Lineare Algebra für Informatiker: I. Grundlagen, diskrete Mathematik ; II. Lineare Algebra
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | German |
| Published: |
Berlin [u.a.]
Springer
2000
|
| Series: | Springer-Lehrbuch
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Enth. 1. Grundlagen, diskrete Mathematik. 2. Lineare Algebra |
| Physical Description: | VIII, 274 S. Ill., graph. Darst. |
| ISBN: | 3540675337 9783540675334 |
Staff View
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Record in the Search Index
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| adam_text |
BODO PAREIGIS LINEARE ALGEBRA FUER INFORMATIKER I. GRUNDLAGEN, DISKRETE
MATHEMATIK II. LINEARE ALGEBRA SPRINGER INHALTSVERZEICHNIS TEIL I.
GRUNDLAGEN, DISKRETE MATHEMATIK 1. GRUNDBEGRIFFE DER MENGENLEHRE 3 1.1
MENGEN 3 1.2 RELATIONEN UND ABBILDUNGEN 19 1.3 MULTIMENGEN UND
FUZZY-MENGEN (FUZZY SETS) 33 1.4 AEQUIVALENZRELATIONEN 42 1.5 ORDNUNGEN
49 2. NATUERLICHE ZAHLEN 53 2.1 DIE NATUERLICHEN ZAHLEN UND DIE
VOLLSTAENDIGE INDUKTION 53 2.2 PRIMITIVE REKURSION 57 2.3 DIE STRUKTUREN
AUF DEN NATUERLICHEN ZAHLEN 62 2.4 ANZAHLAUSSAGEN 69 2.5 ELEMENTE DER
WAHRSCHEINLICHKEITSRECHNUNG 76 2.6 EIN KURZER AUFBAU DES ZAHLENSYSTEMS
86 3. ALGEBRAISCHE GRUNDSTRUKTUREN 91 3.1 HALBGRUPPEN, MONOIDE UND
GRUPPEN 91 3.2 HOMOMORPHISMEN 97 3.3 FREIE HALBGRUPPEN, MONOIDE UND
GRUPPEN 99 3.4 KONGRUENZRELATIONEN UND RESTKLASSEN 101 3.5
RESTKLASSENGRUPPEN 107 3.6 RINGE UND KOERPER 113 3.7 BOOLESCHE RINGE UND
ALGEBREN 118 4. KOMBINATORIK UND GRAPHEN 127 4.1 SCHLICHTE GRAPHEN 127
4.2 EBENE GRAPHEN 130 4.3 BAEUME 137 VIII INHALTSVERZEICHNIS TEIL II.
LINEARE ALGEBRA 5. VEKTORRAEUME 14 3 5.1 GRUNDBEGRIFFE, UNTERVEKTORRAEUME
143 5.2 LINEARKOMBINATIONEN, BASEN, DIMENSION 151 5.3 DIREKTE SUMMEN 161
5.4 LINEARE ABBILDUNGEN 166 5.5 DIE DARSTELLENDE MATRIX 179 5.6
RESTKLASSENRAEUME, AFFINE RAEUME 190 6. MATRIZEN UND LINEARE
GLEICHUNGSSYSTEME 195 6.1 LINEARE GLEICHUNGSSYSTEME 195 6.2 DAS GAUSSSCHE
ELIMINATIONSVERFAHREN 199 6.3 INVERSE MATRIZEN, DIE LU-ZERLEGUNG UND DIE
PIVOT-METHODE . . 206 6.4 EIN KAPITEL CODIERUNGSTHEORIE 216 7.
EIGENWERTTHEORIE 227 7.1 DETERMINANTEN 227 7.2 EIGENWERTE UND
EIGENVEKTOREN 234 7.3 DAS CHARAKTERISTISCHE POLYNOM 236 7.4
DIAGONALISIERBARE MATRIZEN UND ENDOMORPHISMEN 238 7.5 POTENZMETHODE ZUR
BESTIMMUNG DOMINANTER EIGENWERTE (R. V. MISES) 240 8. EUKLIDISCHE
VEKTORRAEUME 243 8.1 SKALARPRODUKTE 243 8.2 NORMIERTE VEKTORRAEUME 247 8.3
DIE HESSESCHE NORMALFORM 252 8.4 ISOMETRIEN 254 8.5 ORTHOGONALE MATRIZEN
255 8.6 ADJUNGIERTE ABBILDUNGEN 258 8.7 DIE HAUPTACHSENTRANSFORMATION
262 LITERATURHINWEISE 265 SACHVERZEICHNIS 267 |
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| author | Pareigis, Bodo 1937- |
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| bvnumber | BV013289871 |
| classification_rvk | SK 220 |
| ctrlnum | (OCoLC)247440537 (DE-599)BVBBV013289871 |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV013289871 |
| illustrated | Illustrated |
| indexdate | 2025-01-21T09:00:52Z |
| institution | BVB |
| isbn | 3540675337 9783540675334 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009061324 |
| oclc_num | 247440537 |
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| physical | VIII, 274 S. Ill., graph. Darst. |
| publishDate | 2000 |
| publishDateSearch | 2000 |
| publishDateSort | 2000 |
| publisher | Springer |
| record_format | marc |
| series2 | Springer-Lehrbuch |
| spelling | Pareigis, Bodo 1937- Verfasser (DE-588)106674390 aut Lineare Algebra für Informatiker I. Grundlagen, diskrete Mathematik ; II. Lineare Algebra Bodo Pareigis Berlin [u.a.] Springer 2000 VIII, 274 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Springer-Lehrbuch Enth. 1. Grundlagen, diskrete Mathematik. 2. Lineare Algebra Diskrete Mathematik - Lehrbuch Lineare Algebra - Lehrbuch Lineare Algebra (DE-588)4035811-2 gnd rswk-swf Lineare Algebra (DE-588)4035811-2 s DE-604 HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009061324&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Pareigis, Bodo 1937- Lineare Algebra für Informatiker I. Grundlagen, diskrete Mathematik ; II. Lineare Algebra Diskrete Mathematik - Lehrbuch Lineare Algebra - Lehrbuch Lineare Algebra (DE-588)4035811-2 gnd |
| subject_GND | (DE-588)4035811-2 |
| title | Lineare Algebra für Informatiker I. Grundlagen, diskrete Mathematik ; II. Lineare Algebra |
| title_auth | Lineare Algebra für Informatiker I. Grundlagen, diskrete Mathematik ; II. Lineare Algebra |
| title_exact_search | Lineare Algebra für Informatiker I. Grundlagen, diskrete Mathematik ; II. Lineare Algebra |
| title_full | Lineare Algebra für Informatiker I. Grundlagen, diskrete Mathematik ; II. Lineare Algebra Bodo Pareigis |
| title_fullStr | Lineare Algebra für Informatiker I. Grundlagen, diskrete Mathematik ; II. Lineare Algebra Bodo Pareigis |
| title_full_unstemmed | Lineare Algebra für Informatiker I. Grundlagen, diskrete Mathematik ; II. Lineare Algebra Bodo Pareigis |
| title_short | Lineare Algebra für Informatiker |
| title_sort | lineare algebra fur informatiker i grundlagen diskrete mathematik ii lineare algebra |
| title_sub | I. Grundlagen, diskrete Mathematik ; II. Lineare Algebra |
| topic | Diskrete Mathematik - Lehrbuch Lineare Algebra - Lehrbuch Lineare Algebra (DE-588)4035811-2 gnd |
| topic_facet | Diskrete Mathematik - Lehrbuch Lineare Algebra - Lehrbuch Lineare Algebra |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009061324&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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