现代数论经典引论 第2版

出版时间:2003-6  出版社:世界图书出版公司  作者:Kenneth. Ireland  页数:389  
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内容概要

This book is a revised and greatly expanded version of our book Elements of Number Theory published in 1972.As with the first book the primary audience we envisage consists of upper level underfraduate mathematics majors and graduate students.We have assumed some familiarity with the material in a standard undergraduate course in abstract algebra.

书籍目录

Preface to the Second Edition Preface CHAPTER  1  Unique Factorization CHAPTER  2  Applications of Unique Factorization CHAPTER  3  Congruence CHAPTER  4 The  Structure  of  U  Z/nZCHAPTER  5 Quadratic  ReciprocityCHAPTER  6 Quadratic  Gauss  SumsCHAPTER  7 Finite  FieldsCHAPTER  8 Gauss  and  Jacobi  SumsCHAPTER  9 Cubic  and  Biquadratic  ReciprocityCHAPTER  10 Equations  over  Finite  FieldsCHAPTER  11 The  Zeta  FunctionCHAPTER  12 Algebraic  Number  TheoryCHAPTER  13 Quadratic  and  Cyclotomic  FieldsCHAPTER  14 The  Stickelberger  Relation  and  the  Eisenstein  Reciprocity  Law CHAPTER  15 Bernoulli  NumbersCHAPTER  16 Dirichlet  L-functionsCHAPTER  17 Diophantine  EquationsCHAPTER  18 Elliptic  CurvesCHAPTER  19 The  Mordeli-Weil  Theorem CHAPTER  20 New  Progress  in  Arithmetic  GeometrySelect Hints for ExerciseBibliographyIndex

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用户评论 (总计8条)

 
 

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  •   经典,研究生必读
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