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A Classical Introduction to Modern Number Theory

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Cover of 'A Classical Introduction to Modern Number Theory'

Table of Contents

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    Book Overview
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    Chapter 1 Unique Factorization
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    Chapter 2 Applications of Unique Factorization
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    Chapter 3 Congruence
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    Chapter 4 The Structure of U (ℤ/ n ℤ)
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    Chapter 5 Quadratic Reciprocity
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    Chapter 6 Quadratic Gauss Sums
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    Chapter 7 Finite Fields
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    Chapter 8 Gauss and Jacobi Sums
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    Chapter 9 Cubic and Biquadratic Reciprocity
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    Chapter 10 Equations over Finite Fields
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    Chapter 11 The Zeta Function
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    Chapter 12 Algebraic Number Theory
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    Chapter 13 Quadratic and Cyclotomic Fields
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    Chapter 14 The Stickelberger Relation and the Eisenstein Reciprocity Law
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    Chapter 15 Bernoulli Numbers
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    Chapter 16 Dirichlet L -functions
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    Chapter 17 Diophantine Equations
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    Chapter 18 Elliptic Curves
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    Chapter 19 The Mordell-Weil Theorem
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    Chapter 20 New Progress in Arithmetic Geometry
Attention for Chapter 19: The Mordell-Weil Theorem
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