Methods of Algebraic Geometry, Vol. 1: Book 1 - Algebraic Preliminarie / Book 2: Projective Space - Softcover

Hodge, W. V. D.; Pedoe, D.

Softcover

ISBN 10: 0521095204 ISBN 13: 9780521095204

Publisher: Cambridge University Press, 1968

Synopsis

This classic work (first published in 1947), in three volumes, provides a lucid and rigorous account of the foundations of modern algebraic geometry. The authors have confined themselves to fundamental concepts and geometrical methods, and do not give detailed developments of geometrical properties but geometrical meaning has been emphasized throughout. This first volume is divided into two parts. The first is devoted to pure algebra: the basic notions, the theory of matrices over a non-commutative ground field and a study of algebraic equations. The second part is in n dimensions. It concludes with a purely algebraic account of collineations and correlations.

About this title

Book Description

The authors have confined themselves to fundamental concepts and geometric methods, and do not provide detailed developments of geometrical properties, although geometrical meaning has been emphasized throughout in this classic 3-volume work originally published in 1947.

Review

'This treatise ... is notable for its clarity of treatment and for the rigour of its demonstrations, and will repay careful study even in those parts which deal with matters generally considered familiar.' Nature

'The book is well set out, and is a pleasure to work through.' The Times Literary Supplement

'Motivations are given. Examples of significant and useful varieties are numerous. All the algebra needed is given, and, what is more, these books tell how to translate geometry into algebra, and conversely.' Bulletin of the American Mathematical Society

Edition details

• Publisher: Cambridge University Press
• Publication date: 1968
• ISBN 10: 0521095204
• ISBN 13: 9780521095204
• Binding: Paperback
• Language: English