This work 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 emphasised 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 concerned with the definitions and basic properties of projective space in n dimensions. It concludes with a purely algebraic account of collineations and correlations. The other two volumes of Hodge and Pedoe's classic work are also available. Together, these books give an insight into algebraic geometry that is unique and unsurpassed.
Reviews & endorsements
'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.' NatureSee more reviews
'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
Not yet reviewed
Be the first to review
Review was not posted due to profanity×
- Date Published: March 1994
- format: Paperback
- isbn: 9780521469005
- length: 452 pages
- dimensions: 228 x 151 x 29 mm
- weight: 0.73kg
- availability: Available
Table of Contents
Book I. Algebraic Preliminaries:
1. Rings and fields
2. Linear algebra, matrices, determinants
3. Algebraic dependence
4. Algebraic equations
Book II. Projective Space:
5. Projective space: algebraic definition
6. Projective space: synthetic definition
7. Grassmann coordinates
Sorry, this resource is locked
Please register or sign in to request access. If you are having problems accessing these resources please email email@example.comRegister Sign in
You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.Continue ×
Are you sure you want to delete your account?
This cannot be undone.
Thank you for your feedback which will help us improve our service.
If you requested a response, we will make sure to get back to you shortly.×