Elementary Geometry

Forside
Oxford University Press, 1993 - 307 sider
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.

Inni boken

Innhold

1
11
5
22
3
48
Euclidean geometry
63
Coordinates and equations
85
3
92
4
98
Plane geometry
104
8
166
Area and volume
192
Quadric surfaces
223
Differential geometry of curves
242
Differential geometry of surfaces
266
Appendix A The trigonometric functions
291
Bibliography
300
191
303

3
112
Conics and other curves
133

Vanlige uttrykk og setninger

Om forfatteren (1993)

John Roe is at Jesus College, Oxford.

Bibliografisk informasjon