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Methods of Algebraic Geometry: Volume 2 - Cambridge Mathematical Library (Paperback)
  • Methods of Algebraic Geometry: Volume 2 - Cambridge Mathematical Library (Paperback)

Methods of Algebraic Geometry: Volume 2 - Cambridge Mathematical Library (Paperback)

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Paperback 408 Pages / Published: 19/05/1994
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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. Volume 2 gives an account of the principal methods used in developing a theory of algebraic varieties in spaces of n dimensions. Applications of these methods are also given to some of the more important varieties which occur in projective geometry. The ground field is without characteristic. Since geometry over any field without characteristic conforms to the general pattern of geometry over the field of complex numbers, a sound algebraic basis for classical geometry is provided. 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.

Publisher: Cambridge University Press
ISBN: 9780521469012
Number of pages: 408
Weight: 540 g
Dimensions: 228 x 152 x 22 mm

'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

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