Louis J. Billera; Anders Bjoerner; Curtis Greene; Rodica E. Simion; Richard P. Stanley Cambridge University Press (2011) Saatavuus: Tilaustuote Pehmeäkantinen kirja
Louis J. Billera; Anders Bjoerner; Curtis Greene; Rodica E. Simion; Richard P. Stanley Cambridge University Press (1999) Saatavuus: Tilaustuote Kovakantinen kirja
Barry Mazur; Wilfried Schmid; Shing-Tung Yau; David Jerison; Tomasz Mrowka; Richard Stanley; Richard P. Stanley International Press of Boston Inc (2006) Saatavuus: Painos loppu Kovakantinen kirja
David Jerison; Barry Mazur; Tomasz Mrowka; Wilfried Schmid; Richard P. Stanley; Shing-Tung Yau International Press of Boston Inc (2009) Saatavuus: Painos loppu Pehmeäkantinen kirja
David Jerison; Barry Mazur; Tomasz Mrowka; Wilfried Schmid; Richard P. Stanley; Shing-Tung Yau International Press of Boston Inc (2008) Saatavuus: Painos loppu Kovakantinen kirja
David Jerison; Barry Mazur; Tomasz Mrowka; Wilfried Schmid; Richard P. Stanley; Shing-Tung Yau International Press of Boston Inc (2008) Saatavuus: Painos loppu Kovakantinen kirja
David Jerison; Barry Mazur; Tomasz Mrowka; Wilfried Schmid; Richard P. Stanley; Shing-Tung Yau International Press of Boston Inc (2011) Saatavuus: Tilaustuote Kovakantinen kirja
David Jerison; Barry Mazur; Tomasz Mrowka; Wilfried Schmid; Richard P. Stanley; Shing-Tung Yau International Press of Boston Inc (2017) Saatavuus: Tilaustuote Pehmeäkantinen kirja
Birkhauser Boston Inc Sivumäärä: 166 sivua Asu: Pehmeäkantinen kirja Painos: 2nd ed. 1996 Julkaisuvuosi: 2004, 15.10.2004 (lisätietoa) Kieli: Englanti
Some 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.
