Les Arithmétiques de Diophante : lecture historique et mathématique / par Roshdi Rashed et Christian Houzel.

By:

Rāshid, Rushdī [author.]

Contributor(s):

Houzel, Christian [author.]

Material type: Text

TextSeries: Scientia Graeco-Arabica ; v. 11.Publication details: Berlin : De Gruyter, 2013.Description: 1 online resource (640 pages)Content type:

text

Media type:

computer

Carrier type:

online resource

ISBN:

9783110336481
3110336480

Subject(s):

Genre/Form:

Additional physical formats: Print version:: Arithmetiques de Diophante.DDC classification:

510.938

LOC classification:

QA22 .R34 2013

Online resources:

Click here to access online

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.

Summary: 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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Electronic-Books	OPJGU Sonepat- Campus	E-Books EBSCO			Available

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.