- 3.1 Field Extension
- 3.2 Splitting Fields, Normal Extension and Separable Extensions
- 3.3 Galois Extension
- 3.4 Group Characters
- 3.5 Proof of Fundamental Theorem of Galois Theory
- 3.6 Finite Field
- 3.7 Elementary Symmetric Polynomial
- 3.8 Galois Group of a Polynomial
- 3.9 Cyclic and Cyclotomic (分圆) Extension
- 3.10 Radical Extensions