Geometry Ancient and Modern

John R. Silvester (, King's College London)

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Hardback

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English

Oxford University Press
01 April 2001

Trigonometry; Euclidean 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 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.

By: John R. Silvester ( King's College London)
Imprint: Oxford University Press
Country of Publication: United Kingdom
Dimensions: Height: 241mm, Width: 163mm, Spine: 23mm
Weight: 1g
ISBN: 9780198507581
ISBN 10: 0198507585
Pages: 328
Publication Date: 01 April 2001
Audience: College/higher education , Primary
Format: Hardback
Publisher's Status: Active

Preface 1: History and philosophy 2: Drawings and constructions 3: Plane geometry 4: Triangles, and triangle formulae 5: Isometries of R² 6: Isometries of R¹1 7: Circles, and other conics 8: Beyond isometry 9: Infinity 10: Complex geometry Bibliography List of notation Index

Reviews for Geometry Ancient and Modern

The approach is traditional - definitions are precise, propositions are posed, theorems and corollaries are proved - but it is not dull. Times Higher Education Supplement