Description
This book is a guide to geometry, from ancient times to the present. It covers a variety of topics, including construction with rulers and compasses, transformations, theorems about triangles and circles, classification of isometries, and more. The book is designed as a teaching tool, with a large number of exercises included.
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 are: ruler and compasses 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.
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