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Les Arithmétiques de Diophante : lecture historique et mathématique /
Until recently, only six of thirteen books comprising Diophantus' Arithmetica were known to us. Four other books in an Arabic translation have been discovered recently. We can now understand the organization of this work and its long-lasting impact on mathematics. The present book offers the fi...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Formato: | Electrónico eBook |
| Idioma: | Francés |
| Publicado: |
Berlin :
De Gruyter,
2013.
|
| Colección: | Scientia Graeco-Arabica ;
v. 11. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Rāshid, Rushdī, |e author. | |
| 245 | 1 | 4 | |a Les Arithmétiques de Diophante : |b lecture historique et mathématique / |c par Roshdi Rashed et Christian Houzel. |
| 264 | 1 | |a Berlin : |b De Gruyter, |c 2013. | |
| 264 | 4 | |c ©2013 | |
| 300 | |a 1 online resource (640 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
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| 490 | 1 | |a Scientia Graeco-Arabica, |x 2365-8703 ; |v Band 11 | |
| 505 | 8 | |a 3. La méthode " de la corde "4. Extension de la méthode de la corde aux degrés supérieurs; 5. Identités remarquables; 6. Double équation; 7. Homogénéité et triangles rectangles numériques; 8. Inégalités et recherche d'approximations; 9. Enchaînements; CHAPITRE III : COMMENTAIRE MATHÉMATIQUE DES ARITHMÉTIQUES; Livre I; Livre II; Livre III; Livre 4; Livre 5; Livre 6; Livre 7; Livre IV; Livre V; Livre VI; APPENDICE : La connaissance de Diophante dans l'Antiquité; INDEX; OUVRAGES CITÉS. | |
| 505 | 0 | |a Préface; INTRODUCTION : LES ARITHMÉTIQUES DE DIOPHANTE; 1. Les mathématiques de Diophante; 2. Le projet de Diophante; 3. Diophante et Euclide; 4. Deux lectures des Arithmétiques : algébrique et géométrique; CHAPITRE I : LA MÉTHODE DE LA CORDE; 1. Le vocabulaire de la géométrie algébrique; 2. Multiplicité d'intersection; 3. La méthode de la corde; 4. Equations quasi-homogènes; 5. La méthode de la corde pour la courbe de genre 1; 6. La double équation du second degré; CHAPITRE II : LES MÉTHODES DE DIOPHANTE; 1. Problèmes déterminés et problèmes indéterminés; 2. Élimination. | |
| 520 | |a Until recently, only six of thirteen books comprising Diophantus' Arithmetica were known to us. Four other books in an Arabic translation have been discovered recently. We can now understand the organization of this work and its long-lasting impact on mathematics. The present book offers the first historical and mathematical study of the work as it has survived in ten books. | ||
| 588 | 0 | |a Print version record. | |
| 504 | |a Includes bibliographical references and index. | ||
| 546 | |a French. | ||
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 600 | 0 | 0 | |a Diophantus, |c of Alexandria. |
| 600 | 0 | 7 | |a Diophantus, |c of Alexandria |2 fast |
| 650 | 0 | |a Mathematics, Greek. | |
| 650 | 0 | |a Mathematics, Ancient |z Greece. | |
| 650 | 6 | |a Mathématiques grecques. | |
| 650 | 6 | |a Mathématiques anciennes |z Grèce. | |
| 650 | 7 | |a MATHEMATICS |x Essays. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Pre-Calculus. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Reference. |2 bisacsh | |
| 650 | 7 | |a Mathematics, Ancient |2 fast | |
| 650 | 7 | |a Mathematics, Greek |2 fast | |
| 651 | 7 | |a Greece |2 fast |1 https://id.oclc.org/worldcat/entity/E39PBJxd6hw8HtWYq9JY6hjjYP | |
| 653 | |a Ancient arithmetics. | ||
| 653 | |a Diophantus of Alexandria. | ||
| 653 | |a diophantine analysis. | ||
| 653 | |a history of mathematics. | ||
| 700 | 1 | |a Houzel, Christian, |e author. | |
| 758 | |i has work: |a Les Arithmétiques de Diophante (Text) |1 https://id.oclc.org/worldcat/entity/E39PCFPdwYHYgg4K4yTwYCvXHP |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Rāshid, Rushdī. |t Arithmetiques de Diophante. |d Berlin ; Boston : De Gruyter, [2013] |z 9783110335934 |w (DLC) 2013043508 |w (OCoLC)860754326 |
| 830 | 0 | |a Scientia Graeco-Arabica ; |v v. 11. |x 2365-8703 | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=1249775 |z Texto completo |
| 938 | |a De Gruyter |b DEGR |n 9783110336481 | ||
| 938 | |a ProQuest Ebook Central |b EBLB |n EBL1249775 | ||
| 938 | |a EBSCOhost |b EBSC |n 674419 | ||
| 994 | |a 92 |b IZTAP | ||