Geometry: Ancient and Modern

ISBN-13: 9780198507581 / Angielski / Twarda / 2001 / 328 str.

John R. Silvester

Opis

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.

Recenzje

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