000 | 01372nam a2200193Ia 4500 | ||
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008 | 140223b2006 xxu||||| |||| 00| 0 eng d | ||
020 |
_a9780387289304 _c0.00 |
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082 |
_a512 _bLOR |
||
100 | _aLorenz, Falko | ||
245 | _aAlgebra Vol. - I: Fields and Galois Theory | ||
260 |
_aNew York _bSpringer Berlin Heidelberg _c2006 |
||
300 | _a293p | ||
440 | _aUniversitext | ||
500 | _aForeword 1. Constructibility with Ruler and Compass 2. Algebraic Extensions 3. Simple Extensions 4. Fundamentals of Divisibility 5. Prime Factorization in Polynomial Rings. Gauss's Theorem 6. Polynomial Splitting Fields 7. Separable Extensions 8. Galois Extensions 9. Finite Fields, Cyclic Groups and Roots of Unity 10. Group Actions 11. Applications of Galois Theory to Cyclotomic Fields 12. Further Steps into Galois Theory 13. Norm and Trace 14. Binomial Equations 15. Solvability of Equations 16. Integral Ring Extensions 17. The Transcendence of )( 18. Transcendental Field Extensions 19. Hilbert's Nullstellensatz Appendix: Problems and Remarks Index of Notation Index | ||
600 | _aMathematics | ||
890 | _aUSA | ||
891 | _aScience & Technology - Maths {QuickPic} | ||
995 |
_ALOR _B008116 _CM.M-M.M _D2090.11 _E0 _F049 _G99120 _H0 _I0.00 _J2824.47 26% _L20090128 _UC _W20090619 _XHimanshu Book Co. _ZGeneral |
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999 |
_c55861 _d55861 |