Contents

Chapters in this book

1. Frontmatter i
2. Dedication v
3. Contents vii
4. Preface to Second Edition xi
5. Preface to First Edition xii
6. Photo Credits xv
7. 0 Preliminaries 1
8. 1 Groups 17
9. 2 Subgroups and Homomorphisms 45
10. 3 Quotient Groups 85
11. 4 Rings 117
12. 5 Quotient Rings 145
13. 6 Domains 169
14. 7 Polynomial Rings 197
15. 8 Factorization of Polynomials 225
16. 9 Extension Fields 251
17. 10 Galois Theory 277
18. 11 Solvability 303
19. Hints for Selected Exercises 321
20. Bibliography 333
21. Index 337