Diskrete Mathematik Grundlage der Informatik

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1. Verfasser: Hower, Walter (VerfasserIn)
Format: Buch
Sprache:German
Veröffentlicht: Berlin ; Boston De Gruyter Oldenbourg [2022]
Ausgabe:2. Auflage
Schriftenreihe:De Gruyter Studium
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Datensatz im Suchindex

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adam_text INHALTSVERZEICHNIS 0 EINFUEHRUNG 1 1 GRUNDSTOCK 3 1.1 BASIS ................................................................................................................. 3 1.2 FUNKTIONEN ....................................................................................................... 4 1.3 RELATIONEN ....................................................................................................... 8 2 MENGEN-LEHRE 13 2.1 GRUNDLAGEN ..................................................................................................... 13 2.2 BEGRIFFE ............................................................................................................ 15 2.3 GESETZMAESSIGKEITEN ........................................................................................... 18 2.4 KARDINALITAET ENDLICHER MENGEN .................................................................... 20 2.5 UEBER-/ABZAEHLBARKEIT UNENDLICHER MENGEN ................................................. 25 3 BOOLESCHE ALGEBRA 29 3.1 BEGRIFFE ............................................................................................................ 29 3.2 WERTE-TAFELN ................................................................................................... 29 3.2.1 GRUND-MUSTER .................................................................................................. 29 3.2.2 BELEGUNGS-MOEGLICHKEITEN ................................................................................ 33 3.3 GESETZMAESSIGKEITEN ........................................................................................... 33 4 BEWEIS-PRINZIPIEN 35 4.1 INDUKTION ......................................................................................................... 35 4.1.1 NATUERLICHE ZAHLEN ........................................................................................... 35 4.1.2 WORT-LAENGEN ................................................................................................... 44 4.2 DIREKTER BEWEIS .............................................................................................. 46 4.3 INDIREKTER BEWEIS ............................................................................................ 47 XII INHALTSVERZEICHNIS 5 ZAEHL-TECHNIKEN 49 5.1 GRUNDLEGENDES ................................................................................................. 49 5.1.1 SUMMEN-REGEL ................................................................................................. 49 5.1.2 PRODUKT-REGEL .................................................................................................. 50 5.1.3 QUOTIENTEN-REGEL ............................................................................................. 51 5.1.4 SCHUBFACH-PRINZIP ........................................................................................... 51 5.2 EIN-/AUSSCHLUSS ............................................................................................... 52 5.3 REKURRENZ-RELATION .......................................................................................... 55 5.4 REIHENFOLGEN UND AUSWAHLEN ........................................................................ 73 5.4.1 PERMUTATIONEN ................................................................................................. 73 5.4.2 KOMBINATIONEN ................................................................................................. 76 5.5 STIRLING UND BELL-ZAHLEN ............................................................................... 83 5.5.1 STIRLING-ZAHLEN 1. ART ...................................................................................... 83 5.5.2 STIRLING-ZAHLEN 2. ART ...................................................................................... 86 5.5.3 BELL-ZAHLEN ........................................................................................................ 89 6 WAHRSCHEINLICHKEITS-THEORIE 93 6.1 ALLGEMEINE WAHRSCHEINLICHKEIT ...................................................................... 93 6.2 BEDINGTE WAHRSCHEINLICHKEIT .......................................................................... 97 A ANHANG 101 A.L UEBUNG: GRUNDSTOCK ........................................................................................... 101 A.2 UEBUNG: MENGEN-LEHRE ........................................................................................ 103 A.3 UEBUNG: BOOLESCHE ALGEBRA ............................................................................... 106 A.4 UEBUNG: BEWEIS-PRINZIPIEN ................................................................................ 110 A.5 UEBUNG: ZAEHL-TECHNIKEN .................................................................................... 112 A. 6 UEBUNG: WAHRSCHEINLICHKEITS-THEORIE ............................................................. 114 B BONUS-TRACK 117 B. L UEBUNG: GRUNDSTOCK ......................................................................................... 117 B.2 UEBUNG: MENGEN-LEHRE ...................................................................................... 119 B.3 UEBUNG: BOOLESCHE ALGEBRA ................................................................................. 121 B.4 UEBUNG: BEWEIS-PRINZIPIEN ................................................................................ 123 B.5 UEBUNG: ZAEHL-TECHNIKEN ...................................................................................... 125 B.6 UEBUNG: WAHRSCHEINLICHKEITS-THEORIE ............................................................... 127 INHALTSVERZEICHNIS XIII LITERATURVERZEICHNIS 129 REGISTER 131
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author Hower, Walter
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discipline Informatik
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edition 2. Auflage
format Book
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physical XIII, 133 Seiten Illustrationen, Diagramme 24 cm x 17 cm, 260 g
publishDate 2022
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publishDateSort 2022
publisher De Gruyter Oldenbourg
record_format marc
series2 De Gruyter Studium
spellingShingle Hower, Walter
Diskrete Mathematik Grundlage der Informatik
Diskrete Mathematik (DE-588)4129143-8 gnd
subject_GND (DE-588)4129143-8
(DE-588)4123623-3
title Diskrete Mathematik Grundlage der Informatik
title_auth Diskrete Mathematik Grundlage der Informatik
title_exact_search Diskrete Mathematik Grundlage der Informatik
title_full Diskrete Mathematik Grundlage der Informatik Walter Hower
title_fullStr Diskrete Mathematik Grundlage der Informatik Walter Hower
title_full_unstemmed Diskrete Mathematik Grundlage der Informatik Walter Hower
title_short Diskrete Mathematik
title_sort diskrete mathematik grundlage der informatik
title_sub Grundlage der Informatik
topic Diskrete Mathematik (DE-588)4129143-8 gnd
topic_facet Diskrete Mathematik
Lehrbuch
url http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=032966527&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv AT howerwalter diskretemathematikgrundlagederinformatik
AT degruyteroldenbourg diskretemathematikgrundlagederinformatik