IAS/Park City Mathematics Series
Volume: 13; 2007; 691 pp; Hardcover
MSC: Primary 05; 52; Secondary 06; 14; 57
Print ISBN: 978-0-8218-3736-8
Product Code: PCMS/13
List Price: $110.00
Individual Member Price: $88.00
Geometric CombinatoricsShare this page
Edited by Ezra Miller; Victor Reiner; Bernd Sturmfels
A co-publication of the AMS and IAS/Park City Mathematics Institute
Geometric combinatorics describes a wide area of mathematics that is
primarily the study of geometric objects and their combinatorial
structure. Perhaps the most familiar examples are polytopes and
simplicial complexes, but the subject is much broader. This volume
is a compilation of expository articles at the interface between
combinatorics and geometry, based on a three-week program of lectures
at the Institute for Advanced Study/Park City Math Institute
(IAS/PCMI) summer program on Geometric Combinatorics. The topics
covered include posets, graphs, hyperplane arrangements, discrete
Morse theory, and more. These objects are considered from multiple
perspectives, such as in enumerative or topological contexts, or in
the presence of discrete or continuous group actions.
Most of the exposition is aimed at graduate students or researchers learning the material for the first time. Many of the articles include substantial numbers of exercises, and all include numerous examples. The reader is led quickly to the state of the art and current active research by worldwide authorities on their respective subjects.
Titles in this series are co-published with the Institute for Advanced Study/Park City Mathematics Institute. Members of the Mathematical Association of America (MAA) and the National Council of Teachers of Mathematics (NCTM) receive a 20% discount from list price.
Table of Contents
Table of Contents
Graduate students and research mathematicians interested in combinatorics; discrete methods in geometry and topology.
The editors have done an excellent job in bringing together many leaders of the field and encouraging them to write expository lecture notes on various topics that expertly showcase the multi-faceted world of this vast and rapidly growing field of mathematics.
-- MAA Reviews