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Cette édition numérique a été réalisée à partir d'un support physique, parfois ancien, conservé au sein du dépôt légal de la Bibliothèque nationale de France, conformément à la loi n° 2012-287 du 1er mars 2012 relative à l'exploitation des Livres indisponibles du XXe siècle.
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This is the first study of the history of Diophantine analysis and the theory of numbers from Ab? K?mil to Fermat (9th-17th century). It thus offers an elaborate and detailed overview on a fundamental chapter on classical mathematical thought and its relation to algebra and Diophantus' Arithmetica.
Diophantine analysis. --- Ancient arithmetics. --- Diophantus of Alexandria. --- diophantine analysis. --- history of mathematics.
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Book VI of the Konika is essentially devoted to the question of the identity and similarity of two conic sections, or two parts of conic sections. In Book VII Apollonius deals with the various relationships between the lengths of diameters and conjugate diameters. The results are applied to the exposition of a number of problems, as well as to some problems which Apollonius indicates will be demonstrated and solved in Book VIII, which was lost in Antiquity. Books VI and VII have only survived in an Arabic translation, and are presented here in a critical edition, together with a faithful trans
Mathematics, Greek --- Conic sections --- Apollonius, of Perga. --- Apollonius of Perge. --- Conic Section. --- Mathematics/in Antiquity.
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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.
Diophante, --- Mathematics, Ancient --- Mathematics, Greek --- Greek mathematics --- Geometry --- Ancient mathematics --- Diophantus, --- Alexandria, Diophantus of --- Diofant, --- Diophantos, --- Diyūfanṭus, --- Διοφαντός, --- Mathematics, Greek. --- Diophante --- Diophantes Alexandrinus --- Diophantus --- Diophantos van Alexandrië --- Ancient arithmetics. --- Diophantus of Alexandria. --- diophantine analysis. --- history of mathematics.
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Social sciences --- Sciences sociales --- Statistical methods --- Méthodes statistiques --- -Behavioral sciences --- Human sciences --- Sciences, Social --- Social science --- Social studies --- Civilization --- -Statistical methods --- Méthodes statistiques --- Humanities --- Mathematics --- Sciences humaines --- Mathématiques --- Mathématiques. --- Humanities. --- Mathematics. --- Mathématiques --- Social sciences - Statistical methods --- de Condorcet --- Histoire des sciences --- Histoire des probabilites --- Condorcet (jean antoine nicolas caritat de), 1743-1794 --- Document --- Pensee politique et sociale
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Hommage de l'auteur
Mathematics --- Number theory --- History --- Numerals --- Mathematics, Indic --- History.
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Volume 2.3, containing the Greek translations of books II-IV, completes the edition of the Conica of Apollonius of Perga. It is arranged according to the same principle as the previous volume on book I: the critical edition of the Greek text is accompanied by numerous notes and a lexicon of all mathematical terms. An introduction and a French translation provide further insights into the text. The edition of the Greek books of the Conica will be thematically complemented by volume 3 of the SGA series, containing the critical edition of Eutocius of Ascalon's commentary on the Conica and its Fre
Mathematics, Greek. --- Conic sections. --- Apollonius of Perge. --- Conic Section. --- Mathematics /in Antiquity.
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Algebra --- Mathematics --- History --- India --- History.
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