Presenting the state of the art, the Handbook of Enumerative Combinatorics brings together the work of today's most prominent researchers. The first two chapters provide a comprehensive overview of the most frequently used methods in combinatorial enumeration. These chapters supply an overview that is impressive both in its breadth and its depth, including algebraic, geometric, and analytic methods. Subsequent chapters illustrate applications of these methods for counting a wide array of objects.
Presenting the state of the art, the Handbook of Enumerative Combinatorics brings together the work of today's most prominent researchers. The first two chapters provide a comprehensive overview of the most frequently used methods in combinatorial enumeration. These chapters supply an overview that is impressive both in its breadth and its depth, including algebraic, geometric, and analytic methods. Subsequent chapters illustrate applications of these methods for counting a wide array of objects.
Miklós Bóna received his Ph.D. in mathematics at Massachusetts Institute of Technology in 1997. Since 1999, he has taught at the University of Florida, where in 2010 he was inducted in the Academy of Distinguished Teaching Scholars. He is the author of four books and more than 65 research articles, mostly focusing on enumerative and analytic combinatorics. His book Combinatorics of Permutations won the Outstanding Title Award from Choice, the journal of the American Library Association. He has mentored numerous graduate and undergraduate students. Miklós Bóna is an editor-in-chief for the Electronic Journal of Combinatorics, and for two book series at CRC Press.
Inhaltsangabe
Methods. Algebraic and Geometric Methods in Enumerative Combinatorics. Analytic Methods. Topics. Asymptotic Normality in Enumeration. Trees. Planar maps. Graph Enumeration. Unimodality, Log-Concavity, Real-Rootedness and Beyond. Words. Tilings. Lattice Path Enumeration. Catalan Paths and q; t-enumeration. Permutation Classes. Parking Functions. Standard Young Tableaux. Computer Algebra.
