Elementary Mathematics From An Advanced Standpoint

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    Elementary Mathematics from an Advanced Standpoint
    By: Felix Klein
    Publisher:
    Dover Publications
    Print ISBN: 9780486434810, 0486434818
    eText ISBN: 9780486167411, 0486167410
    Pages: 224
    Format: EPUB
    Available from $ 14.95 USD
    SKU 9780486167411
    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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