About this product

Product Identifiers

PublisherCambridge University Press

ISBN-100521469015

ISBN-139780521469012

eBay Product ID (ePID)552314

Product Key Features

Number of Pages408 Pages

LanguageEnglish

Publication NameMethods of Algebraic Geometry

SubjectTopology, Geometry / Algebraic

Publication Year1994

TypeTextbook

AuthorW. V. D. Hodge, Daniel Pedoe

Subject AreaMathematics

SeriesCambridge Mathematical Library

FormatTrade Paperback

Dimensions

Item Height0.8 in

Item Weight20.3 Oz

Item Length9 in

Item Width6 in

Additional Product Features

Intended AudienceScholarly & Professional

Reviews'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, '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, '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, ‘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, ‘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, '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, 'This treatise â€¦ 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

Dewey Edition20

Volume NumberVol. 2

IllustratedYes

Dewey Decimal516.35

Table Of ContentPart I. Book 3: General Theory of Algebraic Varieties in Projective Space; 10. Algebraic varieties; 11. Algebraic correspondences; 12. Intersection theory; Part II. Book 4: Quadrics and Grassmann Varieties; 13. Quadrics; 14. Grassmann varieties.

SynopsisThis 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., 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., Volume 2 gives an account of the principal methods used in developing a theory of algebraic varieties on n dimensions, and supplies applications of these methods to some of the more important varieties that occur in projective geometry.

LC Classification NumberQA564 .H57 1994