Catalan numbers:
"Catalan numbers, named after the French-Belgian mathematician Eugène Charles Catalan (1814-1894), arise in a variety of combinatorial problems. They have many interesting properties, a rich history, and numerous arithmetic, number-theoretical, analytical and combinatorial connections, as well...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Boca Raton ; Abingdon
World Scientific
2025
|
| Schriftenreihe: | Selected chapters of number theory: special numbers
4 |
| Schlagworte: | |
| Zusammenfassung: | "Catalan numbers, named after the French-Belgian mathematician Eugène Charles Catalan (1814-1894), arise in a variety of combinatorial problems. They have many interesting properties, a rich history, and numerous arithmetic, number-theoretical, analytical and combinatorial connections, as well as a variety of classical and modern applications. Considering the long list of open problems and questions related to the classical case, its relatives (Bell numbers, Motzkin numbers, Narayana numbers, etc.) and its generalizations, this book provides a broad perspective on the theory of this class of special numbers that will be useful and of interest to both professionals and a general audience. The book begins with the history of the problem, before defining the considered numerical sets. The recurrence equation, closed formula, and generating function are then presented, followed by the simplest properties and number-theoretical properties. Later chapters discuss the relationships between Catalan numbers and other special numbers, as well as their applications and open problems"-- |
| Beschreibung: | 290 Seiten |
| ISBN: | 9789811293221 |
Internformat
MARC
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| 490 | 1 | |a Selected chapters of number theory: special numbers |v 4 | |
| 520 | 3 | |a "Catalan numbers, named after the French-Belgian mathematician Eugène Charles Catalan (1814-1894), arise in a variety of combinatorial problems. They have many interesting properties, a rich history, and numerous arithmetic, number-theoretical, analytical and combinatorial connections, as well as a variety of classical and modern applications. Considering the long list of open problems and questions related to the classical case, its relatives (Bell numbers, Motzkin numbers, Narayana numbers, etc.) and its generalizations, this book provides a broad perspective on the theory of this class of special numbers that will be useful and of interest to both professionals and a general audience. The book begins with the history of the problem, before defining the considered numerical sets. The recurrence equation, closed formula, and generating function are then presented, followed by the simplest properties and number-theoretical properties. Later chapters discuss the relationships between Catalan numbers and other special numbers, as well as their applications and open problems"-- | |
| 653 | 0 | |a Catalan numbers (Mathematics) | |
| 830 | 0 | |a Selected chapters of number theory: special numbers |v 4 |w (DE-604)BV047513069 |9 4 | |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-035380008 | |
Datensatz im Suchindex
| _version_ | 1816707148603719680 |
|---|---|
| adam_text | |
| any_adam_object | |
| author | Deza, Elena 1961- |
| author_GND | (DE-588)1027553648 |
| author_facet | Deza, Elena 1961- |
| author_role | aut |
| author_sort | Deza, Elena 1961- |
| author_variant | e d ed |
| building | Verbundindex |
| bvnumber | BV050042292 |
| ctrlnum | (DE-599)KXP1901030733 |
| dewey-full | 511.3/5 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511.3/5 |
| dewey-search | 511.3/5 |
| dewey-sort | 3511.3 15 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV050042292 |
| illustrated | Not Illustrated |
| indexdate | 2024-11-25T15:02:27Z |
| institution | BVB |
| isbn | 9789811293221 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-035380008 |
| open_access_boolean | |
| owner | DE-19 DE-BY-UBM |
| owner_facet | DE-19 DE-BY-UBM |
| physical | 290 Seiten |
| publishDate | 2025 |
| 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 1961- Verfasser (DE-588)1027553648 aut Catalan numbers Elena Deza Boca Raton ; Abingdon World Scientific 2025 290 Seiten txt rdacontent n rdamedia nc rdacarrier Selected chapters of number theory: special numbers 4 "Catalan numbers, named after the French-Belgian mathematician Eugène Charles Catalan (1814-1894), arise in a variety of combinatorial problems. They have many interesting properties, a rich history, and numerous arithmetic, number-theoretical, analytical and combinatorial connections, as well as a variety of classical and modern applications. Considering the long list of open problems and questions related to the classical case, its relatives (Bell numbers, Motzkin numbers, Narayana numbers, etc.) and its generalizations, this book provides a broad perspective on the theory of this class of special numbers that will be useful and of interest to both professionals and a general audience. The book begins with the history of the problem, before defining the considered numerical sets. The recurrence equation, closed formula, and generating function are then presented, followed by the simplest properties and number-theoretical properties. Later chapters discuss the relationships between Catalan numbers and other special numbers, as well as their applications and open problems"-- Catalan numbers (Mathematics) Selected chapters of number theory: special numbers 4 (DE-604)BV047513069 4 |
| spellingShingle | Deza, Elena 1961- Catalan numbers Selected chapters of number theory: special numbers |
| title | Catalan numbers |
| title_auth | Catalan numbers |
| title_exact_search | Catalan numbers |
| title_full | Catalan numbers Elena Deza |
| title_fullStr | Catalan numbers Elena Deza |
| title_full_unstemmed | Catalan numbers Elena Deza |
| title_short | Catalan numbers |
| title_sort | catalan numbers |
| volume_link | (DE-604)BV047513069 |
| work_keys_str_mv | AT dezaelena catalannumbers |