Geometry: Ancient and Modern

Front Cover
Oxford University Press, 2001 - Mathematics - 313 pages
This is a guided tour of geometry, from Euclid through to algebraic geometry for students with little or no geometry studies. It shows how mathematicians use a variety of techniques to tackle problems, and links geometry to other branches of mathematics. It is a teaching text, with large numbers of exercises woven into the exposition. Topics covered include: ruler and compass constructions, transformations, triangle and circle theorems, classification of isometries and groups of isometries in dimensions 2 and 3, Platonic solids, conics, similarities, affine, projective and Mobius transformations, non-Euclidean geometry, projective geometry, and the beginnings of algebraic geometry.
 

Contents

Drawings and constructions
12
8
46
Triangles and triangle formulae
52
Isometries of R2
82
Isometries of R
116
533
147
Answers to exercises
153
Infinity
222
Complex geometry
267
Answers to exercises
297
Bibliography
301
Copyright

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About the author (2001)

John.R. Silvester is at King's College London.

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