Geometry Ancient and Modern

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

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English

Oxford University Press
01 April 2001

Mathematics & Sciences; 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 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.

By: John R. Silvester ( King's College London)
Imprint: Oxford University Press
Country of Publication: United Kingdom
Dimensions: Height: 235mm, Width: 156mm, Spine: 17mm
Weight: 465g
ISBN: 9780198508250
ISBN 10: 0198508255
Pages: 328
Publication Date: 01 April 2001
Audience: College/higher education , Primary
Format: Paperback
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

This book is densely packed with useful and interesting geometrical insights whilst the written style is engaging and often amusing ... John Silvester has written a work of quality and substance and I strongly recommended it for use by anyone seeking to extend their knowledge of geometry beyond the A level stage. As one who is intrigued by geometry, I shall certainly keep my copy permanently close to hand. The Mathematical Gazette