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.

• 1. What is Combinatorics? 2. The Pigeonhole Principle 3. Permutations and Combinations 4. Generating Permutations and Combinations 5. The Binomial Coefficients 6. The Inclusion-Exclusion Principle and Applications 7. Recurrence Relations and Generating Functions 8. Special Counting Sequences 9. Systems of Distinct Representatives 10. Combinatorial Designs 11. Introduction to Graph Theory 12. More on Graph Theory 13. Digraphs and Networks 14. Pólya Counting

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.

• 1. What is Combinatorics? 2. The Pigeonhole Principle 3. Permutations and Combinations 4. Generating Permutations and Combinations 5. The Binomial Coefficients 6. The Inclusion-Exclusion Principle and Applications 7. Recurrence Relations and Generating Functions 8. Special Counting Sequences 9. Systems of Distinct Representatives 10. Combinatorial Designs 11. Introduction to Graph Theory 12. More on Graph Theory 13. Digraphs and Networks 14. Pólya Counting

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.

• 1. What is Combinatorics? 2. The Pigeonhole Principle 3. Permutations and Combinations 4. Generating Permutations and Combinations 5. The Binomial Coefficients 6. The Inclusion-Exclusion Principle and Applications 7. Recurrence Relations and Generating Functions 8. Special Counting Sequences 9. Systems of Distinct Representatives 10. Combinatorial Designs 11. Introduction to Graph Theory 12. More on Graph Theory 13. Digraphs and Networks 14. Pólya Counting