Introduction to Geometry

This classic work is now available in an unabridged paperback edition. The Second Edition retains all the characterisitcs that made the first edition so popular: brilliant exposition, the flexibility permitted by relatively self–contained chapters, and broad coverage ranging from topics in the Euclidean plane, to affine geometry, projective geometry, differential geometry, and topology. The Second Edition incorporates improvements in the text and in some proofs, takes note of the solution of the 4–color map problem, and provides answers to most of the exercises.

Spis treści:
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.