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Stirling Numbers

Language EnglishEnglish
Book Hardback
Book Stirling Numbers DEZA ELENA
Libristo code: 43383003
Publishers WORLD SCIENTIFIC PUB CO INC, November 2023
Stirling numbers are one of the most known classes of special numbers in Mathematics, especially in... Full description
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Stirling numbers are one of the most known classes of special numbers in Mathematics, especially in Combinatorics and Algebra. They were introduced by Scottish mathematician James Stirling (1692-1770) in his most important work, Differential Method with a Tract on Summation and Interpolation of Infinite Series (1730). Stirling numbers have a rich history; many arithmetic, number-theoretical, analytical and combinatorial connections; numerous classical properties; as well as many modern applications.


This book collects much of the scattered material on the two subclasses of Stirling numbers to provide a holistic overview of the topic. From the combinatorial point of view, Stirling numbers of the second kind, S(n, k), count the number of ways to partition a set of n different objects (i.e., a given n-set) into k non-empty subsets. Stirling numbers of the first kind, s(n, k), give the number of permutations of n elements with k disjoint cycles. Both subclasses of Stirling numbers play an important role in Algebra: they form the coefficients, connecting well-known sets of polynomials.


This book is suitable for students and professionals, providing a broad perspective of the theory of this class of special numbers, and many generalisations and relatives of Stirling numbers, including Bell numbers and Lah numbers. Throughout the book, readers are provided exercises to test and cement their understanding.

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About the book

Full name Stirling Numbers
Author DEZA ELENA
Language English
Binding Book - Hardback
Date of issue 2023
Number of pages 292
EAN 9789811278099
ISBN 9811278091
Libristo code 43383003
Weight 788
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