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Discovering Mathematics with Magma

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Cover of 'Discovering Mathematics with Magma'

Table of Contents

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    Book Overview
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    Chapter 1 Some computational experiments in number theory
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    Chapter 2 Applications of the class field theory of global fields
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    Chapter 3 Some ternary Diophantine equations of signature ( n , n , 2)
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    Chapter 4 Studying the Birch and Swinnerton-Dyer conjecture for modular abelian varieties using Magma
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    Chapter 5 Computing with the analytic Jacobian of a genus 2 curve
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    Chapter 6 Graded rings and special K3 surfaces
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    Chapter 7 Constructing the split octonions
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    Chapter 8 Support varieties for modules
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    Chapter 9 When is projectivity detected on subalgebras?
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    Chapter 10 Cohomology and group extensions in Magma
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    Chapter 11 Computing the primitive permutation groups of degree less than 1000
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    Chapter 12 Computer aided discovery of a fast algorithm for testing conjugacy in braid groups
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    Chapter 13 Searching for linear codes with large minimum distance
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    Chapter 14 Colouring planar graphs
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    Chapter 15 Appendix: The Magma language
Attention for Chapter 4: Studying the Birch and Swinnerton-Dyer conjecture for modular abelian varieties using Magma
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