000 02474cam a2200301 a 4500
999 _c172
_d172
001 15433993
003 OSt
005 20191128145159.0
008 080829s2010 njua b 001 0 eng
010 _a 2008038478
020 _a9780136020400 (hbk. : alk. paper)
035 _a(OCoLC)ocn245024866
040 _aDLC
_cKCST
_dSINIE
050 0 0 _aQA164
_b.B76 2010
082 0 0 _a511.6
_222
_bBr In
100 1 _aBrualdi, Richard A.
_9634
245 1 0 _aIntroductory combinatorics /
_cRichard A. Brualdi.
250 _a5th ed.
260 _aUpper Saddle River, N.J. :
_bPearson/Prentice Hall,
_cc2010.
300 _axii, 605 p. :
_bill. ;
_c24 cm.
504 _aIncludes bibliographical references (p. 596-597) and index.
505 1 _a1. 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.
520 _aIntroductory Combinatorics 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). Written to be entertaining and readable, this book's lively style reflects the author's joy for teaching the subject. It presents an excellent treatment of Polya's Counting Theorem that doesn't assume the student is familiar with group theory. It also includes problems that offer good practice of the principles it presents. The third edition of Introductory Combinatorics has been updated to include new material on partially ordered sets, Dilworth's Theorem, partitions of integers and generating functions. In addition, the chapters on graph theory have been completely revised. A valuable book for any reader interested in learning more about combinatorics.
650 0 _aCombinatorial analysis
_vTextbooks.
_9635
650 0 _aComputer science
_xMathematics.
_9636
856 4 1 _3Table of contents only
_uhttp://www.loc.gov/catdir/toc/ecip0827/2008038478.html
942 _2ddc
_cBO