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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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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