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Geometric Combinatorics (Ias/Park City Mathematics Series) [Hardcover]

Ezra Miller (Author, Editor), Victor Reiner (Editor), Bernd Sturmfels (Editor)
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Book Description

October 31, 2007 0821837362 978-0821837368
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.

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"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

Product Details

  • Hardcover: 691 pages
  • Publisher: American Mathematical Society (October 31, 2007)
  • Language: English
  • ISBN-10: 0821837362
  • ISBN-13: 978-0821837368
  • Product Dimensions: 10.2 x 7.3 x 1.6 inches
  • Shipping Weight: 3 pounds (View shipping rates and policies)
  • Average Customer Review: 1.0 out of 5 stars  See all reviews (1 customer review)
  • Amazon Best Sellers Rank: #2,061,299 in Books (See Top 100 in Books)

 

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0 of 13 people found the following review helpful:
1.0 out of 5 stars R3, June 1, 2009
This review is from: Geometric Combinatorics (Ias/Park City Mathematics Series) (Hardcover)
Unfortunately, I could not get it.
Please recheck the process.

Best wishes

Sang-Eon Han
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Inside This Book (learn more)
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
enumerative combinatorics, supplementary problem, unimodality conjecture, upper bound problem, critical simplices, skew hook shape, coordinate hyperplane arrangement, dual cone decomposition, root poset, free module property, homology facets, fixed point arrangement, noncrossing partition lattice, vertex truncation, poset topology, descent set des, equivariant intersection cohomology, real central arrangement, real root conjecture, recursive coatom, simple rational cone, quad graph, one containing vertex, braid arrangement, cluster algebra
Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Discrete Math, Cambridge University Press, Prove Theorem, Lovász Conjecture, Park City Mathematics Series Volume, Theory Ser, London Math, American Mathematical Society, Algebraic Combin, Princeton University Press, Graduate Texts, Duke Math, Discrete Comput, Problems Review, Prove Proposition, Combinatorial Theory, The Bruhat, Oxford University Press, Use Theorem, Review Problem, Pure Math, Notices Amer, Theory of Computing, University of Miami
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