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OverviewThis 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. Full Product DetailsAuthor: John R. Silvester (, King's College London)Publisher: Oxford University Press Imprint: Oxford University Press Dimensions: Width: 16.30cm , Height: 2.30cm , Length: 24.10cm Weight: 0.586kg ISBN: 9780198507581ISBN 10: 0198507585 Pages: 328 Publication Date: 05 April 2001 Audience: College/higher education , Tertiary & Higher Education Format: Hardback Publisher's Status: Active Availability: To order Stock availability from the supplier is unknown. We will order it for you and ship this item to you once it is received by us. Table of ContentsPreface 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 IndexReviewsThe approach is traditional - definitions are precise, propositions are posed, theorems and corollaries are proved - but it is not dull. Times Higher Education Supplement Author InformationTab Content 6Author Website:Countries AvailableAll regions |