Methods of Algebraic Geometry

Volume 1

W. V. D. Hodge, D. Pedoe

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English

Cambridge University Press
09 May 1994

Analytic geometry; Algebraic geometry

Series: Cambridge Mathematical Library

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.

By: W. V. D. Hodge, D. Pedoe
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Dimensions: Height: 228mm, Width: 151mm, Spine: 29mm
Weight: 730g
ISBN: 9780521469005
ISBN 10: 0521469007
Series: Cambridge Mathematical Library
Pages: 452
Publication Date: 09 May 1994
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

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; 8. Collineations; 9. Correlations.

Reviews for Methods of Algebraic Geometry: Volume 1

'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.' 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