Galoissche Theorie:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English German |
| Veröffentlicht: |
Zürich u.a.
Deutsch
1973
|
| Ausgabe: | 2., unveränd. Aufl. |
| Schriftenreihe: | Deutsch-Taschenbücher
21 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 86 S. |
| ISBN: | 3871441678 |
Internformat
MARC
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| 240 | 1 | 0 | |a Galois theory |
| 245 | 1 | 0 | |a Galoissche Theorie |c E. Artin |
| 250 | |a 2., unveränd. Aufl. | ||
| 264 | 1 | |a Zürich u.a. |b Deutsch |c 1973 | |
| 300 | |a 86 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Deutsch-Taschenbücher |v 21 | |
| 650 | 4 | |a Galois theory | |
| 650 | 0 | 7 | |a Galois-Theorie |0 (DE-588)4155901-0 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Körpertheorie |0 (DE-588)4164455-4 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Galois-Theorie |0 (DE-588)4155901-0 |D s |
| 689 | 0 | 1 | |a Körpertheorie |0 (DE-588)4164455-4 |D s |
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Datensatz im Suchindex
| _version_ | 1804117117080961024 |
|---|---|
| adam_text | INHALTSVERZEICHNIS
I. Lineare Algebra
A. Körper 1
B. Vektorräume 1
C. Homogene lineare Gleichungen 2
D. Abhängigkeit und Unabhängigkeit von Vektoren 3
E. Inhomogene lineare Gleichungen 8
F. Determinanten 9
II. Körpertheorie
A. Erweiterungskörper 16
B. Polynome 18
C. Algebraische Elemente 19
D. Zerfällungskörper 25
E. Eindeutige Zerlegbarkeit von Polynomen in irreduzible Faktoren 27
F. Gruppencharaktere 28
G. Anwendungen und Beispiele zu Satz 13 31
H. Normale Körpererweiterung 34
I. Algebraische und separable Erweiterungen 42
J. Abelsche Gruppen und deren Anwendung auf die Körpertheorie 48
K. Einheitswurzeln 54
L. Noethersche Gleichungen 58
M. Kummersche Körper 60
N. Existenz einer normalen Basis 65
O. Der Translationssatz 67
III. Anwendungen
TonN.A.Milgram
A. Hilfsbetrachtungen aus der Gruppentheorie 68
B. Auflösbarkeit von Gleichungen durch Radikale 73
C. Die Galoissche Gruppe einer Gleichung 76
D. Konstruktionen mit Zirkel und Lineal 82
|
| any_adam_object | 1 |
| author | Artin, Emil 1898-1962 |
| author_GND | (DE-588)119045125 |
| author_facet | Artin, Emil 1898-1962 |
| author_role | aut |
| author_sort | Artin, Emil 1898-1962 |
| author_variant | e a ea |
| building | Verbundindex |
| bvnumber | BV002766141 |
| callnumber-first | Q - Science |
| callnumber-label | QA171 |
| callnumber-raw | QA171 |
| callnumber-search | QA171 |
| callnumber-sort | QA 3171 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 200 SK 230 |
| ctrlnum | (OCoLC)2925099 (DE-599)BVBBV002766141 |
| discipline | Mathematik |
| edition | 2., unveränd. Aufl. |
| format | Book |
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| id | DE-604.BV002766141 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:49:18Z |
| institution | BVB |
| isbn | 3871441678 |
| language | English German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001767238 |
| oclc_num | 2925099 |
| open_access_boolean | |
| owner | DE-384 DE-91G DE-BY-TUM DE-739 DE-824 DE-29T DE-20 DE-N2 |
| owner_facet | DE-384 DE-91G DE-BY-TUM DE-739 DE-824 DE-29T DE-20 DE-N2 |
| physical | 86 S. |
| publishDate | 1973 |
| publishDateSearch | 1973 |
| publishDateSort | 1973 |
| publisher | Deutsch |
| record_format | marc |
| series | Deutsch-Taschenbücher |
| series2 | Deutsch-Taschenbücher |
| spelling | Artin, Emil 1898-1962 Verfasser (DE-588)119045125 aut Galois theory Galoissche Theorie E. Artin 2., unveränd. Aufl. Zürich u.a. Deutsch 1973 86 S. txt rdacontent n rdamedia nc rdacarrier Deutsch-Taschenbücher 21 Galois-Theorie (DE-588)4155901-0 gnd rswk-swf Körpertheorie (DE-588)4164455-4 gnd rswk-swf Galois-Theorie (DE-588)4155901-0 s Körpertheorie (DE-588)4164455-4 s 1\p DE-604 Deutsch-Taschenbücher 21 (DE-604)BV000016703 21 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001767238&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Artin, Emil 1898-1962 Galoissche Theorie Deutsch-Taschenbücher Galois theory Galois-Theorie (DE-588)4155901-0 gnd Körpertheorie (DE-588)4164455-4 gnd |
| subject_GND | (DE-588)4155901-0 (DE-588)4164455-4 |
| title | Galoissche Theorie |
| title_alt | Galois theory |
| title_auth | Galoissche Theorie |
| title_exact_search | Galoissche Theorie |
| title_full | Galoissche Theorie E. Artin |
| title_fullStr | Galoissche Theorie E. Artin |
| title_full_unstemmed | Galoissche Theorie E. Artin |
| title_short | Galoissche Theorie |
| title_sort | galoissche theorie |
| topic | Galois theory Galois-Theorie (DE-588)4155901-0 gnd Körpertheorie (DE-588)4164455-4 gnd |
| topic_facet | Galois theory Galois-Theorie Körpertheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001767238&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000016703 |
| work_keys_str_mv | AT artinemil galoistheory AT artinemil galoisschetheorie |