Algebra Vol. - I: Fields and Galois Theory
Material type:
- 9780387289304
- 512 LOR
Item type | Current library | Item location | Collection | Call number | Status | Date due | Barcode | Item holds | |
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NIMA Knowledge Centre | 9th Floor Reading Zone | General | 512 LOR (Browse shelf(Opens below)) | Available | M0025664 |
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512 HUN Algebra | 512 KNA Basic Algebra | 512 KOZ Combinatorial Algebraic Topology | 512 LOR Algebra Vol. - I: Fields and Galois Theory | 512 SPI Theory and Problems of College Algebra: Including 1940 Solved Problems Completely Solved in Detail | 512.02 DUM Abstract Algebra | 512.0221 LID Applied Abstract Algebra |
Foreword 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
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