TY - BOOK AU - Rotman, Joseph TI - Galois theory SN - 9780387985411 U1 - 512.3 PY - 1998/// CY - New York PB - Springer KW - Mathematics KW - Symmetry KW - Quotient Rings N1 - 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, Dubics, and Quartics -- Epilogue -- Appendices ER -