Geometry: Ancient and Modern

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ISBN10: 0198508255
ISBN13: 9780198508250
Publisher: Oxford University Press
Published: Jun 21 2001
Pages: 328
Weight: 1.03
Height: 0.69 Width: 6.14 Depth: 9.21
Language: English

This text 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 include: ruler and compass constructions; transformations; triangle and circle theorems; classification of isometries and groups of isometries in dimensions 2 and Platonic solids; conics; similarities; affine; projective and Mobius transformations; non-Euclidean geometry; projective geometry; and the beginnings of algebraic geometry.

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