000 00351nam a2200145Ia 4500
999 _c170368
_d170368
020 _a9780387985411
040 _cCUS
082 _a512.3
_bROT/G
100 _aRotman, Joseph
245 0 _aGalois theory/
_cJoseph Rotman
250 _a2nd ed.
260 _aNew York:
_bSpringer,
_c1998.
300 _axiv, 157 p. :
_bill. ;
_c24 cm.
505 _aSymmetry -- 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.
650 _aMathematics
650 _aSymmetry
650 _aQuotient Rings
942 _cWB16