Algèbre et analyse diophantienne: édition, traduction, commentaire
Gespeichert in:
1. Verfasser: | |
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Weitere Verfasser: | |
Format: | Buch |
Sprache: | French Arabic |
Veröffentlicht: |
Berlin
De Gruyter
2012
|
Schriftenreihe: | Scientia Graeco-Arabica
9 |
Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | Literaturangaben. - Teilw. in arab. Schr. |
Beschreibung: | XIV, 819 S. graph. Darst. 25 cm |
ISBN: | 9783110295610 |
Internformat
MARC
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245 | 1 | 0 | |a Algèbre et analyse diophantienne |b édition, traduction, commentaire |c Abū Kāmil. Roshdi Rashed |
264 | 1 | |a Berlin |b De Gruyter |c 2012 | |
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Datensatz im Suchindex
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adam_text | IMAGE 1
SOMMAIRE
PREFACE V
AVERTISSEMENT XV
INTRODUCTION
1. ABU KAMIL: ALGEBRISTE ET INGENIEUR 1
2. LES ECRITS MATHEMATIQUES D A B U KAMIL 7
2.1 . L ALGEBRE ET AL-MUQABALA 7
2.1.1. L E TEMOIGNAGE D AL-KARAJI 11
2.1.2. L E TEMOIGNAGE D AL-SAMAW AL 14
2.1.3. L A TRADUCTION LATINE 14
2.1.4. L A LECTURE DE FIBONACCI 17
2.1.5. L A TRADUCTION HEBRAIQUE 26
2.2. SUR LES VOLATILES 27
2.3. LA MENSURATION DES TERRAINS 30
PREMIERE PARTIE
CHAPITRE I : L A THEORIE DES EQUATIONS ET LA DEMONSTRATION DES
ALGORITHMES 35
CHAPITRE II : L E CALCUL ALGEBRIQUE ET SES APPLICATIONS 53
1. PROBLEMES DES SIX PREMIERS TYPES 55
2. PROBLEMES DIVERS 57
CHAPITRE III : L APPLICATION DE L ALGEBRE A LA GEOMETRIE PLANE : LES
PENTAGONES ET LES DECAGONES REGULIERS 113
CHAPITRE IV : L ANALYSE INDETERMINEE RATIONNELLE 145
1. INTRODUCTION 145
2. EQUATIONS ET SYSTEMES D EQUATIONS DU SECOND DEGRE 148
2.2. PROBLEMES 1 A 25 148
2.2. PROBLEMES 26 A 38 159
3. SYSTEMES D EQUATIONS INDETERMINEES DU PREMIER DEGRE : PROBLEMES 39 A
43 172
CHAPITRE V : PROBLEMES ARITHMETIQUES 183
1. PROBLEMES DIVERS 183
2. QUELQUES PROGRESSIONS ARITHMETIQUES ET GEOMETRIQUES 192
HTTP://D-NB.INFO/1022588494
IMAGE 2
XIV
SOMMAIRE
CHAPITRE V I : ANALYSE INDETERMINEE ENTIERE DU PREMIER DEGRE 197
CHAPITRE VII : L A DEMONSTRATION AUX COMMENCEMENTS DE L ALGEBRE 221
SECONDE PARTIE
TEXTES E T TRADUCTIONS
LIVRE D ALGEBRE ET D AL-MUQABALA 242
PREAMBULE 242
LES SIX EQUATIONS 246
LE CALCUL ALGEBRIQUE ET SES APPLICATIONS 280
MULTIPLICATION, ADDITION ET SOUSTRACTION DES TERMES 280
MULTIPLICATION ET DIVISION DES RACINES 298
ADDITION ET SOUSTRACTION DES RACINES 312
LES SIX PROBLEMES 320
CHAPITRE SUR DES PROBLEMES DIVERS 334
EQUATIONS A COEFFICIENTS IRRATIONNELS 414
LE PENTAGONE ET LE DECAGONE REGULIER 522
ANALYSE INDETERMINEE RATIONNELLE 578
EQUATIONS ET SYSTEMES D EQUATIONS DU SECOND DEGRE 578
SYSTEMES D EQUATIONS INDETERMINEES DU PREMIER DEGRE 654
PROBLEMES NUMERIQUES ET PROGRESSIONS 680
PROBLEMES NUMERIQUES DIVERS 680
SUR LES PROGRESSIONS ARITHMETIQUES ET GEOMETRIQUES 718
LIVRE SUR LES VOLATILES : ANALYSE INDETERMINEE ENTIERE DU PREMIER DEGRE
732
APPENDICE : EXTRAIT D AL-BAHIR EN ALGEBRE D AL-SAMAW AL 763
NOTES COMPLEMENTAIRES 769
GLOSSAIRE ARABE-FRANCAIS 775
INDEX INDEX DES NOMS PROPRES 805
INDEX DES CONCEPTS 807
INDEX DES TRAITES 811
INDEX DES MANUSCRITS 812
OUVRAGES CITES 813
|
any_adam_object | 1 |
author | Abū-Kāmil Šuǧāʿ Ibn-Aslam 850-930 |
author2 | Rashed, Roshdi 1936- |
author2_role | edt |
author2_variant | r r rr |
author_GND | (DE-588)102421463 (DE-588)120250446 |
author_facet | Abū-Kāmil Šuǧāʿ Ibn-Aslam 850-930 Rashed, Roshdi 1936- |
author_role | aut |
author_sort | Abū-Kāmil Šuǧāʿ Ibn-Aslam 850-930 |
author_variant | a k š i a akšia |
building | Verbundindex |
bvnumber | BV040445951 |
ctrlnum | (OCoLC)809372620 (DE-599)DNB1022588494 |
dewey-full | 512.009021 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 512 - Algebra |
dewey-raw | 512.009021 |
dewey-search | 512.009021 |
dewey-sort | 3512.009021 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
era | Geschichte 850-930 gnd |
era_facet | Geschichte 850-930 |
format | Book |
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genre_facet | Quelle |
id | DE-604.BV040445951 |
illustrated | Illustrated |
indexdate | 2024-07-10T00:24:05Z |
institution | BVB |
isbn | 9783110295610 |
language | French Arabic |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-025293691 |
oclc_num | 809372620 |
open_access_boolean | |
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owner_facet | DE-12 |
physical | XIV, 819 S. graph. Darst. 25 cm |
psigel | gbd_4_1309 |
publishDate | 2012 |
publishDateSearch | 2012 |
publishDateSort | 2012 |
publisher | De Gruyter |
record_format | marc |
series | Scientia Graeco-Arabica |
series2 | Scientia Graeco-Arabica |
spelling | Abū-Kāmil Šuǧāʿ Ibn-Aslam 850-930 Verfasser (DE-588)102421463 aut Algèbre et analyse diophantienne édition, traduction, commentaire Abū Kāmil. Roshdi Rashed Berlin De Gruyter 2012 XIV, 819 S. graph. Darst. 25 cm txt rdacontent n rdamedia nc rdacarrier Scientia Graeco-Arabica 9 Literaturangaben. - Teilw. in arab. Schr. Abū-Kāmil Šuǧāʿ Ibn-Aslam 850-930 (DE-588)102421463 gnd rswk-swf Geschichte 850-930 gnd rswk-swf Algebra (DE-588)4001156-2 gnd rswk-swf (DE-588)4135952-5 Quelle gnd-content Mathematik der Antike (DE-2581)TH000007621 gbd Algebra (DE-588)4001156-2 s Geschichte 850-930 z DE-604 Abū-Kāmil Šuǧāʿ Ibn-Aslam 850-930 (DE-588)102421463 p b DE-604 Rashed, Roshdi 1936- (DE-588)120250446 edt Erscheint auch als Online-Ausgabe 978-3-11-029566-5 (DE-604)BV042348779 Scientia Graeco-Arabica 9 (DE-604)BV035089036 9 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025293691&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Abū-Kāmil Šuǧāʿ Ibn-Aslam 850-930 Algèbre et analyse diophantienne édition, traduction, commentaire Scientia Graeco-Arabica Abū-Kāmil Šuǧāʿ Ibn-Aslam 850-930 (DE-588)102421463 gnd Algebra (DE-588)4001156-2 gnd |
subject_GND | (DE-588)102421463 (DE-588)4001156-2 (DE-588)4135952-5 |
title | Algèbre et analyse diophantienne édition, traduction, commentaire |
title_auth | Algèbre et analyse diophantienne édition, traduction, commentaire |
title_exact_search | Algèbre et analyse diophantienne édition, traduction, commentaire |
title_full | Algèbre et analyse diophantienne édition, traduction, commentaire Abū Kāmil. Roshdi Rashed |
title_fullStr | Algèbre et analyse diophantienne édition, traduction, commentaire Abū Kāmil. Roshdi Rashed |
title_full_unstemmed | Algèbre et analyse diophantienne édition, traduction, commentaire Abū Kāmil. Roshdi Rashed |
title_short | Algèbre et analyse diophantienne |
title_sort | algebre et analyse diophantienne edition traduction commentaire |
title_sub | édition, traduction, commentaire |
topic | Abū-Kāmil Šuǧāʿ Ibn-Aslam 850-930 (DE-588)102421463 gnd Algebra (DE-588)4001156-2 gnd |
topic_facet | Abū-Kāmil Šuǧāʿ Ibn-Aslam 850-930 Algebra Quelle |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025293691&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
volume_link | (DE-604)BV035089036 |
work_keys_str_mv | AT abukamilsugaʿibnaslam algebreetanalysediophantienneeditiontraductioncommentaire AT rashedroshdi algebreetanalysediophantienneeditiontraductioncommentaire |