Geometry Ancient and Modern, by Silvester, John R.
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- ISBN: 9780198508250 | 0198508255
- Cover: Paperback
- Copyright: 6/21/2001
This book 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 theexposition. Topics covered: ruler and compass r s1tructions, 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, the beginnings of algebraic geometry.