Introductory combinatorics
著者
書誌事項
Introductory combinatorics
Prentice Hall, c1999
3rd ed
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
Appropriate for an undergraduate junior/senior level mathematics course on combinatorics.
This book emphasizes combinatorial ideas including the pigeon-hole principle, counting techniques, permutations and combinations, Polya counting, binomial coefficients, inclusion-exclusion principle, generating functions and recurrence relations, and combinatortial structures (matchings, designs, graphs).
目次
1. What is Combinatorics?
2. The Pigeonhole Principle.
3. Permutations and Combinations.
4. Generating Permutations and Combinations.
5. The Binomial Coefficients.
6. The Inclusion-Exclusion Principle and Applications.
7. Recurrence Relations and Generating Functions.
8. Special Counting Sequences.
9. Matchings in Bipartite Graphs.
10. Combinatorial Designs.
11. Introduction to Graph Theory.
12. Digraphs and Networks.
13. More on Graph Theory.
14. Polya Counting.
Answers and Hints to Exercises.
Bibliography.
Index.
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