Non-Euclidean Geometry
Non-Euclidean Geometry
This is a reissue of Professor Coxeter's classic text on non-Euclidean geometry. It begins with a historical introductory chapter, and then devotes three chapters to surveying real projective geometry, and three to elliptic geometry. After this the Euclidean and hyperbolic geometries are built up axiomatically as special cases of a more general 'descriptive geometry'. This is essential reading for anybody with an interest in geometry.
- Coxeter is master expositor
- Subject is back in vogue
- Classic text
Reviews & endorsements
'No living geometer writes more clearly and beautifully about difficult topics than world famous Professor H. S. M. Coxeter. When non-Euclidean geometry was first developed, it seemed little more than a curiosity with no relevance to the real world. Then to everyone's amazement, it turned out to be essential to Einstein's general theory of relativity! Coxeter's book has remained out of print for too long. Hats off to the MAA for making this classic available once more.' Martin Gardner
'Coxeter's geometry books are a treasure that should not be lost. I am delighted to see Non-Euclidean Geometry back in print.' Doris Schattschneider
Product details
No date availablePaperback
9780883855225
353 pages
217 × 152 × 20 mm
0.458kg
99 b/w illus.
Table of Contents
- 1. The historical development of non-Euclidean geometry
- 2. Real projective geometry
- 3. Real projective geometry: polarities conics and quadrics
- 4. Homogeneous coordinates
- 5. Elliptic geometry in one dimension
- 6. Elliptic geometry in two dimensions
- 7. Elliptic geometry in three dimensions
- 8. Descriptive geometry
- 9. Euclidean and hyperbolic
- 10. Hyperbolic geometry in two dimensions
- 11. Circles and triangles
- 12. The use of a general triangle of reference
- 13. Area
- 14. Euclidean models
- 15. Concluding remarks.
