How to Count : an Introduction to Combinatorics, Second Edition.
What's It All About? What Is Combinatorics? Classic Problems What You Need to Know Are You Sitting Comfortably? Permutations and Combinations The Combinatorial Approach Permutations CombinationsApplications to Probability Problems The Multinomial Theorem Permutations and Cycles Occupancy Proble...
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| Format: | Electronic eBook |
| Language: | English |
| Published: |
Hoboken :
CRC Press,
2010.
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| Online Access: |
Full text (MFA users only) |
| ISBN: | 9781439895153 1439895155 |
| Local Note: | ProQuest Ebook Central |
Table of Contents:
- Front cover; Table of Contents; Preface to the Second Edition; Acknowledgments; Authors; Chapter 1. What's It All About?; Chapter 2. Permutations and Combinations; Chapter 3. Occupancy Problems; Chapter 4. The Inclusion-Exclusion Principle; Chapter 5. Stirling and Catalan Numbers; Chapter 6. Partitions and Dot Diagrams; Chapter 7. Generating Functions and Recurrence Relations; Chapter 8. Partitions and Generating Functions; Chapter 9. Introduction to Graphs; Chapter 10. Trees; Chapter 11. Groups of Permutations; Chapter 12. Group Actions; Chapter 13. Counting Patterns.
- Chapter 14. Pólya CountingChapter 15. Dirichlet's PigeonholePrinciple; Chapter 16. Ramsey Theory; Chapter 17. Rook Polynomials and Matchings; Solutions to the A Exercises; Books for Further Reading; Index of Notation; Back cover.