Catholic University of Zimbabwe Library
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Combinatorics

Morris, Joy

Combinatorics Joy Morris - 1 online resource - Open textbook library. .

Chapter 1. What is Combinatorics? -- Part I. Enumeration -- Chapter 2. Basic Counting Techniques -- Chapter 3. Permutations, Combinations, and the Binomial Theorem -- Chapter 4. Bijections and Combinatorial Proofs -- Chapter 5. Counting with Repetitions -- Chapter 6. Induction and Recursion -- Chapter 7. Generating Functions -- Chapter 8. Generating Functions and Recursion -- Chapter 9. Some Important Recursively-Defined Sequences -- Chapter 10. Other Basic Counting Techniques -- Part II. Graph Theory -- Chapter 11. Basics of Graph Theory -- Chapter 12. Moving through graphs -- Chapter 13. Euler and Hamilton -- Chapter 14. Graph Colouring -- Chapter 15. Planar graphs -- Part III. Design Theory -- Chapter 16. Latin squares -- Chapter 17. Designs -- Chapter 18. More designs -- Chapter 19. Designs and Codes -- IndexList of NotationAppendix A. Solutions to selected exercises

Combinatorics is an upper-level introductory course in enumeration, graph theory, and design theory.


In English.




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