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Elementary Mathematics from an Advanced Standpoint: Geometry

Elementary Mathematics from an Advanced Standpoint: Geometry

Paperback

Series: Dover Books on Mathematics, Book 2

Geometry

Publisher Price: $14.95

ISBN10: 0486434818
ISBN13: 9780486434810
Publisher: Dover Publications
Published: Jun 18 2004
Pages: 214
Weight: 0.55
Height: 0.49 Width: 5.38 Depth: 8.44
Language: English
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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Geometry