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Geometry Ancient and Modern : Ancient and Modern - John R. Silvester

Geometry Ancient and Modern

Ancient and Modern

Hardcover Published: 1st April 2001
ISBN: 9780198507581
Number Of Pages: 328

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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.

Industry Reviews

"A first-year geometry teacher at King's College, London, UK guides the reader through the basic concepts and techniques of geometry, from Euclid through to algebraic geometry, in the most personable and friendly, yet stimulating, manner possible. With the stated purpose of exciting students to
reason and calculate, the author borrows ideas and techniques from analysis and algebra, which he feels should ideally be studied alongside this material. Suitable for students who took little or no geometry at school, the text includes numerous exercises with answers provided."--SciTech Book News

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): 23.39 x 15.6  x 1.91
Weight (kg): 0.58

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