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Methods of Algebraic Geometry: Volume 1 (Cambridge Mathematical Library)
 
 
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Methods of Algebraic Geometry: Volume 1 (Cambridge Mathematical Library) [Paperback]

W. V. D. Hodge (Author), D. Pedoe (Author)

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Book Description

0521469007 978-0521469005 April 29, 1994
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.

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Editorial Reviews

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'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

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.

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THE READER is assumed to be familiar with the use of homogeneous and non-homogeneous coordinates in geometry, when the coordinates are real or complex numbers. Read the first page
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