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ISBN: 9783110335934 9783110336481 9783110336481 9783110336498 3110336480 311033593X Year: 2013 Volume: 11 Publisher: Berlin ; New York Walter de Gruyter
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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.
Book
ISBN: 9783034606424 9783034606431 9783034803144 9783034606448 Year: 2010 Publisher: Basel Springer Basel
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In this book the author presents a comprehensive study of Diophantos' monumental work known as Arithmetika, a highly acclaimed and unique set of books within the known Greek mathematical corpus. Its author, Diophantos, is an enigmatic figure of whom we know virtually nothing. Starting with Egyptian, Babylonian and early Greek mathematics the author paints a picture of the sources the Arithmetika may have had. Life in Alexandria, where Diophantos lived, is described and, on the basis of the limited available evidence, his biography is outlined. Of Arithmetika's 13 books only 6 survive in Greek. It was not until 1971 that these were complemented by the discovery of 4 other books in an Arab translation. This allows the author to describe the structure, the contents and the mathematics of the Arithmetika in detail. Furthermore it is shown that Diophantos had a remarkable skill to solve higher degree equations. In the second part, the author draws our attention to the survival of Diophantos' work in both Arab and European mathematical cultures. Once Xylander's critical 1575 edition reached its European public, the fame of the Arithmetika grew. It was studied, translated and modified by such authors as Bombelli, Stevin and Viète. It reached its pinnacle of fame in 1621 with the publication of Bachet's translation into Latin. The marginal notes by Fermat in his copy of Diophantos, including his famous Last Theorem , were the starting point of a whole new research subject: the theory of numbers.
Number theory --- Algebra --- wetenschapsgeschiedenis --- wiskunde --- Griekse oudheid --- Diophantus Alexandrinus --- Arithmetic --- 378.4 --- 378.4 Universiteiten --- Universiteiten --- History --- Diophantus, --- Alexandria, Diophantus of --- Diofant, --- Diophante, --- Diophantos, --- Diyūfanṭus, --- Διοφαντός, --- Influence. --- Diophantes Alexandrinus --- Diophantus --- Diophantos van Alexandrië
Book
ISBN: 3110959569 9783110959567 9783598712937 3598712936 Year: 2011 Publisher: Berlin New York De Gruyter
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Opera Omnia cum graecis commentariis, vol. II (Bibliotheca scriptorum Graecorum et Romanorum Teubneriana).
Mathematics, Greek. --- Arithmetic. --- Mathematics --- Set theory --- Calculators --- Numbers, Real --- Greek mathematics --- Geometry --- Diophantus, --- Alexandria, Diophantus of --- Diofant, --- Diophante, --- Diophantos, --- Diyūfanṭus, --- Διοφαντός, --- Criticism and interpretation. --- Diophantes Alexandrinus --- Diophantus --- Diophantos van Alexandrië
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