Cover image for Non-Euclidean geometry
Title:
Non-Euclidean geometry
Author:
Coxeter, H. S. M. (Harold Scott Macdonald), 1907-2003.
Edition:
Sixth edition.
Publication Information:
Washington, D.C. : Mathematical Association of America, [1998]

©1998
Physical Description:
xviii, 336 pages : illustrations ; 22 cm.
Language:
English
ISBN:
9780883855225
Format :
Book

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Library
Call Number
Material Type
Home Location
Status
Central Library QA685 .C78 1998 Adult Non-Fiction Central Closed Stacks
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Summary

Summary

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.


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

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