Stirling numbers:
"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 o...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York
World Scientific
[2024]
|
| Schriftenreihe: | Selected chapters of number theory: special numbers
vol. 3 |
| Schlagworte: | |
| Zusammenfassung: | "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"-- |
| Beschreibung: | xxvii, 438 pages illustrations 24 cm |
Internformat
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| 264 | 1 | |a New York |b World Scientific |c [2024] | |
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| 490 | 1 | |a Selected chapters of number theory: special numbers |v vol. 3 | |
| 520 | |a "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"-- | ||
| 650 | 4 | |a Stirling numbers | |
| 650 | 7 | |a Stirling numbers |2 fast | |
| 776 | 0 | 8 | |i Electronic version |a Deza, Elena |t Stirling numbers |d New York : World Scientific, [2024] |
| 830 | 0 | |a Selected chapters of number theory: special numbers |v vol. 3 |w (DE-604)BV047513069 |9 3 | |
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Datensatz im Suchindex
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| ctrlnum | (OCoLC)1433630703 (DE-599)BVBBV049680544 |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV049680544 |
| illustrated | Illustrated |
| indexdate | 2024-11-08T13:00:51Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-035023348 |
| oclc_num | 1433630703 |
| open_access_boolean | |
| owner | DE-20 DE-19 DE-BY-UBM |
| owner_facet | DE-20 DE-19 DE-BY-UBM |
| physical | xxvii, 438 pages illustrations 24 cm |
| publishDate | 2024 |
| publishDateSearch | 2024 |
| publishDateSort | 2024 |
| publisher | World Scientific |
| record_format | marc |
| series | Selected chapters of number theory: special numbers |
| series2 | Selected chapters of number theory: special numbers |
| spelling | Deza, Elena author Verfasser aut Stirling numbers Elena Deza, Moscow State Pedagogical University, Russia New York World Scientific [2024] xxvii, 438 pages illustrations 24 cm txt rdacontent n rdamedia nc rdacarrier Selected chapters of number theory: special numbers vol. 3 "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"-- Stirling numbers Stirling numbers fast Electronic version Deza, Elena Stirling numbers New York : World Scientific, [2024] Selected chapters of number theory: special numbers vol. 3 (DE-604)BV047513069 3 |
| spellingShingle | Deza, Elena author Stirling numbers Selected chapters of number theory: special numbers Stirling numbers Stirling numbers fast |
| title | Stirling numbers |
| title_auth | Stirling numbers |
| title_exact_search | Stirling numbers |
| title_full | Stirling numbers Elena Deza, Moscow State Pedagogical University, Russia |
| title_fullStr | Stirling numbers Elena Deza, Moscow State Pedagogical University, Russia |
| title_full_unstemmed | Stirling numbers Elena Deza, Moscow State Pedagogical University, Russia |
| title_short | Stirling numbers |
| title_sort | stirling numbers |
| topic | Stirling numbers Stirling numbers fast |
| topic_facet | Stirling numbers |
| volume_link | (DE-604)BV047513069 |
| work_keys_str_mv | AT dezaelenaauthor stirlingnumbers |