This trusted best-seller emphasizes combinatorial ideas–including the pigeon-hole principle, counting techniques, permutations and combinations, Pólya counting, binomial coefficients, inclusion-exclusion principle, generating functions and recurrence relations, combinatortial structures (matchings, designs, graphs), and flows in networks. The Fifth Edition clarifies the exposition throughout and adds a wealth of new exercises. Appropriate for one- or two-semester, junior- to senior-level combinatorics courses.
Synopsis
This trusted best-seller emphasizes combinatorial ideas–including the pigeon-hole principle, counting techniques, permutations and combinations, Pólya counting, binomial coefficients, inclusion-exclusion principle, generating functions and recurrence relations, combinatortial structures (matchings, designs, graphs), and flows in networks. The Fifth Edition clarifies the exposition throughout and adds a wealth of new exercises. Appropriate for one- or two-semester, junior- to senior-level combinatorics courses.
About the Author, Richard A. Brualdi
Richard A. Brualdi is Bascom Professor of Mathematics, Emeritus at the University of Wisconsin-Madison. He served as Chair of the Department of Mathematics from 1993-1999. His research interests lie in matrix theory and combinatorics/graph theory. Professor Brualdi is the author or co-author of six books, and has published extensively. He is one of the editors-in-chief of the journal "Linear Algebra and its Applications" and of the journal "Electronic Journal of Combinatorics." He is a member of the American Mathematical Society, the Mathematical Association of America, the International Linear Algebra Society, and the Institute for Combinatorics and its Applications. He is also a Fellow of the Society for Industrial and Applied Mathematics.
New edition of a text designed for a two-semester course. Coverage includes the pigeonhole principle, generating permutations and combinations, binomial coefficients, generating functions, graph theory, and Polya counting. This edition features a new sections on partial orders, equivalence relations, and partitions of a positive integer. Appends answers and hints to the exercises. Annotation c. by Book News, Inc., Portland, Or.
