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Geometry: Ancient and Modern John R. Silvester

Geometry: Ancient and Modern

John R. Silvester

Published June 1st 2001
ISBN : 9780198507581
Hardcover
328 pages
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 About the Book 

This text is a guided tour of geometry, from Euclid through to algebraic geometry. It shows how mathematicians use a variety of techniques to tackle problems, and it links geometry to other branches of mathematics. It is a teaching text, with a largeMoreThis text is a guided tour of geometry, from Euclid through to algebraic geometry. It shows how mathematicians use a variety of techniques to tackle problems, and it links geometry to other branches of mathematics. It is a teaching text, with a large number 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 Platonic solids- conics- similarities- affine- projective and Mobius transformations- non-Euclidean geometry- projective geometry- and the beginnings of algebraic geometry.