Introductory Combinatorics (Classic Version)
Paperback Engels 2017 5e druk 9780134689616Samenvatting
Appropriate for one- or two-semester, junior- to senior-level combinatorics courses.
This title is part of the Pearson Modern Classics series. Pearson Modern Classics are acclaimed titles at a value price. Please visit www.pearsonhighered.com/math-classics-series for a complete list of titles.
This trusted best-seller covers the key combinatorial ideas–including the pigeon-hole principle, counting techniques, permutations and combinations, Pólya counting, binomial coefficients, inclusion-exclusion principle, generating functions and recurrence relations, combinatortial structures (matchings, designs, graphs), and flows in networks. The 5th Edition incorporates feedback from users to the exposition throughout and adds a wealth of new exercises.
Specificaties
Lezersrecensies
Inhoudsopgave
- 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. Systems of Distinct Representatives
- 10. Combinatorial Designs
- 11. Introduction to Graph Theory
- 12. More on Graph Theory
- 13. Digraphs and Networks
- 14. Pólya Counting
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