Lattice Path Combinatorics and Special Counting Sequences - Couverture rigide

Song, Chunwei

 
9781032671758: Lattice Path Combinatorics and Special Counting Sequences
Couverture rigide
ISBN 10 : 1032671750 ISBN 13 : 9781032671758
Editeur : CRC Press, 2024

Synopsis

This book endeavors to deepen our understanding of lattice path combinatorics, explore key types of special sequences, elucidate their interconnections, and concurrently champion the author's interpretation of the “combinatorial spirit”.

The author intends to give an up-to-date introduction to the theory of lattice path combinatorics, its relation to those special counting sequences important in modern combinatorial studies, such as the Catalan, Schröder, Motzkin, Delannoy numbers, and their generalized versions. Brief discussions of applications of lattice path combinatorics to symmetric functions and connections to the theory of tableaux are also included. Meanwhile, the author also presents an interpretation of the "combinatorial spirit" (i.e., "counting without counting", bijective proofs, and understanding combinatorics from combinatorial structures internally, and more), hoping to shape the development of contemporary combinatorics.

Lattice Path Combinatorics and Special Counting Sequences: From an Enumerative Perspective will appeal to graduate students and advanced undergraduates studying combinatorics, discrete mathematics, or computer science.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l?auteur

Chunwei Song, a combinatorialist and graph theorist, is a professor of mathematics at Peking University. He received his PhD from the University of Pennsylvania in 2004. He also held faculty positions at Boston College, MA and the Tokyo Institute of Technology, Japan. In 2010, he was a visiting associate professor at the University of Delaware. At Peking University, six students have received PhD degrees under his supervision, specializing in the fields of lattice path combinatorics, extremal combinatorics, or mathematical philosophy.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
CRC Press
Date d'édition
2024
Langue
anglais
ISBN 10 
1032671750
ISBN 13 
9781032671758
Reliure
Relié
Nombre de pages
120
Coordonnées du fabricant
non disponible
Personne responsable
gpsr@libri.de
gpsr@libri.de

Friedensallee 273
Hamburg
22763
Allemagne