Les Arithmétiques de Diophante: lecture historique et mathématique
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | French |
| Published: |
Berlin
De Gruyter
2013
|
| Series: | Scientia Graeco-Arabica
11 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 629 S. 240 mm x 170 mm |
| ISBN: | 9783110335934 311033593X |
Staff View
MARC
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Record in the Search Index
| _version_ | 1804150520174084096 |
|---|---|
| adam_text | SOMMAIRE
PREFACE V
INTRODUCTION : LES ARITHMETIQUES DE DIOPHANTE 1
1. LES MATHEMATIQUES DE DIOPHANTE 8
2. LE PROJET DE DIOPHANTE 20
3. DIOPHANTE ET EUCLIDE 31
4. DEUX LECTURES DES ARITHMETIQUES : ALGEBRIQUE ET GEOMETRIQUE 34
CHAPITRE I : LA METHODE DE LA CORDE
1. LE VOCABULAIRE DE LA GEOMETRIE ALGEBRIQUE 47
2. MULTIPLICITE D INTERSECTION 74
3. LA METHODE DE LA CORDE 83
4. EQUATIONS QUASI-HOMOGENES 102
5. LA METHODE DE LA CORDE POUR LA COURBE DE GENRE 1 106
6. LA DOUBLE EQUATION DU SECOND DEGRE 115
CHAPITRE II : LES METHODES DE DIOPHANTE
1. PROBLEMES DETERMINES ET PROBLEMES INDETERMINES 121
2. ELIMINATION 124
3. LA METHODE DE LA CORDE 125
4. EXTENSION DE LA METHODE DE LA CORDE AUX DEGRES SUPERIEURS * 127
5. IDENTITES REMARQUABLES , 132
6. DOUBLE EQUATION 136
7. HOMOGENEITE ET TRIANGLES RECTANGLES NUMERIQUES 140
8. INEGALITES ET RECHERCHE D APPROXIMATIONS 143
9. ENCHAINEMENTS 148
CHAPITRE III : COMMENTAIRE MATHEMATIQUE DES ARITHMETIQUES
LIVRE I 155
LIVRE II 179
LIVRE III 219
LIVRE 4 265
LIVRE 5 301
LIVRE 6 317
LIVRE 7 343
LIVRE IV 369
LIVRE V 445
LIVRE VI 527
APPENDICE : LA CONNAISSANCE DE DIOPHANTE DANS L ANTIQUITE 595
INDEX 607
OUVRAGES CITES 621
HTTP://D-NB.INFO/1036474887
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| author | Rashed, Roshdi 1936- Houzel, Christian 1937- |
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| author_role | aut aut |
| author_sort | Rashed, Roshdi 1936- |
| author_variant | r r rr c h ch |
| building | Verbundindex |
| bvnumber | BV041128135 |
| classification_rvk | SG 600 |
| ctrlnum | (gbd)1051460-02 (OCoLC)862797198 (DE-599)DNB1036474887 |
| dewey-full | 510.938 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510.938 |
| dewey-search | 510.938 |
| dewey-sort | 3510.938 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik Geschichte |
| format | Book |
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| id | DE-604.BV041128135 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T00:40:13Z |
| institution | BVB |
| isbn | 9783110335934 311033593X |
| language | French |
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| physical | 629 S. 240 mm x 170 mm |
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| publishDate | 2013 |
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| publisher | De Gruyter |
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| series | Scientia Graeco-Arabica |
| series2 | Scientia Graeco-Arabica |
| spelling | Rashed, Roshdi 1936- Verfasser (DE-588)120250446 aut Les Arithmétiques de Diophante lecture historique et mathématique par Roshdi Rashed et Christian Houzel Berlin De Gruyter 2013 629 S. 240 mm x 170 mm txt rdacontent n rdamedia nc rdacarrier Scientia Graeco-Arabica 11 Diophantus Alexandrinus ca. 3. Jh. Arithmetica (DE-588)7724733-4 gnd rswk-swf Diophantus math. Alexandrinus TLG 2039 (DE-2581)TH000001003 gbd Mathematik der Antike (DE-2581)TH000007621 gbd Diophantus Alexandrinus ca. 3. Jh. Arithmetica (DE-588)7724733-4 u DE-604 Houzel, Christian 1937- Verfasser (DE-588)1058725467 aut Erscheint auch als Online-Ausgabe (DE-604)BV042349520 Scientia Graeco-Arabica 11 (DE-604)BV035089036 11 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026104016&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Rashed, Roshdi 1936- Houzel, Christian 1937- Les Arithmétiques de Diophante lecture historique et mathématique Scientia Graeco-Arabica Diophantus Alexandrinus ca. 3. Jh. Arithmetica (DE-588)7724733-4 gnd |
| subject_GND | (DE-588)7724733-4 |
| title | Les Arithmétiques de Diophante lecture historique et mathématique |
| title_auth | Les Arithmétiques de Diophante lecture historique et mathématique |
| title_exact_search | Les Arithmétiques de Diophante lecture historique et mathématique |
| title_full | Les Arithmétiques de Diophante lecture historique et mathématique par Roshdi Rashed et Christian Houzel |
| title_fullStr | Les Arithmétiques de Diophante lecture historique et mathématique par Roshdi Rashed et Christian Houzel |
| title_full_unstemmed | Les Arithmétiques de Diophante lecture historique et mathématique par Roshdi Rashed et Christian Houzel |
| title_short | Les Arithmétiques de Diophante |
| title_sort | les arithmetiques de diophante lecture historique et mathematique |
| title_sub | lecture historique et mathématique |
| topic | Diophantus Alexandrinus ca. 3. Jh. Arithmetica (DE-588)7724733-4 gnd |
| topic_facet | Diophantus Alexandrinus ca. 3. Jh. Arithmetica |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026104016&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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