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front-matter

1Constructibility with Ruler and Compass

2Algebraic Extensions

3Simple Extensions

4Fundamentals of Divisibility

5Prime Factorization in Polynomial Rings. Gauss’s Theorem

6Polynomial Splitting Fields

7Separable Extensions

8Galois Extensions

9Finite Fields, Cyclic Groups and Roots of Unity

10Group Actions

11Applications of Galois Theory to Cyclotomic Fields

12Further Steps into Galois Theory

13Norm and Trace

14Binomial Equations

15Solvability of Equations

16Integral Ring Extensions with Applications to Galois Theory

17The Transcendence of π

18Fundamentals of Transcendental Field Extensions

19Hilbert’s Nullstellensatz

back-matter