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Elementary mathematics from an advanced standpoint: Geometry

by Felix Klein

2021-01-01 01:13:23

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"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 fo... Read more
"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. Less

Book Details

File size8.5 X 5.38 X 0.68 in
Print pages224
PublisherDover Publications
Publication date June 18, 2004
LanguageEnglish
ISBN9780486434810
autor-image
Felix 1849-1925 Klein
Author
...

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