Methods of Algebraic Geometry Volume 1 [Paperback]

All three volumes of Hodge and Pedoe's classic work have now been reissued. Together, these books give an insight into algebraic geometry that is unique and unsurpassed.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.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.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.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.'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 Suppl&