Undergraduate Algebraic Geometry
( London Mathematical Society Student Texts )
Publication series ：London Mathematical Society Student Texts
Author： Miles Reid
Publisher： Cambridge University Press
Publication year： 1988
E-ISBN: 9781107266216
P-ISBN(Paperback): 9780521356626
Subject： O187 algebraic geometry
Keyword： 代数几何
Language： ENG
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Undergraduate Algebraic Geometry
Description
Algebraic geometry is, essentially, the study of the solution of equations and occupies a central position in pure mathematics. This short and readable introduction to algebraic geometry will be ideal for all undergraduate mathematicians coming to the subject for the first time. With the minimum of prerequisites, Dr Reid introduces the reader to the basic concepts of algebraic geometry including: plane conics, cubics and the group law, affine and projective varieties, and non-singularity and dimension. He is at pains to stress the connections the subject has with commutative algebra as well as its relation to topology, differential geometry, and number theory. The book arises from an undergraduate course given at the University of Warwick and contains numerous examples and exercises illustrating the theory.
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