Download or read book Geometry written by John R. Silvester and published by Oxford University Press, USA. This book was released on 2001 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.