| 1. What is Combinatorics?2. On numbers and counting3. Subsets, partitions, permutations4. Recurrence relations and generating functions5. The Principle of Inclusion and Exclusion6. Latin squares and SDRs7. Extremal set theory8. Steiner triple systems9. Finite geometry10. Ramsey's Theorem11. Graphs12. Posets, lattices and matroids13. More on partitions and permutations14. Automorphism groups and permutation groups15. Enumeration under group action16. Designs17. Error-correcting codes18. Graph colourings19. The infinite20. Where to from here?Answers to selected exercisesBibliographyIndex |
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