Catalan numbers with applications:
Gespeichert in:
1. Verfasser: | |
---|---|
Format: | Buch |
Sprache: | English |
Veröffentlicht: |
New York [u.a.]
Oxford Univ. Press
2009
|
Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | XIV, 422 S. Ill., graph. Darst. |
ISBN: | 9780195334548 |
Internformat
MARC
LEADER | 00000nam a2200000zc 4500 | ||
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001 | BV035355877 | ||
003 | DE-604 | ||
005 | 20111103 | ||
007 | t | ||
008 | 090310s2009 xxuad|| |||| 00||| eng d | ||
020 | |a 9780195334548 |9 978-0-19-533454-8 | ||
035 | |a (OCoLC)494085460 | ||
035 | |a (DE-599)BVBBV035355877 | ||
040 | |a DE-604 |b ger |e aacr | ||
041 | 0 | |a eng | |
044 | |a xxu |c US | ||
049 | |a DE-19 |a DE-11 |a DE-355 |a DE-83 | ||
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084 | |a 11B39 |2 msc | ||
100 | 1 | |a Koshy, Thomas |e Verfasser |4 aut | |
245 | 1 | 0 | |a Catalan numbers with applications |c Thomas Koshy |
264 | 1 | |a New York [u.a.] |b Oxford Univ. Press |c 2009 | |
300 | |a XIV, 422 S. |b Ill., graph. Darst. | ||
336 | |b txt |2 rdacontent | ||
337 | |b n |2 rdamedia | ||
338 | |b nc |2 rdacarrier | ||
650 | 7 | |a Analyse combinatoire |2 ra | |
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 |
689 | 0 | 0 | |a Catalan-Vermutung |0 (DE-588)4369060-9 |D s |
689 | 0 | |5 DE-604 | |
856 | 4 | 2 | |m Digitalisierung UB Regensburg |q application/pdf |u 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 |3 Inhaltsverzeichnis |
999 | |a oai:aleph.bib-bvb.de:BVB01-017159944 |
Datensatz im Suchindex
_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 |
author | Koshy, Thomas |
author_facet | Koshy, Thomas |
author_role | aut |
author_sort | Koshy, Thomas |
author_variant | t k tk |
building | Verbundindex |
bvnumber | BV035355877 |
callnumber-first | Q - Science |
callnumber-label | QA431 |
callnumber-raw | QA431 |
callnumber-search | QA431 |
callnumber-sort | QA 3431 |
callnumber-subject | QA - Mathematics |
classification_rvk | SK 170 SK 180 |
ctrlnum | (OCoLC)494085460 (DE-599)BVBBV035355877 |
dewey-full | 511/.6 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 511 - General principles of mathematics |
dewey-raw | 511/.6 |
dewey-search | 511/.6 |
dewey-sort | 3511 16 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
format | Book |
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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 |
open_access_boolean | |
owner | DE-19 DE-BY-UBM DE-11 DE-355 DE-BY-UBR DE-83 |
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 |
url | 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 |
work_keys_str_mv | AT koshythomas catalannumberswithapplications |