Partitions

Pablo Soberón
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Pablo Soberón: University College London, Department of Mathematics

Chapter 7 in Problem-Solving Methods in Combinatorics, 2013, pp 93-99 from Springer

Abstract: Abstract This chapter studies partitions, and shows how the techniques presented throughout the book can be applied for this purpose. First we study partitions of integers, and their Ferrer diagrams. Then, we present the Stirling numbers of the first kind by their algebraic properties. This leads us to their relation with permutations and cycles. Then, we present the Stirling numbers of the second kind, and their relation to partitions of sets. We deduce their algebraic properties and with this how the two kind of Stirling numbers are related. At the end of the chapter, 11 problems are presented.

Keywords: Stirling Numbers; Ferrers Diagram; Algebraic Properties; Partitioning Studies; Conjugate Partition (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-0348-0597-1_7

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DOI: 10.1007/978-3-0348-0597-1_7

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