Introductory Combinatorics
Seiten
2004
|
4th edition
Pearson (Verlag)
978-0-13-100119-0 (ISBN)
Pearson (Verlag)
978-0-13-100119-0 (ISBN)
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Appropriate for an undergraduate mathematics course on combinatorics. It 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 combinatorial structures.
Appropriate for an undergraduate junior/senior level mathematics course on combinatorics.
This, the best selling book in its market, emphasizes combinatorial ideas including the pigeon-hole principle, counting techniques, permutations and combinations, Pólya counting, binomial coefficients, inclusion-exclusion principle, generating functions and recurrence relations, and combinatortial structures (matchings, designs, graphs), flows in networks.
Appropriate for an undergraduate junior/senior level mathematics course on combinatorics.
This, the best selling book in its market, emphasizes combinatorial ideas including the pigeon-hole principle, counting techniques, permutations and combinations, Pólya counting, binomial coefficients, inclusion-exclusion principle, generating functions and recurrence relations, and combinatortial structures (matchings, designs, graphs), flows in networks.
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. Pólya Counting.
Answers and Hints to Exercises.
Bibliography.
Index.
| Erscheint lt. Verlag | 13.5.2004 |
|---|---|
| Sprache | englisch |
| Maße | 236 x 153 mm |
| Gewicht | 862 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Graphentheorie |
| ISBN-10 | 0-13-100119-1 / 0131001191 |
| ISBN-13 | 978-0-13-100119-0 / 9780131001190 |
| Zustand | Neuware |
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