Elemente der diskreten Mathematik: Zahlen und Zählen, Graphen und Verbände
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | German |
| Published: |
Berlin
De Gruyter
2013
|
| Series: | De Gruyter Studium
|
| Subjects: | |
| Online Access: | Inhaltstext Inhaltsverzeichnis |
| Physical Description: | XI, 246 S. Ill., graph. Darst. |
| ISBN: | 3110277670 9783110277678 |
Staff View
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IMAGE 1
INHALT
VORWORT V
1 ELEMENTARE Z A H L E N T H E O R I E - 1
1.1 E I N F UE H R U N G 1
1.1.1 VON N A T UE R L I C H E N Z U K O M P L E X E N Z A H L E N 1
1.1.2 VON H A L B G R U P P E N Z U KOERPERN 2
1.2 DER E U K L I D I S C H E A L G O R I T H M U S 3
1.3 DER F U N D A M E N T A L S A T Z D E R A R I T H M E T I K 5
1.4 M O D U L A R E A R I T H M E T I K 6
1.5 A N W E N D U N G E N D E R M O D U L A R E N A R I T H M E T I K 8
1.5.1 BITS U N D B Y T E S 8
1.5.2 F E H L E R E R K E N N U N G B E I A R T I K E L N U M M E R N 9
1.6 DER C H I N E S I S C H E R E S T S A T Z 9
1.7 EIN E R S T E R P R I M Z A H L T E S T N A C H F E R M A T 1 2
1.8 DIE S C H N E L L E E X P O N E N T I A T I O N 1 3
1.9 V E R S C H L UE S S E L U N G M I T D E M RSA-VERFAHREN 15
1.10 DIE E U L E R ' S C H E P H I - F U N K T I O N 17
1.11 FIBONACCI-ZAHLEN 2 1
1.12 L A U F Z E I T A N A L Y S E D E S E U K L I D I S C H E N A L G O
R I T H M U S 2 5
A U F G A B E N 2 6
Z U S A M M E N F A S S U N G 3 0
2 EINIGE N UE T Z L I C H E A B S C H AE T Z U N G E N 3 2
2.1 D A S W A C H S T U M D E R F A K U L T AE T 3 2
2 . 2 D A S W A C H S T U M D E R B I N O M I A L K O E F F I Z I E N T
E N 3 3
2 . 3 D A S W A C H S T U M D E S K L E I N S T E N G E M E I N S A M E
N V I E L F A C H E N
2 . 4 A U S S A G E N Z U R P R I M Z A H L D I C H T E 3 9
2.5 D A S B E R T R A N D ' S C H E P O S T U L A T 4 1
A U F G A B E N 4 3
Z U S A M M E N F A S S U N G 4 4
3 DISKRETE W A H R S C H E I N L I C H K E I T S R E C H N U N G - 4 5
3.1 W A H R S C H E I N L I C H K E I T S R AE U M E U N D E R W A R T U
N G S W E R T E 4 5
3 . 2 DIE J E N S E N ' S C H E U N G L E I C H U N G 4 9
3 . 3 D A S G E B U R T S T A G S P A R A D O X O N 5 0
A U F G A B E N 5 1
Z U S A M M E N F A S S U N G 5 3
HTTP://D-NB.INFO/1029454817
IMAGE 2
X - I N H A L T
4 KOMBINATORIK 5 4
4.1 A B Z AE H L E N D E K O M B I N A T O R I K 5 4
4 . 2 B I N O M I A T K O E F F I Z I E N T E N 5 6
4 . 3 D U R C H S C H N I T T S A N A L Y S E V O N B U B B L E - S O R
T 6 8
4 . 4 D A S PRINZIP V O N I N K L U S I O N U N D EXKLUSION 6 9
4 . 5 R E N C O N T R E S - Z A H L E N 7 2
4 . 6 STIRLING-ZAHLEN 7 3
4 . 6 . 1 DIE STIRLING-ZAHLEN Z W E I T E R ART 7 4
4 . 6 . 2 DIE STIRLING-ZAHLEN E R S T E R ART 7 8
4 . 7 BELL-ZAHLEN 8 2
4 . 8 P A R T I T I O N S Z A H L E N 8 3
4 . 9 C A T A L A N - Z A H T E N 8 6
4.9.1 DYCK-WOERTER U N D C A T A L A N - Z A H L E N 8 6
4 . 9 . 2 B I N AE R B AE U M E U N D C A T A L A N - Z A H L E N 8 8
4 . 1 0 DIE M I T T L E R E H OE H E B I N AE R E R S U C H B AE U M E 9 0
A U F G A B E N 9 2
Z U S A M M E N F A S S U N G 9 6
5 E R Z E U G E N D E FUNKTIONEN 9 9
5.1 G E W OE H N L I C H E E R Z E U G E N D E F U N K T I O N E N 9 9
5.1.1 FIBONACCI-ZAHLEN 1 0 0
5.1.2 C A T A L A N - Z A H L E N 1 0 1
5.1.3 STIRLING-ZAHLEN Z W E I T E R ART 1 0 2
5.1.4 P A R T I T I O N S Z A H L E N 1 0 2
5.1.5 D A S W A C H S T U M D E R P A R T I T I O N S Z A H L E N 1 0 6
5.1.6 DER P E N T A G O N A L Z A H L E N S A T Z 1 0 7
5.2 E X P O N E N T I E L L E E R Z E U G E N D E F U N K T I O N E N
111
5.2.1 STIRLING-ZAHLEN E R S T E R ART 112
5 . 2 . 2 BELL-ZAHLEN 113
A U F G A B E N 113
Z U S A M M E N F A S S U N G 115
6 GRAPHENTHEORIE 117
6.1 G R U N D B E G R I F F E 117
6 . 2 E U L E R K R E I S E U N D H A M I L T O N K R E I S E 1 2 3
6 . 3 B AE U M E 1 2 6
6 . 4 DIE CAYLEY-FORMEL 1 2 8
6 . 5 DER H E I R A T S S A T Z 1 3 0
6 . 6 S T A B I L E HEIRAT 1 3 1
6 . 7 DER S A T Z V O N M E N G E R 1 3 4
IMAGE 3
I N H A L T
X I
6 . 8 M A X I M A L E F L UE S S E 1 3 5
6 . 8 . 1 DER S A T Z V O N FORD U N D F U L K E R S O N 1 3 6
6 . 8 . 2 R E S I D U A L G R A P H E N U N D V E R B E S S E R U N G S
P F A D E 1 3 9
6 . 8 . 3 DER A L G O R I T H M U S V O N DINITZ 1 4 1
6 . 9 P L A N A R E G R A P H E N 1 4 4
6.9.1 DIE E U L E R F O R M E L 1 4 6
6 . 9 . 2 F AE R B U N G E N V O N P L A N A R E N G R A P H E N 1 4 8
6 . 9 . 3 P L A N A R E S E P A R A T O R E N 1 4 9
6 . 1 0 DER S A T Z V O N R A M S E Y 1 5 2
A U F G A B E N 1 5 6
Z U S A M M E N F A S S U N G 1 5 9
7 ORDNUNGSSTRUKTUREN UND V E R B AE N D E - 161
7.1 H A L B O R D N U N G E N 1 6 1
7.2 V O L L S T AE N D I G E H A L B O R D N U N G E N 1 6 5
7.3 D E N O T A T I O N A L E S E M A N T I K 1 6 6
7.4 K L E I N S T E F I X P U N K T E F UE R M O N O T O N E A B B I L D
U N G E N
7.5 V E R B AE N D E 171
7.6 V O L L S T AE N D I G E V E R B AE N D E 1 7 3
7.7 M O D U L A R E U N D D I S T R I B U T I V E V E R B AE N D E 174
7.8 B O O L E S C H E V E R B AE N D E 1 7 9
7.9 B O O L E S C H E R I N G E 1 8 1
7.10 DER A L L G E M E I N E D A R S T E L L U N G S S A T Z V O N S T O
N E -
A U F G A B E N 1 8 7
Z U S A M M E N F A S S U N G 1 8 8
8 B O O L E S C H E FUNKTIONEN UND S C H A L T K R E I S E 1 9 0
8.1 S H A N N O N S O B E R E S C H R A N K E F UE R D I E A N Z A H L D
E R G A T T E R 1 9 2
8 . 2 DIE U N T E R E S C H R A N K E V O N S H A N N O N - 1 9 3
8 . 3 DIE O B E R E S C H R A N K E V O N L U P A N O V 1 9 6
A GRUNDLAGEN 1 9 9
A . L M E N G E N , R E L A T I O N E N U N D A B B I L D U N G E N 1 9
9
A.2 DIE (9-NOTATION 2 0 0
B LOESUNGEN D E R A U F G A B E N 2 0 2
L I T E R A T U R V E R Z E I C H N I S 2 3 3
S Y M B O L V E R Z E I C H N I S 2 3 5
I N D E X 2 3 9
1 6 9
1 8 3 |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| genre_facet | Lehrbuch |
| id | DE-604.BV041106646 |
| illustrated | Illustrated |
| indexdate | 2025-02-20T07:11:48Z |
| institution | BVB |
| isbn | 3110277670 9783110277678 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-026082942 |
| oclc_num | 852487538 |
| open_access_boolean | |
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| physical | XI, 246 S. Ill., graph. Darst. |
| publishDate | 2013 |
| publishDateSearch | 2013 |
| publishDateSort | 2013 |
| publisher | De Gruyter |
| record_format | marc |
| series2 | De Gruyter Studium |
| spellingShingle | Diekert, Volker 1955- Kufleitner, Manfred Rosenberger, Gerhard 1944- Elemente der diskreten Mathematik Zahlen und Zählen, Graphen und Verbände Diskrete Mathematik (DE-588)4129143-8 gnd |
| subject_GND | (DE-588)4129143-8 (DE-588)4123623-3 |
| title | Elemente der diskreten Mathematik Zahlen und Zählen, Graphen und Verbände |
| title_auth | Elemente der diskreten Mathematik Zahlen und Zählen, Graphen und Verbände |
| title_exact_search | Elemente der diskreten Mathematik Zahlen und Zählen, Graphen und Verbände |
| title_full | Elemente der diskreten Mathematik Zahlen und Zählen, Graphen und Verbände Volker Diekert, Manfred Kufleitner, Gerhard Rosenberger |
| title_fullStr | Elemente der diskreten Mathematik Zahlen und Zählen, Graphen und Verbände Volker Diekert, Manfred Kufleitner, Gerhard Rosenberger |
| title_full_unstemmed | Elemente der diskreten Mathematik Zahlen und Zählen, Graphen und Verbände Volker Diekert, Manfred Kufleitner, Gerhard Rosenberger |
| title_short | Elemente der diskreten Mathematik |
| title_sort | elemente der diskreten mathematik zahlen und zahlen graphen und verbande |
| title_sub | Zahlen und Zählen, Graphen und Verbände |
| topic | Diskrete Mathematik (DE-588)4129143-8 gnd |
| topic_facet | Diskrete Mathematik Lehrbuch |
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Description
THWS Schweinfurt Zentralbibliothek Lesesaal
| Call Number: |
2000 SK 890 D559 |
|---|---|
| Copy 1 | ausleihbar Available Place a Hold |