Elementary Mathematics from an Advanced Standpoint: Geometry (Dover Books on Mathematics) By Felix Klein
2004 | 224 Pages | ISBN: 0486434818 | DJVU | 2 MB
2004 | 224 Pages | ISBN: 0486434818 | DJVU | 2 MB
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. 141 figures.