e.encyclopedia

GO e.encyclopedia


Author: Adam Hibbert, Andy Catling, Ben Morgan, Claire Llewellyn, David Glover, David Goldblatt, Fiona Macdonald, Janet Sacks, Jen Green, Jude Welton, Philip Steele, Robin Kerrod, Simon Adams
Type: eBook
Language: English
Released: 2003
Publisher: DK CHILDREN
Page Count: 450
Format: pdf
ISBN-10: 0789498693
ISBN-13: 9780789498694
Tags:e.encyclopedia, tutorials, pdf, djvu, chm, epub, ebook, book, torrent, downloads, rapidshare, filesonic, hotfile, fileserve


Description:
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.