How to count: an introduction to combinatorics and its applications
Gespeichert in:
1. Verfasser: | |
---|---|
Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Cham [u.a.]
Springer
2015
|
Schlagworte: | |
Online-Zugang: | BTU01 FRO01 TUM01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
Beschreibung: | 1 Online-Ressource (XV, 361 S.) 61 illus., 2 illus. in color |
ISBN: | 9783319138442 |
DOI: | 10.1007/978-3-319-13844-2 |
Internformat
MARC
LEADER | 00000nmm a2200000zc 4500 | ||
---|---|---|---|
001 | BV042481761 | ||
003 | DE-604 | ||
005 | 20200929 | ||
007 | cr|uuu---uuuuu | ||
008 | 150402s2015 |||| o||u| ||||||eng d | ||
020 | |a 9783319138442 |c Online |9 978-3-319-13844-2 | ||
024 | 7 | |a 10.1007/978-3-319-13844-2 |2 doi | |
035 | |a (OCoLC)906195191 | ||
035 | |a (DE-599)BVBBV042481761 | ||
040 | |a DE-604 |b ger |e aacr | ||
041 | 0 | |a eng | |
049 | |a DE-91 |a DE-19 |a DE-703 |a DE-20 |a DE-739 |a DE-634 |a DE-861 |a DE-83 | ||
082 | 0 | |a 511.6 |2 23 | |
084 | |a SK 170 |0 (DE-625)143221: |2 rvk | ||
084 | |a MAT 000 |2 stub | ||
100 | 1 | |a Beeler, Robert A. |e Verfasser |4 aut | |
245 | 1 | 0 | |a How to count |b an introduction to combinatorics and its applications |c Robert A. Beeler |
264 | 1 | |a Cham [u.a.] |b Springer |c 2015 | |
300 | |a 1 Online-Ressource (XV, 361 S.) |b 61 illus., 2 illus. in color | ||
336 | |b txt |2 rdacontent | ||
337 | |b c |2 rdamedia | ||
338 | |b cr |2 rdacarrier | ||
650 | 4 | |a Mathematics | |
650 | 4 | |a Combinatorics | |
650 | 4 | |a Distribution (Probability theory) | |
650 | 4 | |a Probability Theory and Stochastic Processes | |
650 | 4 | |a Mathematik | |
650 | 0 | 7 | |a Kombinatorik |0 (DE-588)4031824-2 |2 gnd |9 rswk-swf |
689 | 0 | 0 | |a Kombinatorik |0 (DE-588)4031824-2 |D s |
689 | 0 | |8 1\p |5 DE-604 | |
776 | 0 | 8 | |i Erscheint auch als |n Druckausgabe |z 978-3-319-13843-5 |
856 | 4 | 0 | |u https://doi.org/10.1007/978-3-319-13844-2 |x Verlag |3 Volltext |
856 | 4 | 2 | |m Springer Fremddatenuebernahme |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027916720&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
856 | 4 | 2 | |m Springer Fremddatenuebernahme |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027916720&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |3 Abstract |
912 | |a ZDB-2-SMA | ||
940 | 1 | |q UBY_PDA_SMA | |
940 | 1 | |q ZDB-2-SMA_2015 | |
999 | |a oai:aleph.bib-bvb.de:BVB01-027916720 | ||
883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
966 | e | |u https://doi.org/10.1007/978-3-319-13844-2 |l BTU01 |p ZDB-2-SMA |x Verlag |3 Volltext | |
966 | e | |u https://doi.org/10.1007/978-3-319-13844-2 |l FRO01 |p ZDB-2-SMA |x Verlag |3 Volltext | |
966 | e | |u https://doi.org/10.1007/978-3-319-13844-2 |l TUM01 |p ZDB-2-SMA |x Verlag |3 Volltext | |
966 | e | |u https://doi.org/10.1007/978-3-319-13844-2 |l UBM01 |p ZDB-2-SMA |x Verlag |3 Volltext | |
966 | e | |u https://doi.org/10.1007/978-3-319-13844-2 |l UBT01 |p ZDB-2-SMA |x Verlag |3 Volltext | |
966 | e | |u https://doi.org/10.1007/978-3-319-13844-2 |l UBW01 |p ZDB-2-SMA |x Verlag |3 Volltext | |
966 | e | |u https://doi.org/10.1007/978-3-319-13844-2 |l UPA01 |p ZDB-2-SMA |x Verlag |3 Volltext |
Datensatz im Suchindex
_version_ | 1804153211309785088 |
---|---|
adam_text | HOW TO COUNT
/ BEELER, ROBERT A.
: 2015
TABLE OF CONTENTS / INHALTSVERZEICHNIS
PRELIMINARIES
BASIC COUNTING
THE BINOMIAL COEFFICIENT
DISTRIBUTION PROBLEMS
GENERATING FUNCTIONS
RECURRENCE RELATIONS
ADVANCED COUNTING - INCLUSION AND EXCLUSION
ADVANCED COUNTING - POLYA THEORY
APPLICATION: PROBABILITY
APPLICATION: COMBINATORIAL DESIGNS
APPLICATION: GRAPH THEORY
APPENDICES
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
HOW TO COUNT
/ BEELER, ROBERT A.
: 2015
ABSTRACT / INHALTSTEXT
PROVIDING ASELF-CONTAINEDRESOURCE FOR UPPER UNDERGRADUATE
COURSESIN COMBINATORICS, THISTEXTEMPHASIZES COMPUTATION, PROBLEM
SOLVING, AND PROOF TECHNIQUE. IN PARTICULAR, THE BOOK PLACES
SPECIALEMPHASIS THE PRINCIPLE OF INCLUSION AND EXCLUSION AND THE
MULTIPLICATION PRINCIPLE. TO THIS END, EXERCISE SETS ARE INCLUDED AT THE
END OF EVERY SECTION, RANGING FROM SIMPLE COMPUTATIONS (EVALUATE A
FORMULA FOR A GIVEN SET OF VALUES) TO MORE ADVANCED PROOFS. THE
EXERCISES ARE DESIGNED TOTEST STUDENTS UNDERSTANDING OF NEW MATERIAL,
WHILEREINFORCING A WORKING MASTERY OF THE KEY CONCEPTS
PREVIOUSLYDEVELOPED IN THE BOOK. INTUITIVE DESCRIPTIONS FOR MANY
ABSTRACT TECHNIQUES ARE INCLUDED. STUDENTS OFTEN STRUGGLE WITH CERTAIN
TOPICS, SUCH AS GENERATING FUNCTIONS, AND THIS INTUITIVE APPROACH TO THE
PROBLEM IS HELPFUL IN THEIR UNDERSTANDING. WHEN POSSIBLE, THE BOOK
INTRODUCESCONCEPTS USINGCOMBINATORIAL METHODS (AS OPPOSED TO
INDUCTION OR ALGEBRA) TO PROVE IDENTITIES. STUDENTS ARE ALSO ASKED TO
PROVE IDENTITIES USING COMBINATORIAL METHODS AS PART OF THEIR EXERCISES.
THESE METHODS HAVE SEVERAL ADVANTAGES OVER INDUCTION OR ALGEBRA
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
any_adam_object | 1 |
author | Beeler, Robert A. |
author_facet | Beeler, Robert A. |
author_role | aut |
author_sort | Beeler, Robert A. |
author_variant | r a b ra rab |
building | Verbundindex |
bvnumber | BV042481761 |
classification_rvk | SK 170 |
classification_tum | MAT 000 |
collection | ZDB-2-SMA |
ctrlnum | (OCoLC)906195191 (DE-599)BVBBV042481761 |
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 | 3511.6 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
doi_str_mv | 10.1007/978-3-319-13844-2 |
format | Electronic eBook |
fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02814nmm a2200577zc 4500</leader><controlfield tag="001">BV042481761</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20200929 </controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">150402s2015 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783319138442</subfield><subfield code="c">Online</subfield><subfield code="9">978-3-319-13844-2</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/978-3-319-13844-2</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)906195191</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV042481761</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">aacr</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-91</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-20</subfield><subfield code="a">DE-739</subfield><subfield code="a">DE-634</subfield><subfield code="a">DE-861</subfield><subfield code="a">DE-83</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">511.6</subfield><subfield code="2">23</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 170</subfield><subfield code="0">(DE-625)143221:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 000</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Beeler, Robert A.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">How to count</subfield><subfield code="b">an introduction to combinatorics and its applications</subfield><subfield code="c">Robert A. Beeler</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Cham [u.a.]</subfield><subfield code="b">Springer</subfield><subfield code="c">2015</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (XV, 361 S.)</subfield><subfield code="b">61 illus., 2 illus. in color</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Combinatorics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Distribution (Probability theory)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Probability Theory and Stochastic Processes</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematik</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Kombinatorik</subfield><subfield code="0">(DE-588)4031824-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Kombinatorik</subfield><subfield code="0">(DE-588)4031824-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druckausgabe</subfield><subfield code="z">978-3-319-13843-5</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1007/978-3-319-13844-2</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Springer Fremddatenuebernahme</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027916720&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Springer Fremddatenuebernahme</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027916720&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Abstract</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-2-SMA</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">UBY_PDA_SMA</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">ZDB-2-SMA_2015</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-027916720</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-319-13844-2</subfield><subfield code="l">BTU01</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-319-13844-2</subfield><subfield code="l">FRO01</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-319-13844-2</subfield><subfield code="l">TUM01</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-319-13844-2</subfield><subfield code="l">UBM01</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-319-13844-2</subfield><subfield code="l">UBT01</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-319-13844-2</subfield><subfield code="l">UBW01</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-319-13844-2</subfield><subfield code="l">UPA01</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield></record></collection> |
id | DE-604.BV042481761 |
illustrated | Illustrated |
indexdate | 2024-07-10T01:23:00Z |
institution | BVB |
isbn | 9783319138442 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027916720 |
oclc_num | 906195191 |
open_access_boolean | |
owner | DE-91 DE-BY-TUM DE-19 DE-BY-UBM DE-703 DE-20 DE-739 DE-634 DE-861 DE-83 |
owner_facet | DE-91 DE-BY-TUM DE-19 DE-BY-UBM DE-703 DE-20 DE-739 DE-634 DE-861 DE-83 |
physical | 1 Online-Ressource (XV, 361 S.) 61 illus., 2 illus. in color |
psigel | ZDB-2-SMA UBY_PDA_SMA ZDB-2-SMA_2015 |
publishDate | 2015 |
publishDateSearch | 2015 |
publishDateSort | 2015 |
publisher | Springer |
record_format | marc |
spelling | Beeler, Robert A. Verfasser aut How to count an introduction to combinatorics and its applications Robert A. Beeler Cham [u.a.] Springer 2015 1 Online-Ressource (XV, 361 S.) 61 illus., 2 illus. in color txt rdacontent c rdamedia cr rdacarrier Mathematics Combinatorics Distribution (Probability theory) Probability Theory and Stochastic Processes Mathematik Kombinatorik (DE-588)4031824-2 gnd rswk-swf Kombinatorik (DE-588)4031824-2 s 1\p DE-604 Erscheint auch als Druckausgabe 978-3-319-13843-5 https://doi.org/10.1007/978-3-319-13844-2 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027916720&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027916720&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Beeler, Robert A. How to count an introduction to combinatorics and its applications Mathematics Combinatorics Distribution (Probability theory) Probability Theory and Stochastic Processes Mathematik Kombinatorik (DE-588)4031824-2 gnd |
subject_GND | (DE-588)4031824-2 |
title | How to count an introduction to combinatorics and its applications |
title_auth | How to count an introduction to combinatorics and its applications |
title_exact_search | How to count an introduction to combinatorics and its applications |
title_full | How to count an introduction to combinatorics and its applications Robert A. Beeler |
title_fullStr | How to count an introduction to combinatorics and its applications Robert A. Beeler |
title_full_unstemmed | How to count an introduction to combinatorics and its applications Robert A. Beeler |
title_short | How to count |
title_sort | how to count an introduction to combinatorics and its applications |
title_sub | an introduction to combinatorics and its applications |
topic | Mathematics Combinatorics Distribution (Probability theory) Probability Theory and Stochastic Processes Mathematik Kombinatorik (DE-588)4031824-2 gnd |
topic_facet | Mathematics Combinatorics Distribution (Probability theory) Probability Theory and Stochastic Processes Mathematik Kombinatorik |
url | https://doi.org/10.1007/978-3-319-13844-2 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027916720&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027916720&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
work_keys_str_mv | AT beelerroberta howtocountanintroductiontocombinatoricsanditsapplications |