Undergraduate algebraic geometry
著者
書誌事項
Undergraduate algebraic geometry
（London Mathematical Society student texts, 12）
Cambridge University Press, 1990, c1988
- : pbk
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注記
"First published 1988, reprinted 1990 (with corrections)" -- Verso of t.p
Description based on: 1992 reprinting
Includes index
"First published 1988, reprinted 1990 (with corrections), transferred to digital printing 2001 " -- T.p. verso of 2001 printing
内容説明・目次
内容説明
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.
目次
- 1. Playing with plane curves
- 2. The category of affine varieties
- 3. Applications
- Index.
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