現(xiàn)代數(shù)論經(jīng)典引論 第2版

內(nèi)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.

書(shū)籍目錄

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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