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Galois Theory of Linear Differential Equations

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Cover of 'Galois Theory of Linear Differential Equations'

Table of Contents

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    Book Overview
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    Chapter 1 Picard-Vessiot Theory
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    Chapter 2 Differential Operators and Differential Modules
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    Chapter 3 Formal Local Theory
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    Chapter 4 Algorithmic Considerations
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    Chapter 5 Monodromy, the Riemann-Hilbert Problem, and the Differential Galois Group
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    Chapter 6 Differential Equations on the Complex Sphere and the Riemann-Hilbert Problem
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    Chapter 7 Exact Asymptotics
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    Chapter 8 Stokes Phenomenon and Differential Galois Groups
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    Chapter 9 Stokes Matrices and Meromorphic Classification
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    Chapter 10 Universal Picard-Vessiot Rings and Galois Groups
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    Chapter 11 Inverse Problems
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    Chapter 12 Moduli for Singular Differential Equations
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    Chapter 13 Positive Characteristic
Attention for Chapter 1: Picard-Vessiot Theory
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