Elementary Mathematics from an Advanced Standpoint
Geometry
Nonfiction, Science & Nature, Mathematics, Geometry
| Author: | Felix Klein | ISBN: | 9780486167411 |
| Publisher: | Dover Publications | Publication: | February 10, 2012 |
| Imprint: | Dover Publications | Language: | English |
| Author: | Felix Klein |
| ISBN: | 9780486167411 |
| Publisher: | Dover Publications |
| Publication: | February 10, 2012 |
| Imprint: | Dover Publications |
| Language: | English |
"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.
"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.
