Eulerian Numbers

This text presents the Eulerian numbers in the context of modern enumerative, algebraic, and geometric combinatorics. The book first studies Eulerian numbers from a purely combinatorial point of view, then embarks on a tour of how these numbers arise in the study of hyperplane arrangements, polytope...

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Petersen, T. Kyle (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: New York, NY : Springer New York : Imprint: Birkhäuser, 2015.
Edition:1st ed. 2015.
Series:Birkhäuser Advanced Texts Basler Lehrbücher,
Subjects:
Discrete mathematics.
Topology.
Number theory.
Group theory.
Discrete Mathematics.
Number Theory.
Group Theory and Generalizations.
Online Access:Texto Completo
Table of Contents:
  • Eulerian Numbers
  • Narayana Numbers
  • Partially Ordered Sets
  • Gamma-nonnegativity
  • Weak Order, Hyperplane Arrangements, and the Tamari Lattice
  • Refined Enumeration
  • Simplicial Complexes
  • Barycentric Subdivision
  • Coxeter Groups
  • W-Narayana Numbers
  • Cubes, Carries, and an Amazing Matrix
  • Characterizing f-vectors
  • Combinatorics for Coxeter groups of Types Bn and Dn
  • Affine Descents and the Steinberg Torus
  • Hints and Solutions.

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