Algebra Vol. - I: Fields and Galois Theory
Lorenz, Falko
Algebra Vol. - I: Fields and Galois Theory - New York Springer Berlin Heidelberg 2006 - 293p - Universitext .
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
9780387289304 0.00
Mathematics
512 / LOR
Algebra Vol. - I: Fields and Galois Theory - New York Springer Berlin Heidelberg 2006 - 293p - Universitext .
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
9780387289304 0.00
Mathematics
512 / LOR