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Galois theory

Overview of attention for book
Cover of 'Galois theory'

Table of Contents

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    Book Overview
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    Chapter 1 Symmetry
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    Chapter 2 Rings
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    Chapter 3 Domains and Fields
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    Chapter 4 Homomorphisms and Ideals
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    Chapter 5 Quotient Rings
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    Chapter 6 Polynomial Rings over Fields
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    Chapter 7 Prime Ideals and Maximal Ideals
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    Chapter 8 Irreducible Polynomials
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    Chapter 9 Classical Formulas
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    Chapter 10 Splitting Fields
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    Chapter 11 The Galois Group
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    Chapter 12 Roots of Unity
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    Chapter 13 Solvability by Radicals
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    Chapter 14 Independence of Characters
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    Chapter 15 Galois Extensions
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    Chapter 16 The Fundamental Theorem of Galois Theory
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    Chapter 17 Applications
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    Chapter 18 Galois’s Great Theorem
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    Chapter 19 Discriminants
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    Chapter 20 Galois Groups of Quadratics, Cubics, and Quartics
Attention for Chapter 6: Polynomial Rings over Fields
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