02348cam a2200289 a 4500 100617s2011 flua b 001 0 eng 9781420082609 1420082604 SDU QA164 S425 H 2011 Allenby, R. B. J. T. 211528 How to count : an introduction to combinatorics / R.B.J.T. Allenby, Alan Slomson. 2nd ed. Boca Raton, FL : CRC Press, 2011. 430 p. : ill. Discrete mathematics and its applications First published as: an introduction to combinatorics, 1991. What's it all about? -- Permutations and combinations -- Occupancy problems -- The inclusion-exclusion principle -- Stirling and Catalan numbers -- Partitions and dot diagrams -- Generating functions and recurrence relations -- Partitions and generating functions -- Introduction to graphs -- Trees -- Groups of permutations -- Group actions -- Counting patterns -- Pólya counting -- Dirichlet's pigeonhole principle -- Ramsey theory -- Rook polynomials and matchings. HKBU library YT2025 M10 "Completely revised, How to Count: An Introduction to Combinatorics, Second Edition shows how to solve numerous classic and other interesting combinatorial problems. The authors take an easily accessible approach that introduces problems before leading into the theory involved. Although the authors present most of the topics through concrete problems, they also emphasize the importance of proofs in mathematics. This second edition incorporates 50 percent more material. It includes seven new chapters that cover occupancy problems, Stirling and Catalan numbers, graph theory, trees, Dirichlet's pigeonhole principle, Ramsey theory, and rook polynomials. This edition also contains more than 450 exercises. Ideal for both classroom teaching and self-study, this text requires only a modest amount of mathematical background. In an engaging way, it covers many combinatorial tools, such as the inclusion-exclusion principle, generating functions, recurrence relations, and Pólya's counting theorem."--Publisher's description. Combinatorial analysis. Slomson, A. B. Slomson, A. B. = C.1 SDU GBE lcc 109641 109641 0 0 lcc 0 QA0164 S425 H2011 0 CGB 283900 SDU SDU GEN3 2025-10-03 2 0 QA164 S425 H 2011 1000377880 2025-10-03 00:00:00 C.1 2025-10-03 GBE