Geometry: Ancient and Modern

ISBN-13: 9780198508250 / Angielski / Miękka / 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

This book is densely packed with useful and interesting geometrical insights whilst the written style is engaging and often amusing ... John Silvester has written a work of quality and substance and I strongly recommended it for use by anyone seeking to extend their knowledge of geometry beyond the A level stage. As one who is intrigued by geometry, I shall certainly keep my copy permanently close to hand.