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|a 10.1007/978-1-4612-4108-9
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|a Sagan, Bruce.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
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| 245 |
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|a Mathematical Essays in honor of Gian-Carlo Rota
|h [electronic resource] /
|c by Bruce Sagan, Richard Stanley.
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| 250 |
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|a 1st ed. 1998.
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| 264 |
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|a Boston, MA :
|b Birkhäuser Boston :
|b Imprint: Birkhäuser,
|c 1998.
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|a XIV, 466 p.
|b online resource.
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|a Progress in Mathematics,
|x 0743-1643 ;
|v 161
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| 490 |
1 |
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|a Springer eBook Collection
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| 505 |
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|a MacMahon’s Partition Analysis: I. The Lecture Hall Partition Theorem -- The cd-Index of Zonotopes and Arrangements -- Letter-Place Methods and Homotopy -- Classification of Trivectors in 6-D Space -- Parameter Augmentation for Basic Hypergeometric Series, I -- Unities and Negation -- The Would-Be Method of Targeted Rings -- Lattice Walks and Primary Decomposition -- Natural Exponential Families and Umbral Calculus -- Umbral Calculus in Hilbert Space -- A Strategy for Determining Polynomial Orthogonality -- Plethystic Formulas and Positivity for q, t-Kostka Coefficients -- An Alternative Evaluation of the Andrews-Burge Determinant -- The Number of Points in a Combinatorial Geometry with No 8-Point-Line Minors -- Umbral Shifts and Symmetric Functions of Schur Type -- An Axiomization for Cubic Algebras -- An Elementary Proof of Roichman’s Rule for Irreducible Characters of Iwahori-Hecke Algebras of Type A -- Universal Constructions in Umbral Calculus -- Hyperplane Arrangements, Parking Functions and Tree Inversions -- More Orthogonal Polynomials as Moments -- Difference Equations via the Classical Umbral Calculus -- An Analogy in Geometric Homology: Rigidity and Cofactors on Geometric Graphs -- The Umbral Calculus and Identities for Hypergeometric Functions with Special Arguments -- Apologies to T.S. Eliot: The Rota Nerds.
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| 520 |
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|a In April of 1996 an array of mathematicians converged on Cambridge, Massachusetts, for the Rotafest and Umbral Calculus Workshop, two con ferences celebrating Gian-Carlo Rota's 64th birthday. It seemed appropriate when feting one of the world's great combinatorialists to have the anniversary be a power of 2 rather than the more mundane 65. The over seventy-five par ticipants included Rota's doctoral students, coauthors, and other colleagues from more than a dozen countries. As a further testament to the breadth and depth of his influence, the lectures ranged over a wide variety of topics from invariant theory to algebraic topology. This volume is a collection of articles written in Rota's honor. Some of them were presented at the Rotafest and Umbral Workshop while others were written especially for this Festschrift. We will say a little about each paper and point out how they are connected with the mathematical contributions of Rota himself.
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|a Loaded electronically.
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| 590 |
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|a Electronic access restricted to members of the Holy Cross Community.
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|a Combinatorics.
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|a Electronic resources (E-books)
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| 700 |
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|a Stanley, Richard.
|e author.
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|a Progress in Mathematics,
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|a Springer eBook Collection.
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