Combinatorial reciprocity theorems. An invitation to enumerative geometric combinatorics.

Matthias Beck; Raman Sanyal

ISBN 10: 147042200X / ISBN 13: 9781470422004

Published by Providence, American Mathematical Society, 2018

About this Item

Ex-library in GOOD condition with library-signature and stamp(s). Some traces of use. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. C-00700 9781470422004 Sprache: Englisch Gewicht in Gramm: 1050.

Seller Inventory # 2483225

Bibliographic Details

• Title: Combinatorial reciprocity theorems. An invitation to enumerative geometric combinatorics.
• Publisher: Providence, American Mathematical Society
• Publication Date: 2018
• Language: English
• ISBN 10: 147042200X
• ISBN 13: 9781470422004
• Binding: Hardcover
• Weight: 1050 grams
• Seller catalogs:
  • U Physik

About this title

Synopsis

Combinatorial reciprocity is a very interesting phenomenon, which can be described as follows: A polynomial, whose values at positive integers count combinatorial objects of some sort, may give the number of combinatorial objects of a different sort when evaluated at negative integers (and suitably normalized). Such combinatorial reciprocity theorems occur in connections with graphs, partially ordered sets, polyhedra, and more. Using the combinatorial reciprocity theorems as a leitmotif, this book unfolds central ideas and techniques in enumerative and geometric combinatorics. Written in a friendly writing style, this is an accessible graduate textbook with almost 300 exercises, numerous illustrations, and pointers to the research literature. Topics include concise introductions to partially ordered sets, polyhedral geometry, and rational generating functions, followed by highly original chapters on subdivisions, geometric realizations of partially ordered sets, and hyperplane arrangements.

About the Author

Matthias Beck: San Francisco State University, San Francisco, CA, Raman Sanyal: Goethe-Universität Frankfurt, Frankfurt, Germany