000 03208nam a22004335i 4500
001 978-3-0346-0643-1
003 DE-He213
005 20140220084518.0
007 cr nn 008mamaa
008 100927s2010 sz | s |||| 0|eng d
020 _a9783034606431
_9978-3-0346-0643-1
024 7 _a10.1007/978-3-0346-0643-1
_2doi
050 4 _aQA21-27
072 7 _aPBX
_2bicssc
072 7 _aMAT015000
_2bisacsh
082 0 4 _a510.9
_223
100 1 _aMeskens, Ad.
_eauthor.
245 1 0 _aTravelling Mathematics - The Fate of Diophantos' Arithmetic
_h[electronic resource] /
_cby Ad Meskens.
264 1 _aBasel :
_bSpringer Basel,
_c2010.
300 _aX, 210 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aScience Networks. Historical Studies ;
_v41
505 0 _aArithmetic and the beginnings 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.
520 _aIn 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.
650 0 _aMathematics.
650 0 _aMathematics_$xHistory.
650 1 4 _aMathematics.
650 2 4 _aHistory of Mathematics.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783034606424
830 0 _aScience Networks. Historical Studies ;
_v41
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-0346-0643-1
912 _aZDB-2-SMA
999 _c111126
_d111126