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Author:   Dennis Stanton ,  Dennis White
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   1986 ed.
Dimensions:   Width: 15.50cm , Height: 1.20cm , Length: 23.50cm
Weight:   1.030kg
ISBN:  

9780387963471

ISBN 10:   0387963472
Pages:   186
Publication Date:   15 May 1986
Audience:   College/higher education ,  General/trade ,  Tertiary & Higher Education ,  General
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of print, replaced by POD  
We will order this item for you from a manufatured on demand supplier.

Table of Contents

1 Listing Basic Combinatorial Objects.- 1.1 Permutations.- 1.2 Subsets.- 1.3 Integer Partitions.- 1.4 Product Spaces.- 1.5 Set Partitions.- Notes.- Exercises.- 2 Partially Ordered Sets.- 2.1 Six Posets.- 2.2 Matching the Boolean Algebra.- 2.3 The Littlewood-Offord Problem.- 2.4 Extremal Set Theory.- Notes.- Exercises.- 3 Bijections.- 3.1 The Catalan Family.- 3.2 The Prufer Correspondence.- 3.3 Partitions.- 3.4 Permutations.- 3.5 Tableaux.- 3.6 The Schensted Correspondence.- 3.7 Properties of the Schensted Correspondence.- Notes.- Exercises.- 4 Involutions.- 4.1 The Euler Pentagonal Number Theorem.- 4.2 Vandermonde's Determinant.- 4.3 The Cayley-Hamilton Theorem.- 4.4 The Matrix-Tree Theorem.- 4.5 Lattice Paths.- 4.6 The Involution Principle.- Notes.- Exercises.- A.1 Permutations.- A.2 Subsets.- A.3 Set Partitions.- A.4 Integer Partitions.- A.5 Product Spaces.- A.6 Match to First Available.- A.7 The Schensted Correspondence.- A.8 The Prufer Correspondence.- A.9 The Involution Principle.

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