Catalan numbers:
Catalan numbers are probably the most ubiquitous sequence of numbers in mathematics. This book gives for the first time a comprehensive collection of their properties and applications to combinatorics, algebra, analysis, number theory, probability theory, geometry, topology, and other areas. Followi...
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2015
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| Subjects: | |
| Online Access: | BSB01 FHN01 Volltext |
| Summary: | Catalan numbers are probably the most ubiquitous sequence of numbers in mathematics. This book gives for the first time a comprehensive collection of their properties and applications to combinatorics, algebra, analysis, number theory, probability theory, geometry, topology, and other areas. Following an introduction to the basic properties of Catalan numbers, the book presents 214 different kinds of objects counted by them in the form of exercises with solutions. The reader can try solving the exercises or simply browse through them. Some 68 additional exercises with prescribed difficulty levels present various properties of Catalan numbers and related numbers, such as Fuss-Catalan numbers, Motzkin numbers, Schröder numbers, Narayana numbers, super Catalan numbers, q-Catalan numbers and (q,t)-Catalan numbers. The book ends with a history of Catalan numbers by Igor Pak and a glossary of key terms. Whether your interest in mathematics is recreation or research, you will find plenty of fascinating and stimulating facts here |
| Item Description: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Physical Description: | 1 online resource (viii, 215 pages) |
| ISBN: | 9781139871495 |
| DOI: | 10.1017/CBO9781139871495 |
Staff View
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| 520 | |a Catalan numbers are probably the most ubiquitous sequence of numbers in mathematics. This book gives for the first time a comprehensive collection of their properties and applications to combinatorics, algebra, analysis, number theory, probability theory, geometry, topology, and other areas. Following an introduction to the basic properties of Catalan numbers, the book presents 214 different kinds of objects counted by them in the form of exercises with solutions. The reader can try solving the exercises or simply browse through them. Some 68 additional exercises with prescribed difficulty levels present various properties of Catalan numbers and related numbers, such as Fuss-Catalan numbers, Motzkin numbers, Schröder numbers, Narayana numbers, super Catalan numbers, q-Catalan numbers and (q,t)-Catalan numbers. The book ends with a history of Catalan numbers by Igor Pak and a glossary of key terms. Whether your interest in mathematics is recreation or research, you will find plenty of fascinating and stimulating facts here | ||
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Record in the Search Index
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| author | Stanley, Richard P. 1944- |
| author_facet | Stanley, Richard P. 1944- |
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| author_sort | Stanley, Richard P. 1944- |
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| bvnumber | BV043940364 |
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| dewey-full | 511/.6 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
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| dewey-sort | 3511 16 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9781139871495 |
| format | Electronic eBook |
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| id | DE-604.BV043940364 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:13Z |
| institution | BVB |
| isbn | 9781139871495 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029349334 |
| oclc_num | 1074920251 |
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| owner_facet | DE-12 DE-92 |
| physical | 1 online resource (viii, 215 pages) |
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| publishDate | 2015 |
| publishDateSearch | 2015 |
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| publisher | Cambridge University Press |
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| spelling | Stanley, Richard P. 1944- Verfasser aut Catalan numbers Richard P. Stanley, Massachusetts Institute of Technology Cambridge Cambridge University Press 2015 1 online resource (viii, 215 pages) txt rdacontent c rdamedia cr rdacarrier Title from publisher's bibliographic system (viewed on 05 Oct 2015) Catalan numbers are probably the most ubiquitous sequence of numbers in mathematics. This book gives for the first time a comprehensive collection of their properties and applications to combinatorics, algebra, analysis, number theory, probability theory, geometry, topology, and other areas. Following an introduction to the basic properties of Catalan numbers, the book presents 214 different kinds of objects counted by them in the form of exercises with solutions. The reader can try solving the exercises or simply browse through them. Some 68 additional exercises with prescribed difficulty levels present various properties of Catalan numbers and related numbers, such as Fuss-Catalan numbers, Motzkin numbers, Schröder numbers, Narayana numbers, super Catalan numbers, q-Catalan numbers and (q,t)-Catalan numbers. The book ends with a history of Catalan numbers by Igor Pak and a glossary of key terms. Whether your interest in mathematics is recreation or research, you will find plenty of fascinating and stimulating facts here Catalan numbers (Mathematics) Combinatorial analysis Matrices Catalan-Zahlen (DE-588)1072323532 gnd rswk-swf Catalan-Zahlen (DE-588)1072323532 s 1\p DE-604 Erscheint auch als Druckausgabe 978-1-107-07509-2 Erscheint auch als Druckausgabe 978-1-107-42774-7 https://doi.org/10.1017/CBO9781139871495 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Stanley, Richard P. 1944- Catalan numbers Catalan numbers (Mathematics) Combinatorial analysis Matrices Catalan-Zahlen (DE-588)1072323532 gnd |
| subject_GND | (DE-588)1072323532 |
| title | Catalan numbers |
| title_auth | Catalan numbers |
| title_exact_search | Catalan numbers |
| title_full | Catalan numbers Richard P. Stanley, Massachusetts Institute of Technology |
| title_fullStr | Catalan numbers Richard P. Stanley, Massachusetts Institute of Technology |
| title_full_unstemmed | Catalan numbers Richard P. Stanley, Massachusetts Institute of Technology |
| title_short | Catalan numbers |
| title_sort | catalan numbers |
| topic | Catalan numbers (Mathematics) Combinatorial analysis Matrices Catalan-Zahlen (DE-588)1072323532 gnd |
| topic_facet | Catalan numbers (Mathematics) Combinatorial analysis Matrices Catalan-Zahlen |
| url | https://doi.org/10.1017/CBO9781139871495 |
| work_keys_str_mv | AT stanleyrichardp catalannumbers |