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Non-Euclidean Geometry
Fifth Edition
-
H.S.M. Coxeter
Language:
English
Published/Copyright:
1965
About this book
This textbook introduces non-Euclidean geometry, and the third edition adds a new chapter, including a description of the two families of 'mid-lines' between two given lines and an elementary derivation of the basic formulae of spherical trigonometry and hyperbolic trigonometry, and other new material.
Author / Editor information
Coxeter H.S.M. :
H.S.M. Coxeter (1907-2003) was Professor of Mathematics at the University of Toronto.
Reviews
Mathematical Gazette :
"Professor Coxeter's textbook presents the fundamental principles in a clear, readable manner. It should be the standard textbook on non-Euclidean geometry for a long time to come."
"Professor Coxeter's textbook presents the fundamental principles in a clear, readable manner. It should be the standard textbook on non-Euclidean geometry for a long time to come."
Topics
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Frontmatter
i -
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PREFACE
vii -
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CONTENTS
xi -
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I. THE HISTORICAL DEVELOPMENT OF NON-EUCLIDEAN GEOMETRY
1 -
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II. REAL PROJECTIVE GEOMETRY: FOUNDATIONS
16 -
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III. REAL PROJECTIVE GEOMETRY: POLARITIES, CONICS AND QUADRICS
48 -
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IV. HOMOGENEOUS COORDINATES
71 -
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V. ELLIPTIC GEOMETRY IN ONE DIMENSION
95 -
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VI. ELLIPTIC GEOMETRY IN TWO DIMENSIONS
109 -
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VII. ELLIPTIC GEOMETRY IN THREE DIMENSIONS
128 -
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VIII. DESCRIPTIVE GEOMETRY
157 -
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IX. EUCLIDEAN AND HYPERBOLIC GEOMETRY
179 -
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X. HYPERBOLIC GEOMETRY IN TWO DIMENSIONS
199 -
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XI. CIRCLES AND TRIANGLES
213 -
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XII. THE USE OF A GENERAL TRIANGLE OF REFERENCE
224 -
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XIII. AREA
241 -
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XIV. EUCLIDEAN MODELS
252 -
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XV. CONCLUDING REMARKS
267 -
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BIBLIOGRAPHY
293 -
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INDEX
301
Publishing information
Pages and Images/Illustrations in book
eBook published on:
February 19, 2019
eBook ISBN:
9781442653207
Pages and Images/Illustrations in book
Main content:
326
eBook ISBN:
9781442653207
Audience(s) for this book
College/higher education;Professional and scholarly;
