000 02105 a2200277 4500
003 NISER
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020 _a9781032476711
_qPaperback
040 _aNISER LIBRARY
_beng
_cNISER LIBRARY
082 0 4 _a519.1
_bLOE-C
100 1 _aLoehr, Nicholas A.
240 1 0 _aBijective combinatorics
245 1 0 _aCombinatorics
250 _a2nd edition
260 _aBoca Raton :
_bCRC Press, Taylor & Francis Group,
_c2017.
300 _axxiv, 618 pages :
_billustrations ;
_c27 cm.
490 _aDiscrete mathematics and its applications
500 _aPrevious edition: Bijective combinatorics / Nicholas A. Loehr (Boca Raton, FL : Chapman & Hall/CRC, c2011).
504 _aIncludes bibliographical references (pages 595-601) and index.
520 _aCombinatorics, Second Edition is a well-rounded, general introduction to the subjects of enumerative, bijective, and algebraic combinatorics. The textbook emphasizes bijective proofs, which provide elegant solutions to counting problems by setting up one-to-one correspondences between two sets of combinatorial objects. The author has written the textbook to be accessible to readers without any prior background in abstract algebra or combinatorics. Part I of the second edition develops an array of mathematical tools to solve counting problems: basic counting rules, recursions, inclusion-exclusion techniques, generating functions, bijective proofs, and linear algebraic methods. These tools are used to analyze combinatorial structures such as words, permutations, subsets, functions, graphs, trees, lattice paths, and much more. Part II cover topics in algebraic combinatorics including group actions, permutation statistics, symmetric functions, and tableau combinatorics.
650 0 _aCombinatorial analysis
856 4 1 _3Table of contents
_uhttps://www.biblos.pk.edu.pl/ST/2017/11/100000310081/100000310081_Loehr_Combinatorics.pdf
856 4 1 _3Reviews
_uhttps://www.goodreads.com/book/show/86489847-combinatorics?ref=nav_sb_ss_1_13#CommunityReviews
942 _cBK
_2udc
999 _c36669
_d36669