Elementary Mathematics from a Higher Standpoint: Volume II: Geometry

by Felix Klein

First The Simplest Geometric Formations. I. Line-Segment, Area, Volume as Relative Quantities.- II. The Grassmannian Determinant Principle for the Plane.- III. The Grassmannian Principle for Space.- IV. Classification of the Elementary Configurations of Space According to their Behaviour under Transformation of Rectangular Coordinates.- V. Higher Configurations.- Part Geometric Transformations. I. Affine Transformations.- II. Projective Transformations.- III. Higher Point Transformations.- IV. Transformations with Change of Space Element.- V. Theory of the Imaginary.- Part Systematic Discussion of Geometry and its Foundations. I. The Systematic Discussion.- II. Foundations of Geometry.- Final Observations about the Teaching of Geometry. I. The Teaching in England.- II. The Teaching in France.- III.The Teaching in Italy.- IV. Teaching in Germany.- Appendix I.- Appendix II.- Index of Names.- Index of Contents.

Genres: Mathematics, Textbooks

332 pages, Paperback

First published January 1, 1925

Reviews

[Eric · Rating 5 out of 5]

I have the (copyright) 1939 Dover edition of this work.