Enumerative combinatorics

by Charalambides, Ch. A.

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Title Statements

Full title :Enumerative combinatorics / Charalambos A. Charalambides.

Summary

Enumerative Combinatorics presents elaborate and systematic coverage of the theory of enumeration. The first seven chapters provide the necessary background, including basic counting principles and techniques, elementary enumerative topics, and an extended presentation of generating functions and recurrence relations. The remaining seven chapters focus on more advanced topics, including, Stirling numbers, partitions of integers, partition polynomials, Eulerian numbers and Polya's counting theorem. Extensively classroom tested, this text was designed for introductory- and intermediate-level courses in enumerative combinatorics, but the far-reaching applications of the subject also make the book useful to those in operational research, the physical and social science, and anyone who uses combinatorial methods. Remarks, discussions, tables, and numerous examples support the text, and a wealth of exercises-with hints and answers provided in an appendix--further illustrate the subject's concepts, theorems, and applications.

Edition Statements

Publication Date:©2002.

Publication Statements

Publisher(s):Chapman & Hall/CRC
Place of Publication:Boca Raton
Language:eng
Publication Date:©2002.

The Physical Object

Description:1 online resource (xvi, 609 pages) : : illustrations

Edition Identifiers

ISBN:9781315273112, 131527311X, 9781482296310, 1482296314
DOI:10.1201/9781315273112
oclc:ocn958798334
LC Classification:QA164.8
Dewey Decimal:511.62

1. Basic counting principles -- 2. Permutations and combinations -- 3. Factorials, binomial and multinomial coefficients -- 4. The principle of inclusion and exclusion -- 5. Permutations with fixed points and successions -- 6. Generating functions -- 7. Recurrence relations -- 8. Stirling numbers -- 9. Distributions and occupancy -- 10. Partitions of integers -- 11. Partition polynomials -- 12. Cycles of permutations -- 13. Equivalence classes -- 14. Runs of permutations and eulerian numbers.