Undergraduate algebraic geometry

書誌事項

Undergraduate algebraic geometry

Miles Reid

(London Mathematical Society student texts, 12)

Cambridge University Press, 1988

  • : hard
  • : pbk

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注記

Includes index

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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詳細情報

  • NII書誌ID(NCID)
    BA0489420X
  • ISBN
    • 0521355591
    • 0521356628
  • LCCN
    88023793
  • 出版国コード
    uk
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Cambridge ; New York
  • ページ数/冊数
    viii, 129 p.
  • 大きさ
    24 cm
  • 分類
  • 件名
  • 親書誌ID
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