Description
Book SynopsisThis 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.
Table of ContentsPart I
Triangles 3
Regular Polygons 26
Isometry in the Euclidean Plane 39
Two-Dimensional Crystallography 50
Similarity in the Euclidean Plane 67
Circles and Spheres 77
Isometry and Similarity in Euclidean Space 96
Part II
Coordinates 107
Complex Numbers 135
The Five Platonic Solids 148
The Golden Section and Phyllotaxis 160
Part III
Ordered Geometry 175
Affine Geometry 191
Projective Geometry 229
Absolute Geometry 263
Hyperbolic Geometry 287
Part IV
Differential Geometry of Curves 307
The Tensor Notation 328
Differential Geometry of Surfaces 342
Geodesics 366
Topology of Surfaces 379
Four-Dimensional Geometry 396
Tables 413
References 415
Answers to Exercises 419
Index 459
