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 o ...Celý popis
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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