Geometry

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 the exposition. 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.