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Geometry Ancient and Modern - John R. Silvester

Geometry Ancient and Modern


Published: 1st April 2001
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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 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.

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

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

ISBN: 9780198507581
ISBN-10: 0198507585
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 328
Published: 1st April 2001
Publisher: Oxford University Press
Country of Publication: GB
Dimensions (cm): 24.1 x 16.3  x 2.3
Weight (kg): 0.58