Geometry Ancient and Modern

Paperback | February 15, 2001

byJohn R. Silvester

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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 theexposition. 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.

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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 theexposition. Topics covered: ruler and compass r ...

John.R. Silvester is at King's College London.

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Format:PaperbackPublished:February 15, 2001Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0198508255

ISBN - 13:9780198508250

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Table of Contents

Preface1. History and philosophy2. Drawings and constructions3. Plane geometry4. Triangles, and triangle formulae5. Isometries of R26. Isometries of R117. Circles, and other conics8. Beyond isometry9. Infinity10. Complex geometryBibliographyList of notationIndex