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Non-Euclidean geometry

Author: H S M Coxeter
Publisher: Washington, D.C. : Mathematical Association of America, ©1998.
Series: MAA spectrum.
Edition/Format:   Book : English : 6th edView all editions and formats
Database:WorldCat
Summary:
The MAA is delighted to be the publisher of the sixth edition of this book, updated with a new section 15.9 on the author's useful concept of inversive distance. Throughout most of this book, non-Euclidean geometries in spaces of two or three dimensions are treated as specializations of real projective geometry in terms of a simple set of axioms concerning points, lines, planes, incidence, order and continuity, with  Read more...
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: H S M Coxeter
ISBN: 0883855224 9780883855225
OCLC Number: 40074192
Description: xviii, 336 pages : illustrations ; 22 cm.
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.
Series Title: MAA spectrum.
Responsibility: H.S.M. Coxeter.
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Abstract:

A reissue of Professor Coxeter's classic text on non-euclidean geometry.  Read more...

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'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 Read more...

 
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