Preface to the Second Edition
Preface to the First Edition
To the Reader
Symmetry
Rings
Domains and Fields
Homomorphisms and Ideals
Quotient Rings
Polynomial Rings over Fields
Prime Ideals and Maximal Ideals
Irreducible Polynomials
Classical Formulas
Splitting Fields
The Galois Group
Roots of Unity
Solvability by Radicals
Independence of Characters
Galois Extensions
The Fundamental Theorem of Galois Theory
Applications
Galois's Great Theorem
Discriminants
Galois Groups of Quadratics. Cubics, and Quartics
Epilogue
Appendix A: Group Theory Dictionary
Appendix B: Group Theory Used in the Text
Appendix C: Ruler-Compass Constructions
Appendix D: Old-fashioned Galois Theory
References
Index
