Eulerian Numbers

AvT. Kyle Petersen

Inbunden, Engelska, 2015

Del i serien Birkhäuser Advanced Texts Basler Lehrbücher

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Beskrivning

Some topics include a thorough discussion of gamma-nonnegativity and real-rootedness for Eulerian polynomials, as well as the weak order and the shard intersection order of the symmetric group.The book also includes a parallel story of Catalan combinatorics, wherein the Eulerian numbers are replaced with Narayana numbers.

Produktinformation

Utgivningsdatum:2015-10-13
Mått:155 x 235 x 30 mm
Vikt:962 g
Format:Inbunden
Språk:Engelska
Serie:Birkhäuser Advanced Texts Basler Lehrbücher
Antal sidor:456
Förlag:Springer-Verlag New York Inc.
ISBN:9781493930906

Utforska kategorier

Talteori inom Naturvetenskap och teknik
Topologi inom Naturvetenskap och teknik
Diskret matematik inom Naturvetenskap och teknik

Recensioner i media

"This work offers wonderful material to supplement a course in combinatorics or discrete mathematics, or for a stimulating capstone course. Summing Up: Highly recommended. Lower-division undergraduates through researchers/faculty." (D. V. Feldman, Choice, Vol. 53 (11), July, 2016) "This book serves dual purposes. On the one hand, it is a monograph on Eulerian numbers and their generalizations. ... On the other hand, the book gives an introduction to contemporary enumerative, algebraic and geometric combinatorics, and it can be used as a text at beginning graduate or advanced undergraduate level. ... This is a well-written text for a good course." (Laszlo A. Szekely, zbMATH 1337.05001, 2016)