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elementary mathematics from an advanced standpoint,geometry (in English)
Felix Klein
(Author)
·
Dover Publications
· Paperback
elementary mathematics from an advanced standpoint,geometry (in English) - Klein, Felix
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Synopsis "elementary mathematics from an advanced standpoint,geometry (in 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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The book is written in English.
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