基礎(chǔ)代數(shù)幾何(第1卷)

出版時間:1998-3  出版社:北京世界圖書出版公司  作者:I.R.Shafarevich  頁數(shù):302  
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內(nèi)容概要

The first edition of this book came out just as the apparatus of algebraic geometry was reaching a stage that permitted a lucid and concise account of the foundations of the subject. The author was no longer forced into the painful choice between sacrificing rigour of exposition or overloading the clear geometrical picture with cumbersome algebraic apparatus.

書籍目錄

BOOK 1. Varieties in Projective Space   Chapter I. Basic Notions     1. Algebraic Curves in the Plane       1.1. Plane Curves       1.2. Rational Curves       1.3. Relation with Field Theory       1.4. Rational Maps       1.5. Singular and Nonsingular Points       1.6. The Projective Plane       Exercises to 1     2. Closed Subsets of Affine Space       2.1. Definition of Closed Subsets       2.2. Regular Functions on a Closed Subset       2.3. Regular Maps       Exercises to 2     3. Rational Functions       3.1. Irreducible Algebraic Subsets       3.2. Rational Functions       3.3. Rational Maps       Exercises to 3     4  Quasiprojectiove Varieties      4.1  Closied Subsets of Projectiive Space      4.2  Regular Functions      4.3  Rational Functions      4.4  Examples of Regual Maps      Exercises to 4    ……Chapter Ⅱ  Local PropertiesChapter Ⅲ  Divisors and Differential FormsChapter Ⅳ  Intersection NumbersAlgebraic AppendixRererencesIndex

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用戶評論 (總計8條)

 
 

  •   好書,代數(shù)幾何最佳的兩三本入門書之一
  •   是代數(shù)幾何入門的最好書,經(jīng)典中的經(jīng)典
  •   絕對是好書I.R.Shafarevich是個絕對大牛,這本書是一本很好的代數(shù)幾何的初級入門書,此書還是美國研究生從書中力挺的一本書,可想本書的地位非同一般。學完本書后,hartshorne的經(jīng)典教材代數(shù)幾何是一本后好的后續(xù)書,還有一本代數(shù)幾何原理都是很不錯的!
  •   作者厲害
  •   好東西就是好東西 馬上就能找到
  •   老師說這本書的特點是內(nèi)容豐富,比起其他偏重于用分析或代數(shù)方法講代數(shù)幾何的書,這本書的方法比較綜合性。
  •   剛開始看,聽說這本書不錯,與哈茲霍恩那本書的風格很不一樣。
  •   恩,適用。
 

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