1. Background2. Factorization of polynomials3. Field extensions4. The degree of an extension5. Ruler and compasses6. Trancendental numbers7. The idea behind Galois theory8. Normality and separability9. Field degrees and group orders10. Monomorphisms automorphisms and normal closures11. The Galois correspondence12. A specific example13. Some group theorie 14. Solution of equations by radicals15. The general polynomial equation16. Finite fields17. Regular polygons18. The 'fundamental theorem of al...
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