Elementary Geometry

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Oxford University Press, 1993 - Mathematics - 307 pages
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The geometry of two and three dimensional space has long been studied for its own sake, but its results also underlie modern developments in fields as diverse as linear algebra, quantum physics, and number theory. This text is a careful introduction to Euclidean geometry that emphasizes its connections with other subjects. Glimpses of more advanced topics in pure mathematics are balanced by a straightforward treatment of the geometry needed for mechanics and classical applied mathematics. The exposition is based on vector methods; an introductory chapter relates these methods to the more classical axiomatic approach. The text is suitable for undergraduate courses in geometry and will be useful supplementary reading for students of mechanics and mathematical methods.
 

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Contents

Preface
1
Vector geometry
28
Congruence axioms
51
Euclidean geometry
63
Coordinates and equations
85
Plane geometry
104
Conies and other curves
133
Solid geometry
168
Area and volume
191
Quadric surfaces
223
Differential geometry of curves
242
Differential geometry of surfaces
266
Appendix A The trigonometric functions
291
Bibliography
300
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About the author (1993)

John Roe is at Jesus College, Oxford.

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