Frontmatter -- Contents -- Chapter 1. Sets, relations and functions -- Chapter 2. The integers -- Chapter 3. Introduction to groups -- Chapter 4. Cosets, quotient groups and homomorphisms -- Chapter 5. Groups acting on sets -- Chapter 6. Introduction to rings -- Chapter 7. Division in rings -- Chapter 8. Vector spaces -- Chapter 9. The structure of groups -- Chapter 10. Introduction to the theory of fields -- Chapter 11. Galois theory -- Chapter 12. Further topics -- Backmatterweiterlesen