Galois Theory.

Universitext -- Galois Theory -- Copyright -- Preface -- To the Reader -- Contents -- Galois Theory -- Rings -- Homomorphisms and Ideals -- Quotient Rings -- Polynomial Rings over Fields -- Prime Ideals and Maximal Ideals -- Finite Fields -- Irreducible Polynomials -- Classical Formulas -- Splitting Fields -- Solvability by Radicals -- The Galois Group -- Primitive Roots of Unity -- Insolvability of the Quintic -- Independence of Characters -- Galois Extensions -- Appendix 1 Group Theory Dictionary -- Appendix 2 Group Theory Used in the Text -- Appendix 3 Ruler-Compass Constructions -- Appendix 4 Old-fashioned Galois Theory -- References -- Index.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.