
Book Details
- Publisher: Dover Publications
- Publish Date: Jun 18th, 2004
- Pages: 214
- Language: English
- Edition: undefined - undefined
- Dimensions: 8.44in - 5.38in - 0.49in - 0.55lb
- EAN: 9780486434810
- Categories: • Geometry - General