Galois theory:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
London
Chapman and Hall
1989
|
| Ausgabe: | 2. ed. |
| Schriftenreihe: | Chapman and Hall mathematics
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XXX, 202 S. Ill., graph. Darst. |
| ISBN: | 0412345404 0412345501 |
Internformat
MARC
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| 245 | 1 | 0 | |a Galois theory |
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| 300 | |a XXX, 202 S. |b Ill., graph. Darst. | ||
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| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Chapman and Hall mathematics | |
| 650 | 4 | |a Galois, Théorie de | |
| 650 | 7 | |a Galois, théorie de |2 ram | |
| 650 | 4 | |a Galois theory | |
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Datensatz im Suchindex
| _version_ | 1804117957334269952 |
|---|---|
| adam_text | Contents
Illustration acknowledgements vi
Preface to the first edition vii
Preface to the second edition ix
Notes to the reader xi
Historical introduction xiii
The life of Galois xvii
Overview xxv
1 Background 1
2 Factorization of polynomials 16
3 Field extensions 29
4 The degree of an extension 44
5 Ruler and compasses 51
6 Transcendental numbers 61
7 The idea behind Galois theory VI
8 Normality and separability ( VV )V ¦_ _ :v A 77
9 Field degrees and group orders 89
10 Monomorphisms, automorphisms, and normal closures 96
11 The Galois correspondence ,... . 104
12 A specific example 108
13 Soluble and simple groups 114
14 Solution of equations by radicals 127
15 The general polynomial equation 139
16 Finite fields 155
17 Regular polygons 162
18 Calculating Galois groups 177
19 The fundamental theorem of algebra 185
Selected solutions 190
References 194
Symbol Index 197
Index 199
|
| any_adam_object | 1 |
| author | Stewart, Ian 1945- |
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| bvnumber | BV003607144 |
| callnumber-first | Q - Science |
| callnumber-label | QA214 |
| callnumber-raw | QA214 |
| callnumber-search | QA214 |
| callnumber-sort | QA 3214 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 200 SK 230 |
| classification_tum | MAT 124f |
| ctrlnum | (OCoLC)611416476 (DE-599)BVBBV003607144 |
| dewey-full | 512/.3 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.3 |
| dewey-search | 512/.3 |
| dewey-sort | 3512 13 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 2. ed. |
| format | Book |
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| id | DE-604.BV003607144 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T16:02:39Z |
| institution | BVB |
| isbn | 0412345404 0412345501 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002297158 |
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| physical | XXX, 202 S. Ill., graph. Darst. |
| publishDate | 1989 |
| publishDateSearch | 1989 |
| publishDateSort | 1989 |
| publisher | Chapman and Hall |
| record_format | marc |
| series2 | Chapman and Hall mathematics |
| spelling | Stewart, Ian 1945- Verfasser (DE-588)124091598 aut Galois theory 2. ed. London Chapman and Hall 1989 XXX, 202 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Chapman and Hall mathematics Galois, Théorie de Galois, théorie de ram Algebraische Gleichung (DE-588)4001162-8 gnd rswk-swf Galois-Theorie (DE-588)4155901-0 gnd rswk-swf Galois-Theorie (DE-588)4155901-0 s DE-604 Algebraische Gleichung (DE-588)4001162-8 s 1\p DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002297158&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 | Stewart, Ian 1945- Galois theory Galois, Théorie de Galois, théorie de ram Galois theory Algebraische Gleichung (DE-588)4001162-8 gnd Galois-Theorie (DE-588)4155901-0 gnd |
| subject_GND | (DE-588)4001162-8 (DE-588)4155901-0 |
| title | Galois theory |
| title_auth | Galois theory |
| title_exact_search | Galois theory |
| title_full | Galois theory |
| title_fullStr | Galois theory |
| title_full_unstemmed | Galois theory |
| title_short | Galois theory |
| title_sort | galois theory |
| topic | Galois, Théorie de Galois, théorie de ram Galois theory Algebraische Gleichung (DE-588)4001162-8 gnd Galois-Theorie (DE-588)4155901-0 gnd |
| topic_facet | Galois, Théorie de Galois, théorie de Galois theory Algebraische Gleichung Galois-Theorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002297158&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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