现代数论经典引论 第2版（英文版）

　　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/nZ
　　CHAPTER 5　Quadratic Reciprocity
　　CHAPTER 6　Quadratic Gauss Sums
　　CHAPTER 7　Finite Fields
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　　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

　　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/nZ
　　CHAPTER 5　Quadratic Reciprocity
　　CHAPTER 6　Quadratic Gauss Sums
　　CHAPTER 7　Finite Fields
　　CHAPTER 8　Gauss and Jacobi Sums
　　CHAPTER 9　Cubic and Biquadratic Reciprocity
　　CHAPTER 10　Equations over Finite Fields
　　CHAPTER 11　The Zeta Function
　　CHAPTER 12　Algebraic Number Theory
　　CHAPTER 13　Quadratic and Cyclotomic Fields
　　CHAPTER 14　The Stickelberger Relation and the Eisenstein Reciprocity Law
　　CHAPTER 15　Bernoulli Numbers
　　CHAPTER 16　Dirichlet L-functions
　　CHAPTER 17　Diophantine Equations
　　CHAPTER 18　Elliptic Curves
　　CHAPTER 19　The Mordeli-Weil Theorem
　　CHAPTER 20　New Progress in Arithmetic Geometry
　　Select Hints for Exercise
　　Bibliography
　　Index
^ 收 起　　

　　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