Geometry: Ancient and Modern

By John R. Silvester

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 mathematic.s It is a teaching text, with a large number of exercises woven into the exposition. Topics covered: 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, the beginnings of algebraic geometry.

• Format: Hardcover
• Language: English
• ISBN: 0198507585
• ISBN13: 9780198507581
• Release Date: June 2001
• Publisher: OUP Oxford
• Length: 328 Pages
• Weight: 1.41 lbs.
• Dimensions: 0.8" x 6.1" x 9.2"