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 rich history; many arithmetic,
number-theoretical, analytical and combinatorial connections;
numerous classical properties; as well as many modern
applications.This book collects together 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 generalizations and
relatives of Stirling numbers, including Bell numbers and Lah
numbers. Throughout the book, readers are presented with exercises
to test and cement their understanding.
General
| Imprint: |
World Scientific Publishing Co Pte Ltd
|
| Country of origin: |
Singapore |
| Series: |
Selected Chapters Of Number Theory: Special Numbers, 0 |
| Release date: |
November 2023 |
| Authors: |
Elena Deza
|
| Pages: |
292 |
| ISBN-13: |
978-981-12-7809-9 |
| Categories: |
Books
Promotions
|
| LSN: |
981-12-7809-1 |
| Barcode: |
9789811278099 |
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