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 |