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Appropriate for one- or two-semester, junior- to senior-level combinatorics courses.
This title is part of the Pearson Modern Classics series. Pearson Modern Classics are acclaimed titles at a value price. Please visit www.pearsonhighered.com/math-classics-series for a complete list of titles.
This trusted best-seller covers the key 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 5th Edition incorporates feedback from users to the exposition throughout and adds a wealth of new exercises.
List of contents
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1. What is Combinatorics?
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2. The Pigeonhole Principle
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3. Permutations and Combinations
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4. Generating Permutations and Combinations
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5. The Binomial Coefficients
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6. The Inclusion-Exclusion Principle and Applications
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7. Recurrence Relations and Generating Functions
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8. Special Counting Sequences
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9. Systems of Distinct Representatives
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10. Combinatorial Designs
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11. Introduction to Graph Theory
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12. More on Graph Theory
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13. Digraphs and Networks
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14. Pólya Counting
About the author
About our author
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 6 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.
Summary
Appropriate for one- or two-semester, junior- to senior-level combinatorics courses.
This title is part of the Pearson Modern Classics series. Pearson Modern Classics are acclaimed titles at a value price. Please visit www.pearsonhighered.com/math-classics-series for a complete list of titles.
This trusted best-seller covers the key 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 5th Edition incorporates feedback from users to the exposition throughout and adds a wealth of new exercises.
