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non euclidean geometry H. S. M. Coxeter [pdf]

Non-Euclidean Geometry by H.S.M. Coxeter

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About this book :-
Non-Euclidean Geometry written by H.S.M. Coxeter .
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.

Book Detail :-
Title: Non-Euclidean Geometry
Author(s): H.S.M. Coxeter
Publisher: The Mathematical Association of America
Series: Mathematical Association of America Textbooks
Year: 1998
Pages: 349
Type: PDF
Language: English
ISBN: 0-88385-522-4,9780883855225
Country: Canada
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About Author :-
The author Harold Scott MacDonald "Donald" Coxeter , CC, FRS, FRSC (1907–2003) British-born Canadian geometer. He is regarded as one of the greatest geometers of the 20th century.
Coxeter was born in Kensington to Harold Samuel Coxeter and Lucy (née Gee). His father had taken over the family business of Coxeter & Son, manufacturers of surgical instruments and compressed gases (including a mechanism for anaesthetising surgical patients with nitrous oxide), but was able to retire early and focus on sculpting and baritone singing; Lucy Coxeter was a portrait and landscape painter who had attended the Royal Academy of Arts. A maternal cousin was the architect Sir Giles Gilbert Scott. He worked for 60 years at the University of Toronto and published twelve books.
Since 1978, the Canadian Mathematical Society have awarded the Coxeter–James Prize in his honor. He was made a Fellow of the Royal Society in 1950 and in 1997 he was awarded their Sylvester Medal. In 1990, he became a Foreign Member of the American Academy of Arts and Sciences and in 1997 was made a Companion of the Order of Canada. In 1973 he received the Jeffery–Williams Prize. A festschrift in his honour, The Geometric Vein, was published in 1982. It contained 41 essays on geometry, based on a symposium for Coxeter held at Toronto in 1979.

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Book Contents :- Non-Euclidean Geometry written by H.S.M. Coxeter cover the following topics.
1. The Historical Development of Non Euclidean Geometry
2. Real Projective Geometry Foundations
3. Real Projective Geometry Conics and Quadrics
4. Homogeneous Coordinates
5. Elliptic Geometry in one Dimension
6. Elliptic Geometry in two Dimension
7. Elliptic Geometry in three Dimension
8. Descriptive Geometry
9. Elliptic and Hyperblic Geometry
10. Hyperblic Geometry in two Dimension
11. Circles and Triangles
12. The Use of a General Traingle of Refrence
13. Area
14. Euclidean Models
15. Concluding Remarks
Appendix Angles and Arc in the Hyperblic Plane

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