1969•Unpublished venueRequires access

Introduction to Geometry

H. S. M. Coxeter

Abstract

Triangles. Regular Polygons. Isometry in the Euclidean Plane. Two--Dimensional Crystallography. Similarity in the Euclidean Plane. Circles and Spheres. Isometry and Similarity in Euclidean Space. Coordinates. Complex Numbers. The Five Platonic Solids. The Golden Section and Phyllotaxis. Ordered Geometry. Affine Geometry. Projective Geometry. Absolute Geometry. Hyperbolic Geometry. Differential Geometry of Curves. The Tensor Notation. Differential Geometry of Surfaces. Geodesics. Topology of Surfaces. Four--Dimensional Geometry. Tables. References. Answers to Exercises. Index.

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Key concepts: Geometry, Differential geometry, Absolute geometry, Mathematics, Non-Euclidean geometry, Projective geometry, Affine geometry, Riemannian geometry