Geometry

Front Cover
Springer Science & Business Media, Mar 15, 2007 - Mathematics - 313 pages
Geometry is probably the most accessible branch of mathematics, and can provide an easy route to understanding some of the more complex ideas that mathematics can present. This book is intended to introduce readers to the major geometrical topics taught at undergraduate level, in a manner that is both accessible and rigorous. The author uses world measurement as a synonym for geometry - hence the importance of numbers, coordinates and their manipulation - and has included over 300 exercises, with answers to most of them. The text includes such topics as:
- Coordinates
- Euclidean plane geometry
- Complex numbers
- Solid geometry
- Conics and quadratic surfaces
- Spherical geometry
- Quaternions
It is suitable for all undergraduate geometry courses, but it is also a useful resource for advanced sixth formers, research mathematicians, and those taking courses in physics, introductory astronomy and other science subjects.
 

Contents

2
17
The Geometry of the Euclidean Plane
63
The Geometry of Complex Numbers
99
Solid Geometry
137
Projective Geometry
183
Conics and Quadric Surfaces
211
30
229
38
236
48
244
Spherical Geometry
253
Quaternions and Octonions
287
Bibliography
305
225
307
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