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general_overview [2015/10/25 20:41] – [The content of the mathematical texts] gombert | general_overview [2016/04/11 21:16] (current) – gombert | ||
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It can be estimated to about 2000 the number ofmathematical tabletsknown to date, a large majority of which already published. The distribution of these sourcesaccording to time and spaceis extremely irregular, as shown by table 1 below. This table contains rough data, established with the help of the CDLI consulted September 13, 2015; note that most of the tablets from unknown or uncertain provenience according to the CDLI are very probably Old Babylonian. | It can be estimated to about 2000 the number ofmathematical tabletsknown to date, a large majority of which already published. The distribution of these sourcesaccording to time and spaceis extremely irregular, as shown by table 1 below. This table contains rough data, established with the help of the CDLI consulted September 13, 2015; note that most of the tablets from unknown or uncertain provenience according to the CDLI are very probably Old Babylonian. | ||
- | \\ | **Periods** | **Number of tablets** | **Provenience** | | + | \\ |
+ | ^ Periods | ||
| Early Dynastic / Old Akkadian (2500-2100) | 27 | Southern Mesopotamia | | | Early Dynastic / Old Akkadian (2500-2100) | 27 | Southern Mesopotamia | | ||
| Ur III (2100-2000) | 8 | Southern Mesopotamia | | | Ur III (2100-2000) | 8 | Southern Mesopotamia | | ||
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\\ Old Babylonian advanced mathematical texts were probably written by masters of the scribal schools. Most of them seem to treat concrete subjects (fields, canals, excavations, | \\ Old Babylonian advanced mathematical texts were probably written by masters of the scribal schools. Most of them seem to treat concrete subjects (fields, canals, excavations, | ||
- | \\ 14. I found a stone. Its weight I don’t know. 1/7 I subtracted, then 1/11 I added, | + | '' |
+ | '' | ||
+ | '' | ||
- | 15. then 1/13 I subtracted. I weighed: 1 //mana//. The initial weight how much? | + | \\ The mathematical texts generally include compendia of problems provided with a detailed solution ([[http:// |
- | + | ||
- | 16. The initial weight 1 //mana// 9 1/2 //gin// 2 1/2 //še//. | + | |
- | + | ||
- | \\ The mathematical texts generally include compendia of problems provided with a detailed solution ([[http:// | + | |
\\ Mathematical texts of Achaemenid period include metrological tables and procedure texts focused on the calculation of surfaces using different metrological systems. Hellenistic mathematical texts show a strong interest for the very large sexagesimal regular numbers and the calculation of reciprocals. Procedure texts witness the encyclopedic mathematical knowledge of the //kalû// of the temples of Uruk and Babylon. Another facet of mathematical practices in the Hellenistic period can be discovered in astronomical texts, as shown by Mathieu Ossendrijver (// | \\ Mathematical texts of Achaemenid period include metrological tables and procedure texts focused on the calculation of surfaces using different metrological systems. Hellenistic mathematical texts show a strong interest for the very large sexagesimal regular numbers and the calculation of reciprocals. Procedure texts witness the encyclopedic mathematical knowledge of the //kalû// of the temples of Uruk and Babylon. Another facet of mathematical practices in the Hellenistic period can be discovered in astronomical texts, as shown by Mathieu Ossendrijver (// | ||
- | ===== Bibliography ===== | ||
- | |||
- | A tentative complete bibliography by Duncan Melville is available here: [[http:// | ||
- | |||
- | \\ A basic tool indispensable for any people interested by the subject is Friberg' | ||
- | |||
- | \\ * Bruins, Evert M. and Marguerite Rutten. 1961. //Textes mathématiques de Suse//. Paris: Geuthner. | ||
- | * Damerow, Peter (2001) " | ||
- | * Englund, Robert K. (1988) " | ||
- | * Englund, Robert K. and Jean-Pierre Grégoire (1991) The Proto-Cuneiform Texts from Jemdet Nasr (MSVO 1), Berlin. | ||
- | * Friberg, Jöran (1978) "Early Roots of Babylonian Mathematics 1. A method for the decipherment … of proto- Sumerian and proto-Elamite semi-pictographic inscriptions" | ||
- | * Friberg, Jöran (1990) " | ||
- | * Friberg, Jöran. 2000. Mathematics at Ur in the Old Babylonian period. //Revue d' | ||
- | * Friberg, Jöran. 2005. // | ||
- | * Friberg, Jöran. 2007. //Amazing Traces of Babylonian Origin in Greek Mathematics// | ||
- | * Friberg, Jöran. 2007. //A Remarkable Collection of Babylonian Mathematical Texts//, vol. I. New York: Springer. | ||
- | * Friberg, Jöran. 2005. On the Alleged Counting with Sexagesimal Place Value Numbers in Mathematical Cuneiform Texts from the Third Millennium B. C. //CDLJ// 2005: | ||
- | * Friberg, Jöran. 2009. A Geometric Algorithm with Solutions to Quadratic Equations in a Sumerian Juridical Document from Ur III Umma. //CDLJ// 2009-3. | ||
- | * Høyrup, Jens. 2002. //Lengths, Widths, Surfaces. A Portrait of Old Babylonian Algebra and its Kin//. Berlin & Londres: Springer. | ||
- | * Middeke-Conlin, | ||
- | * Neugebauer, Otto. 1935-1937. // | ||
- | * Neugebauer, Otto and Abraham J. Sachs. 1945. // | ||
- | * Neugebauer, Otto. 1957. //The exact sciences in antiquity// | ||
- | * Nissen, Hans J., Peter Damerow, and Robert K. Englund (1993) Archaic Bookkeeping, | ||
- | * Powell, M. A., Jr. (1976) "The antecedents of Old Babylonian place notation and the early history of Babylonian mathematics" | ||
- | * Powell, Marvin A. 1987-1990. Masse und Gewichte. In // | ||
- | * Proust, Christine (with the collaboration of A. Cavigneaux). 2007. //Tablettes mathématiques de Nippur//. Istanbul: Institut Français d' | ||
- | * Proust, Christine (with the collaboration of M. Krebernik and J. Oelsner). 2008. //Tablettes mathématiques de la collection Hilprecht// | ||
- | * Proust, Christine. 2009. Numerical and metrological graphemes: from cuneiform to transliteration. //Cuneiform Digital Library Journal// 2009: | ||
- | * Robson, Eleanor. 1999. // | ||
- | * Robson, Eleanor. 2008. // | ||
- | * Thureau-Dangin, | ||
+ | [[http:// | ||
\\ CP | \\ CP | ||