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Eulerian Numbers

Jezik EngleskiEngleski
Knjiga Tvrdi uvez
Knjiga Eulerian Numbers T. Kyle Petersen
Libristo kod: 09378209
Nakladnici Springer-Verlag New York Inc., listopad 2015
This text presents the Eulerian numbers in the context of modern enumerative, algebraic, and geometr... Cijeli opis
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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, polytopes, and simplicial complexes. 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. Again there is a progression from combinatorics to geometry, including discussion of the associahedron and the lattice of noncrossing partitions.§§The final chapters discuss how both the Eulerian and Narayana numbers have analogues in any finite Coxeter group, with many of the same enumerative and geometric properties. There are four appendices, which survey more advanced topics, including some open problems in combinatorial topology.§§This textbook will serve a modern resource for experts in the field as well as for graduate students and others hoping to learn about the subject for the first time.§

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Informacije o knjizi

Puni naziv Eulerian Numbers
Jezik Engleski
Uvez Knjiga - Tvrdi uvez
Datum izdanja 2015
Broj stranica 456
EAN 9781493930906
ISBN 1493930907
Libristo kod 09378209
Težina 1006
Dimenzije 245 x 166 x 29
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