Catalan numbers with applications:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York [u.a.]
Oxford Univ. Press
2009
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIV, 422 S. Ill., graph. Darst. |
| ISBN: | 9780195334548 |
Staff View
MARC
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| 245 | 1 | 0 | |a Catalan numbers with applications |c Thomas Koshy |
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| 300 | |a XIV, 422 S. |b Ill., graph. Darst. | ||
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| 650 | 4 | |a Nombres de Catalan (Mathématiques) | |
| 650 | 4 | |a Catalan numbers (Mathematics) | |
| 650 | 0 | 7 | |a Catalan-Vermutung |0 (DE-588)4369060-9 |2 gnd |9 rswk-swf |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-017159944 | ||
Record in the Search Index
| _version_ | 1804138678836002816 |
|---|---|
| adam_text | Contents
List of
Symbols xiii
1
Binomial Coefficients
1
2
The Central Binomial Coefficient
13
3
The Central Binomial Coefficient
Revisited
51
4
Binomial Coefficients Revisited
89
5
Catalan Numbers
103
6
The Ubiquity of Catalan Numbers I
149
7
The Ubiquity of Catalan Numbers II
191
8
Trees and Catalan Numbers
227
9
Lattice Paths and Catalan Numbers
259
10
Partitions and Catalan Numbers
281
11
Algebra, Sports, and Catalan Numbers
289
12
Pascal s Triangle and Catalan Numbers
313
13
Divisibility Properties
329
14
A Catalan Triangle
333
15
A Family of Binary Words
347
16
Tribinomial Coefficients
357
17
Generalized Catalan Numbers
375
xii Contents
Appendix
A
379
A.I Bijections
379
A.2 Fundamental Counting Principles
380
A.3 Recursion
381
A.4 Generating Functions
382
A.5 Congruences
383
A.6 Mathematical Induction
384
A.7 Extended Binomial Coefficients
385
A.8 Maclaurin s Series
386
A.9 A Definition of f^)
387
Appendix B: The First
100
Catalan Numbers
391
References
395
Index of Mathematicians
409
Index
411
|
| any_adam_object | 1 |
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| discipline | Mathematik |
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| id | DE-604.BV035355877 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T21:32:01Z |
| institution | BVB |
| isbn | 9780195334548 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-017159944 |
| oclc_num | 494085460 |
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| owner_facet | DE-19 DE-BY-UBM DE-11 DE-355 DE-BY-UBR DE-83 |
| physical | XIV, 422 S. Ill., graph. Darst. |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | Oxford Univ. Press |
| record_format | marc |
| spelling | Koshy, Thomas Verfasser aut Catalan numbers with applications Thomas Koshy New York [u.a.] Oxford Univ. Press 2009 XIV, 422 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Analyse combinatoire ra Nombres de Catalan (Mathématiques) Catalan numbers (Mathematics) Catalan-Vermutung (DE-588)4369060-9 gnd rswk-swf Catalan-Vermutung (DE-588)4369060-9 s DE-604 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017159944&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Koshy, Thomas Catalan numbers with applications Analyse combinatoire ra Nombres de Catalan (Mathématiques) Catalan numbers (Mathematics) Catalan-Vermutung (DE-588)4369060-9 gnd |
| subject_GND | (DE-588)4369060-9 |
| title | Catalan numbers with applications |
| title_auth | Catalan numbers with applications |
| title_exact_search | Catalan numbers with applications |
| title_full | Catalan numbers with applications Thomas Koshy |
| title_fullStr | Catalan numbers with applications Thomas Koshy |
| title_full_unstemmed | Catalan numbers with applications Thomas Koshy |
| title_short | Catalan numbers with applications |
| title_sort | catalan numbers with applications |
| topic | Analyse combinatoire ra Nombres de Catalan (Mathématiques) Catalan numbers (Mathematics) Catalan-Vermutung (DE-588)4369060-9 gnd |
| topic_facet | Analyse combinatoire Nombres de Catalan (Mathématiques) Catalan numbers (Mathematics) Catalan-Vermutung |
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