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Tables of Contents for Galois Theory
Chapter/Section Title
Page #
Page Count
Preface to the First Edition
Preface to the Second Edition
Notes to the Reader
Historical Introduction
The Life of Galois
Overview
Background
Factorization of Polynomials
Field Extensions
The Degree of an extension
Ruler and Compasses
Transcendental Numbers
The Idea behind Galois Theory
Normality and Separability
Field Degrees and Group Order
Monomorphisms, Automorphisms, and Normal Closures
The Galois Correspondence
A Specific Example
Soluble and Simple Groups
Solution of Equation by Radicals
The General Polynomial Equation
Finite Fields
Regular Polygons
Calculating Galois Groups
The Fundamental Theorem of Algebra
Selected Solutions
References
Index
Symbol Index