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Combinatorics : a guided tour /
Combinatorics is mathematics of enumeration, existence, construction, and optimization questions concerning finite sets. This text focuses on the first three types of questions and covers basic counting and existence principles, distributions, generating functions, recurrence relations, Pólya theor...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Washington, DC :
Mathematical Association of America,
[2010]
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| Colección: | MAA textbooks.
|
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Mazur, David R. | |
| 245 | 1 | 0 | |a Combinatorics : |b a guided tour / |c David R. Mazur. |
| 264 | 1 | |a Washington, DC : |b Mathematical Association of America, |c [2010] | |
| 300 | |a 1 online resource (xviii, 391 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a data file | ||
| 490 | 1 | |a MAA textbooks ; |v vol. 55 | |
| 504 | |a Includes bibliographical references (pages 365-367) and index. | ||
| 505 | 0 | |a Ch. 1 . Principles of Combinatorics -- ch. 2. Distributions and Combinatorial Proofs -- ch. 3. Algebraic Tools -- ch. 4. Famous Number Families -- ch. 5. Counting Under Equivalence -- ch. 6. Combinatorics on Graphs -- ch. 7. Designs and Codes -- ch. 8. Partially Ordered Sets. | |
| 588 | 0 | |a Online resource; title from digital title page (viewed on March 26, 2020). | |
| 520 | |a Combinatorics is mathematics of enumeration, existence, construction, and optimization questions concerning finite sets. This text focuses on the first three types of questions and covers basic counting and existence principles, distributions, generating functions, recurrence relations, Pólya theory, combinatorial designs, error correcting codes, partially ordered sets, and selected applications to graph theory including the enumeration of trees, the chromatic polynomial, and introductory Ramsey theory. The only prerequisites are single-variable calculus and familiarity with sets and basic proof techniques. The text emphasizes the brands of thinking that are characteristic of combinatorics: bijective and combinatorial proofs, recursive analysis, and counting problem classification. | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
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| 650 | 0 | |a Combinatorial analysis. | |
| 650 | 6 | |a Analyse combinatoire. | |
| 650 | 7 | |a MATHEMATICS |x Combinatorics. |2 bisacsh | |
| 650 | 7 | |a Combinatorial analysis |2 fast | |
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| 776 | 0 | 8 | |i Print version: |a Mazur, David R. |t Combinatorics. |d Washington, DC : Mathematical Association of America, ©2010 |z 9780883857625 |w (DLC) 2009937059 |w (OCoLC)471794290 |
| 830 | 0 | |a MAA textbooks. | |
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