Les Arithmétiques de Diophante: lecture historique et mathématique
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | French |
| Veröffentlicht: |
Berlin
De Gruyter
2013
|
| Schriftenreihe: | Scientia Graeco-Arabica
v. 11 |
| Schlagworte: | |
| Online-Zugang: | FAW01 FAW02 |
| Beschreibung: | 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 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 |
| Beschreibung: | 640 pages |
| ISBN: | 9783110336481 3110336480 |
Internformat
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| 500 | |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 | ||
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Datensatz im Suchindex
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| author | Rāshid, Rushdī |
| author_facet | Rāshid, Rushdī |
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| author_sort | Rāshid, Rushdī |
| author_variant | r r rr |
| building | Verbundindex |
| bvnumber | BV043777463 |
| collection | ZDB-4-EBA |
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| 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 |
| format | Electronic eBook |
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| id | DE-604.BV043777463 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:34:50Z |
| institution | BVB |
| isbn | 9783110336481 3110336480 |
| language | French |
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| series2 | Scientia Graeco-Arabica |
| spelling | Rāshid, Rushdī Verfasser aut Les Arithmétiques de Diophante lecture historique et mathématique par Roshdi Rashed et Christian Houzel Berlin De Gruyter 2013 640 pages txt rdacontent c rdamedia cr rdacarrier Scientia Graeco-Arabica v. 11 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 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 Diophantus / of Alexandria fast Diophantus of Alexandria Diophantus Alexandrinus ca. 3. Jh. Arithmetica (DE-588)7724733-4 gnd rswk-swf Diophantus, of Alexandria Mathematics, Ancient / Greece Mathematics, Greek MATHEMATICS / Essays bisacsh MATHEMATICS / Pre-Calculus bisacsh MATHEMATICS / Reference bisacsh Mathematics, Ancient fast Mathematics, Greek fast Mathematics, Ancient Greece Griechenland Diophantus Alexandrinus ca. 3. Jh. Arithmetica (DE-588)7724733-4 u 1\p DE-604 Houzel, Christian Sonstige oth 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Rāshid, Rushdī Les Arithmétiques de Diophante lecture historique et mathématique Diophantus / of Alexandria fast Diophantus of Alexandria Diophantus Alexandrinus ca. 3. Jh. Arithmetica (DE-588)7724733-4 gnd Diophantus, of Alexandria Mathematics, Ancient / Greece Mathematics, Greek MATHEMATICS / Essays bisacsh MATHEMATICS / Pre-Calculus bisacsh MATHEMATICS / Reference bisacsh Mathematics, Ancient fast Mathematics, Greek fast Mathematics, Ancient Greece |
| 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 / of Alexandria fast Diophantus of Alexandria Diophantus Alexandrinus ca. 3. Jh. Arithmetica (DE-588)7724733-4 gnd Diophantus, of Alexandria Mathematics, Ancient / Greece Mathematics, Greek MATHEMATICS / Essays bisacsh MATHEMATICS / Pre-Calculus bisacsh MATHEMATICS / Reference bisacsh Mathematics, Ancient fast Mathematics, Greek fast Mathematics, Ancient Greece |
| topic_facet | Diophantus / of Alexandria Diophantus of Alexandria Diophantus Alexandrinus ca. 3. Jh. Arithmetica Diophantus, of Alexandria Mathematics, Ancient / Greece Mathematics, Greek MATHEMATICS / Essays MATHEMATICS / Pre-Calculus MATHEMATICS / Reference Mathematics, Ancient Mathematics, Ancient Greece Griechenland |
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