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.
| ISBN: | 9780198508250 |
| Publication date: | 5th April 2001 |
| Author: | John R. (, King's College London) Silvester |
| Publisher: | Oxford University Press |
| Format: | Paperback |
| Pagination: | 328 pages |
| Genres: |
Trigonometry Euclidean geometry |