11 The Theory of fields

Chapters in this book

1. Frontmatter I
2. Preface VII
3. Contents IX
4. 1 Sets, relations and functions 1
5. 2 The integers 17
6. 3 Introduction to groups 31
7. 4 Quotient groups and homomorphisms 53
8. 5 Groups acting on sets 79
9. 6 Introduction to rings 100
10. 7 Division in commutative rings 120
11. 8 Vector spaces 139
12. 9 Introduction to modules 173
13. 10 The Structure of groups 206
14. 11 The Theory of fields 227
15. 12 Galois Theory 250
16. 13 Tensor products 276
17. 14 Further topics 293
18. Bibliography 326
19. List of symbols 327
20. Index 329