Combinatorics of Permutations: Edition 3

The research in combinatorics of permutations has advanced rapidly since this book was published in a first edition. Now the third edition offers not only updated results, it remains the leading textbook for a course on the topic.

Coverage is mostly enumerative, but there are algebraic, analytic, and topological parts as well, and applications.

Since the publication of the second edition, there is tremendous progress in pattern avoidance (Chapters 4 and 5). There is also significant progress in the analytic combinatorics of permutations, which will be incorporated.

•A completely new technique from extremal combinatorics disproved a long-standing conjecture, and this is presented in Chapter 4.

•The area of universal permutations has undergone a lot of very recent progress, and that has been noticed outside the academic community as well. This also influenced the revision of Chapter 5.

•New results in stack sorting are added to Chapter 8.

•Chapter 9 applications to biology has been revised.

The author’s other works include Introduction to Enumerative and Analytic Combinatorics, second edition (CHOICE "Outstanding Academic Title") and Handbook of Enumerative Combinatorics, published by CRC Press. The author also serves as Series Editor for CRC’s Discrete Mathematics and Its Applications.