Combinatorics / Nicholas A. Loehr.
Material type:
- 9781498780254
- 23 311.62 L824C-2
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310.954 Y32C Census of India, 1941[microform ] | 310.954 Y32C Census of India, 1941[microform ] | 311.23 W142S Sequential Analysis | 311.62 L824C-2 Combinatorics / | 311.724 C269D Data collection in Developing countries | 312 C361H Hungry people and empty lands | 312 भा6442 भारत की जनगणना 1981 |
Previous edition: Bijective combinatorics / Nicholas A. Loehr (Boca Raton, FL : Chapman & Hall/CRC, c2011).
Includes bibliographical references (pages 595-601) and index.
Bijective proofs are some of the most elegant and powerful techniques in all of mathematics. Suitable for readers without prior background in algebra or combinatorics, the book presents an introduction to enumerative and algebraic combinatorics emphasizing bijective methods. The text develops mathematical tools, such as basic counting rules, recursions, inclusion-exclusion techniques, generating functions, bijective proofs, and linear-algebraic methods to solve enumeration problems. The tools are used to analyze combinatorial structures, words, permutations, subsets, functions, compositions, integer partitions, graphs, trees, lattice paths, multisets, rook placements, and set partitions. --
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