Elementary Mathmatics from an Advan (Dover Books on Mathematics) - Softcover
Book 32 of 302: Dover Books on Mathematics
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.
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Synopsis
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 geometri
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Elementary Mathmatics from an Advan (Paperback)
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Paperback. Condition: new. Paperback. "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. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780486434810