Chapter 10. Introduction to the theory of fields

Chapters in this book

1. Frontmatter i
2. Contents ix
3. Chapter 1. Sets, relations and functions 1
4. Chapter 2. The integers 17
5. Chapter 3. Introduction to groups 31
6. Chapter 4. Cosets, quotient groups and homomorphisms 52
7. Chapter 5. Groups acting on sets 78
8. Chapter 6. Introduction to rings 99
9. Chapter 7. Division in rings 115
10. Chapter 8. Vector spaces 134
11. Chapter 9. The structure of groups 163
12. Chapter 10. Introduction to the theory of fields 185
13. Chapter 11. Galois theory 208
14. Chapter 12. Further topics 235
15. Backmatter 267