| 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. 此书为英文版！ |
| 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 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 |
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