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Eulerian Numbers
T. Kyle Petersen
€ 97.99
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Description for Eulerian Numbers
Hardback. Series: Birkhauser Advanced Texts / Basler Lehrbucher. Num Pages: 456 pages, 74 black & white illustrations, 4 colour illustrations, 41 black & white tables, biograph. BIC Classification: PBD; PBH; PBP; PBV. Category: (P) Professional & Vocational. Dimension: 166 x 245 x 30. Weight in Grams: 1006.
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 ... Read more
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 ... Read more
Product Details
Publisher
Springer-Verlag New York Inc.
Format
Hardback
Publication date
2015
Series
Birkhauser Advanced Texts / Basler Lehrbucher
Condition
New
Weight
1006g
Number of Pages
456
Place of Publication
New York, United States
ISBN
9781493930906
SKU
V9781493930906
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-1
About T. Kyle Petersen
T. Kyle Petersen is an Associate Professor of Mathematics at DePaul University, Chicago, USA. His research areas include algebraic, enumerative, and topological combinatorics. He received his PhD in Mathematics from Brandeis University.
Reviews for Eulerian Numbers
This book is a beautiful modern collection about Eulerian numbers, which reflects its author's interest and expertise in the subject. The material is rich. Eulerian numbers and their close relatives, such as Narayana numbers, show up in a variety of topics from enumerative, algebraic, topological, and geometric combinatorics. ... It is self-contained and presented in a clear ... way. The ... Read more