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Geometry Ancient and Modern

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Geometry Ancient and Modern by Silvester, John R., 9780198508250
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  • ISBN: 9780198508250 | 0198508255
  • Cover: Paperback
  • Copyright: 6/21/2001
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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 mathematics. It is a teaching text, with a large number of exercises woven into theexposition. 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.

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