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Lectures on the Mordell-Weil Theorem

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Cover of 'Lectures on the Mordell-Weil Theorem'

Table of Contents

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    Book Overview
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    Chapter 1 Summary
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    Chapter 2 Heights
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    Chapter 3 Normalised Heights
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    Chapter 4 The Mordell-Weil Theorem
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    Chapter 5 Mordell’s Conjecture
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    Chapter 6 Local Calculation of Normalised Heights
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    Chapter 7 Siegel’s Method
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    Chapter 8 Baker’s Method
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    Chapter 9 Hilbert’s Irreducibility Theorem
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    Chapter 10 Construction of Galois Extensions
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    Chapter 11 Construction of Elliptic Curves of Large Rank
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    Chapter 12 The Large Sieve
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    Chapter 13 Application of the Large Sieve to Thin Sets
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