Further questions to the historiography of Arabic (but not only Arabic) mathematics from the perspective of Romance abbacus mathematics

Contribution to the "9ième Colloque Maghrébin sur l'Histoire des Mathématiques Arabes", Tipaza, 12-13-14 mai 2007

Publikation: Working paperForskning

Resumé

Since some years I have been engaged in a close reading of early Italian abbacus books and related material from the Ibero-Provençal orbit and in comparison of this material with Arabic mathematical writings. At the 7th North African Meeting on the History of Arab Mathematics in Marrakesh in 2002 I presented the first outcome of this investigation: namely that early Italian abbacus algebra was not influenced by the Latin algebraic writings of the 12th-13th centuries (neither by the translations of al-Khwa¯rizmı¯ nor by the works of Fibonacci); instead, it received indirect inspiration from a so far unknown link to the Arabic world, viz to a level of Arabic algebra (probably integrated with mu a¯mala¯t mathematics) of which very little is known. At the 8th Meeting in Tunis in 2004 mathematics) of which very little is known.

At the 8th Meeting in Tunis in 2004 I presented a list of linguistic clues which, if applied to Arabic material, might enable us to say more about the links between the Romance abbacus tradition and Arabic mu a¯mala¯t  teaching.

Here I investigate a number of problem types and techniques which turn up in some but not necessarily in all of the following source types:

- Romance abbacus writings,

- Byzantine writings of abbacus type,

- Arabic mathematical writings of various kinds,

- Sanskrit mathematical writings,

in order to display the intricacies of the links between these - intricacies which force us to become aware of the shortcomings of our current knowledge, and hence formulate questions that go beyond the answers I shall be able to present.

OriginalsprogEngelsk
Antal sider23
StatusUdgivet - 2007

Citer dette

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title = "Further questions to the historiography of Arabic (but not only Arabic) mathematics from the perspective of Romance abbacus mathematics: Contribution to the {"}9i{\`e}me Colloque Maghr{\'e}bin sur l'Histoire des Math{\'e}matiques Arabes{"}, Tipaza, 12-13-14 mai 2007",
abstract = "Since some years I have been engaged in a close reading of early Italian abbacus books and related material from the Ibero-Proven{\cc}al orbit and in comparison of this material with Arabic mathematical writings. At the 7th North African Meeting on the History of Arab Mathematics in Marrakesh in 2002 I presented the first outcome of this investigation: namely that early Italian abbacus algebra was not influenced by the Latin algebraic writings of the 12th-13th centuries (neither by the translations of al-Khwa¯rizmı¯ nor by the works of Fibonacci); instead, it received indirect inspiration from a so far unknown link to the Arabic world, viz to a level of Arabic algebra (probably integrated with mu a¯mala¯t mathematics) of which very little is known. At the 8th Meeting in Tunis in 2004 mathematics) of which very little is known. At the 8th Meeting in Tunis in 2004 I presented a list of linguistic clues which, if applied to Arabic material, might enable us to say more about the links between the Romance abbacus tradition and Arabic mu a¯mala¯t  teaching.Here I investigate a number of problem types and techniques which turn up in some but not necessarily in all of the following source types:- Romance abbacus writings,- Byzantine writings of abbacus type,- Arabic mathematical writings of various kinds,- Sanskrit mathematical writings,in order to display the intricacies of the links between these - intricacies which force us to become aware of the shortcomings of our current knowledge, and hence formulate questions that go beyond the answers I shall be able to present.",
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