MARC Record from harvard_bibliographic_metadata

LEADER: 02725nam a22004215a 4500
001 014157679-0
005 20141003190140.0
008 100301s1996 xxu| o ||0| 0|eng d
020 $a9780817644338
020 $a9780817643690 (ebk.)
020 $a9780817644338
020 $a9780817643690
024 7 $a10.1007/b139094$2doi
035 $a(Springer)9780817644338
040 $aSpringer
050 4 $aQA1-939
072 7 $aMAT000000$2bisacsh
072 7 $aPB$2bicssc
082 04 $a510$223
100 1 $aStanley, Richard P.,$eauthor.
245 10 $aCombinatorics and Commutative Algebra /$cby Richard P. Stanley.
250 $aSecond Edition.
264 1 $aBoston, MA :$bBirkhäuser Boston,$c1996.
300 $aVI, 164 p.$bonline resource.
336 $atext$btxt$2rdacontent
337 $acomputer$bc$2rdamedia
338 $aonline resource$bcr$2rdacarrier
347 $atext file$bPDF$2rda
490 1 $aProgress in Mathematics ;$v41
505 0 $aBackground -- Nonnegative Integral Solutions to Linear Equations -- The Face Ring of a Simplicial Complex -- Further Aspects of Face Rings.
520 $aSome remarkable connections between commutative algebra and combinatorics have been discovered in recent years. This book provides an overview of two of the main topics in this area. The first concerns the solutions of linear equations in nonnegative integers. Applications are given to the enumeration of integer stochastic matrices (or magic squares), the volume of polytopes, combinatorial reciprocity theorems, and related results. The second topic deals with the face ring of a simplicial complex, and includes a proof of the Upper Bound Conjecture for Spheres. An introductory chapter giving background information in algebra, combinatorics and topology broadens access to this material for non-specialists. New to this edition is a chapter surveying more recent work related to face rings, focusing on applications to f-vectors. Included in this chapter is an outline of the proof of McMullen's g-conjecture for simplicial polytopes based on toric varieties, as well as a discussion of the face rings of such special classes of simplicial complexes as shellable complexes, matroid complexes, level complexes, doubly Cohen-Macaulay complexes, balanced complexes, order complexes, flag complexes, relative complexes, and complexes with group actions. Also included is information on subcomplexes and subdivisions of simplicial complexes, and an application to spline theory.
650 10 $aMathematics.
650 0 $aMathematics.
650 24 $aMathematics, general.
776 08 $iPrinted edition:$z9780817643690
830 0 $aProgress in Mathematics ;$v41.
988 $a20140910
906 $0VEN