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Travelling Mathematics - The Fate of Diophantos' Arithmetic
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Catalogue Information
Field name
Details
Dewey Class
510.9
Title
Travelling Mathematics - The Fate of Diophantos' Arithmetic ([Ebook]) / by Ad Meskens.
Author
Meskens, Ad
Other name(s)
SpringerLink (Online service)
Publication
Basel : Springer , 2010.
Physical Details
X, 210 pages : online resource.
Series
Science Networks. Historical Studies
; 41
ISBN
9783034606431
Summary Note
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.:
Contents note
From the contents: Arithmetic and the beginning of algebra -- Alexandria ad Aegyptum -- Diophantos and the Arithmetika -- Sleeping beauty in the Dark Ages -- New vistas -- Humanism -- Renaissance or the rebirth of Diophantos -- Fair stood the wind for France -- Coda: Hilbert's tenth problem -- Stemma -- Bibliography -- Index.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site
http://dx.doi.org/10.1007/978-3-0346-0643-1
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Subject References:
History of mathematics
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Mathematics
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Mathematics - History
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Authors:
Meskens, Ad
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Corporate Authors:
SpringerLink (Online service)
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Series:
Science Networks. Historical Studies
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Classification:
510.9
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510.9 (DDC 23)
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