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...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | French |
| Veröffentlicht: |
Berlin :
De Gruyter,
2013.
|
| Schriftenreihe: | Scientia Graeco-Arabica ;
v. 11. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | 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: | 1 online resource (640 pages) |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9783110336481 3110336480 |
| ISSN: | 2365-8703 ; |
Internformat
MARC
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| 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. | ||
| 600 | 0 | 0 | |a Diophantus, |c of Alexandria. |0 http://id.loc.gov/authorities/names/n82149799 |
| 600 | 0 | 7 | |a Diophantus, |c of Alexandria |2 fast |
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| 653 | |a Ancient arithmetics. | ||
| 653 | |a Diophantus of Alexandria. | ||
| 653 | |a diophantine analysis. | ||
| 653 | |a history of mathematics. | ||
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Datensatz im Suchindex
| DE-BY-FWS_katkey | ZDB-4-EBA-ocn865329791 |
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| _version_ | 1816882253228146688 |
| adam_text | |
| any_adam_object | |
| author | Rāshid, Rushdī Houzel, Christian |
| author_GND | http://id.loc.gov/authorities/names/n82234891 http://id.loc.gov/authorities/names/n89642662 |
| author_facet | Rāshid, Rushdī Houzel, Christian |
| author_role | aut aut |
| author_sort | Rāshid, Rushdī |
| author_variant | r r rr c h ch |
| building | Verbundindex |
| bvnumber | localFWS |
| callnumber-first | Q - Science |
| callnumber-label | QA22 |
| callnumber-raw | QA22 .R34 2013 |
| callnumber-search | QA22 .R34 2013 |
| callnumber-sort | QA 222 R34 42013 |
| callnumber-subject | QA - Mathematics |
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| contents | 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. 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. |
| ctrlnum | (OCoLC)865329791 |
| 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 | ZDB-4-EBA-ocn865329791 |
| illustrated | Not Illustrated |
| indexdate | 2024-11-27T13:25:40Z |
| institution | BVB |
| isbn | 9783110336481 3110336480 |
| issn | 2365-8703 ; |
| language | French |
| oclc_num | 865329791 |
| open_access_boolean | |
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| physical | 1 online resource (640 pages) |
| psigel | ZDB-4-EBA |
| publishDate | 2013 |
| publishDateSearch | 2013 |
| publishDateSort | 2013 |
| publisher | De Gruyter, |
| record_format | marc |
| series | Scientia Graeco-Arabica ; |
| series2 | Scientia Graeco-Arabica, |
| spelling | Rāshid, Rushdī, author. http://id.loc.gov/authorities/names/n82234891 Les Arithmétiques de Diophante : lecture historique et mathématique / par Roshdi Rashed et Christian Houzel. Berlin : De Gruyter, 2013. ©2013 1 online resource (640 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier Scientia Graeco-Arabica, 2365-8703 ; Band 11 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. 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. Print version record. Includes bibliographical references and index. French. Diophantus, of Alexandria. http://id.loc.gov/authorities/names/n82149799 Diophantus, of Alexandria fast Mathematics, Greek. http://id.loc.gov/authorities/subjects/sh85082177 Mathematics, Ancient Greece. Mathématiques grecques. Mathématiques anciennes Grèce. MATHEMATICS Essays. bisacsh MATHEMATICS Pre-Calculus. bisacsh MATHEMATICS Reference. bisacsh Mathematics, Ancient fast Mathematics, Greek fast Greece fast https://id.oclc.org/worldcat/entity/E39PBJxd6hw8HtWYq9JY6hjjYP Ancient arithmetics. Diophantus of Alexandria. diophantine analysis. history of mathematics. Electronic book. Houzel, Christian, author. http://id.loc.gov/authorities/names/n89642662 Print version: Rāshid, Rushdī. Arithmetiques de Diophante. Berlin ; Boston : De Gruyter, [2013] 9783110335934 (DLC) 2013043508 (OCoLC)860754326 Scientia Graeco-Arabica ; v. 11. 2365-8703 http://id.loc.gov/authorities/names/no2008073599 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=674419 Volltext |
| spellingShingle | Rāshid, Rushdī Houzel, Christian Les Arithmétiques de Diophante : lecture historique et mathématique / Scientia Graeco-Arabica ; 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. 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. Diophantus, of Alexandria. http://id.loc.gov/authorities/names/n82149799 Diophantus, of Alexandria fast Mathematics, Greek. http://id.loc.gov/authorities/subjects/sh85082177 Mathematics, Ancient Greece. Mathématiques grecques. Mathématiques anciennes Grèce. MATHEMATICS Essays. bisacsh MATHEMATICS Pre-Calculus. bisacsh MATHEMATICS Reference. bisacsh Mathematics, Ancient fast Mathematics, Greek fast |
| subject_GND | http://id.loc.gov/authorities/names/n82149799 http://id.loc.gov/authorities/subjects/sh85082177 |
| 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 | arithmetiques de diophante lecture historique et mathematique |
| title_sub | lecture historique et mathématique / |
| topic | Diophantus, of Alexandria. http://id.loc.gov/authorities/names/n82149799 Diophantus, of Alexandria fast Mathematics, Greek. http://id.loc.gov/authorities/subjects/sh85082177 Mathematics, Ancient Greece. Mathématiques grecques. Mathématiques anciennes Grèce. MATHEMATICS Essays. bisacsh MATHEMATICS Pre-Calculus. bisacsh MATHEMATICS Reference. bisacsh Mathematics, Ancient fast Mathematics, Greek fast |
| topic_facet | Diophantus, of Alexandria. Diophantus, of Alexandria Mathematics, Greek. Mathematics, Ancient Greece. Mathématiques grecques. Mathématiques anciennes Grèce. MATHEMATICS Essays. MATHEMATICS Pre-Calculus. MATHEMATICS Reference. Mathematics, Ancient Mathematics, Greek Greece Electronic book. |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=674419 |
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