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Elementary Mathematics Volume 2 Geometryby Felix Klein
Synopses & ReviewsPublisher Comments:"Nothing comparable to it." — Mathematics Teacher. This comprehensive threepart treatment begins with a consideration of the simplest geometric manifolds: linesegment, 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 News Annotation:In this reprint of Klein's classic lectures to mathematics teachers (originally translated from German and published in 1949, by Macmillan, NY), he follows his methods in his earlier book on arithmetic, algebra, and analysis, using other fields to interpret and explain basic geometry. He begins with basic geometry manifolds, continues with geometric transformations, and concludes with a systematic discussion of geometry and its foundations. Cited in Books for College Libraries, 3d ed.
Annotation ©2004 Book News, Inc., Portland, OR (booknews.com) Synopsis:This comprehensive treatment features analytic formulas, enabling precise formulation of geometric facts, and it covers geometric manifolds and transformations, concluding with a systematic discussion of fundamentals. 1939 edition. Includes 141 figures. Synopsis:This text begins with the simplest geometric manifolds, the Grassmann determinant principle for the plane and the Grassmann principle for space; and more. Also explores affine and projective transformations; higher point transformations; transformations with change of space element; and the theory of the imaginary. Concludes with a systematic discussion of geometry and its foundations. 1939 edition. 141 figures. What Our Readers Are SayingBe the first to add a comment for a chance to win!Product Details
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