Eulerian Numbers
 The preface and complete table of contents can be found here: Preface Table of Contents
 Here is the link to Springer's page for the book: SpringerLink
 You can also get the book on Amazon: Amazon
 I will keep a list of errors here: Errata (Updated September 28, 2016.) Please send me other mistakes as you find them!
I've written a book about some of my favorite topics in enumerative combinatorics. Over the past few decades, Eulerian numbers have arisen in many interesting ways. After introducing a combinatorial definition for Eulerian numbers and deriving some wellknown formulas for them, the book makes connections to the study of partially ordered sets, hyperplane arrangements, polytopes, and simplicial complexes. I write about gammanonnegativity for Eulerian polynomials, and important partial orderings of the symmetric group: the weak order and the shard intersection order. The book would be half as long if not for a parallel story of Catalan combinatorics. The Narayana numbers are the central objects here, which possess similar combinatorial and geometric interpretations. Some key objects here include the associahedron and the lattice of non crossing partitions. The final chapters of the book discuss analogues of the Eulerian and Narayana numbers in the context of Coxeter groups. My hope is that this book can serve both researchers and graduate students. For example, the first six chapters could work as a text for a one term topics class, while someone interested in the combinatorics of Coxeter groups will find many recent developments collected in the final chapters. 
