221 research outputs found
Five Texts from Old Babylonian Mê-Turran (Tell Haddad), Ishchali and Shaduppûm (Tell Harmal) with Rectangular-Linear Problems for Figures of a Given Form
No full textIM 121613 (see the hand copies in Figs. 5.1.20-21 below) is a large and fairly well preserved Old Babylonian clay tablet from ancient M\uea-Turran (the site Tell Haddad, situated in the Himrin basin near Diyala). The various fragments of the text were gathered together by Farouk Al-Rawi, who also made the hand copies of the text. Thanks are due to the excavators Dr. Nail Hanoun and Mr. Burhan Shakir for their permission to publish and for their support during the copying of the text
New mathematical cuneiform texts
No full textThis monograph presents in great detail a large number of both unpublished and previously published Babylonian mathematical texts in the cuneiform script. It is a continuation of the work A Remarkable Collection of Babylonian Mathematical Texts (Springer 2007) written by Jöran Friberg, the leading expert on Babylonian mathematics. Focussing on the big picture, Friberg explores in this book several Late Babylonian arithmetical and metro-mathematical table texts from the sites of Babylon, Uruk and Sippar, collections of mathematical exercises from four Old Babylonian sites, as well as a new text from Early Dynastic/Early Sargonic Umma, which is the oldest known collection of mathematical exercises. A table of reciprocals from the end of the third millennium BC, differing radically from well-documented but younger tables of reciprocals from the Neo-Sumerian and Old-Babylonian periods, as well as a fragment of a Neo-Sumerian clay tablet showing a new type of a labyrinth are also discussed. The material is presented in the form of photos, hand copies, transliterations and translations, accompanied by exhaustive explanations. The previously unpublished mathematical cuneiform texts presented in this book were discovered by Farouk Al-Rawi, who also made numerous beautiful hand copies of most of the clay tablets. Historians of mathematics and the Mesopotamian civilization, linguists and those interested in ancient labyrinths will find New Mathematical Cuneiform Texts particularly valuable. The book contains many texts of previously unknown types and material that is not available elsewhere
Jöran Friberg; Farouk N. H. Al-Rawi. New Mathematical Cuneiform Texts . (Sources and Studies in the History of Mathematics and Physical Sciences.) xvii + 553 pp., figs., bibl., indexes. Cham, Switzerland: Springer, 2016. €100.69 (cloth). ISBN 9783319445977.
No full textInternational audienceThis book offers a collection of newly published or revisited mathematical cuneiform texts from different periods: Early Dynastic III (ca. 2600-2500 B.C.E.), Ur III (ca. 2100-2000 B.C.E.), Old Babylonian (2000-1600 B.C.E. [hereafter OB]), and Late Babylonian (ca. 563-547 B.C.E. [hereafter LB]). Most of the texts are kept in the British Museum, the Iraq Museum, and the Suleimaniyah Museum and were identified and copied by Farouk Al-Rawi. The book offers, in addition, a complete overview of known numerical and metrological tables dated to the Achaemenid and Seleucid periods (last centuries of the first millennium B.C.E.), with photos and complete transliterations that have not been published before
Late Babylonian Tables of Many-Place Regular Sexagesimal Numbers, from Babylon, Sippar, and Uruk
No full textFor the notion of many-place regular sexagesimal numbers, and for many explicit examples, both Old and Late Babylonian, the reader is referred to Friberg, MSCT 1 (2007), Sec. 1.4 and App. 9. In particular, it is important to recall that a sexagesimal number n is called “regular” if another sexagesimal number n\ub4 can be found such that n times n\ub4 equals some power of 60. (In Babylonian “relative” place value notation, every power of 60 is written as ‘1’.) The number n\ub4 is called the “reciprocal” of n. In the following, it is conveniently referred to as rec. n
Direct and Inverse Factorization Algorithms for Many-Place Regular Sexagesimal Numbers
No full textBM 46550 is a small Neo-Babylonian clay tablet, published for the first time in Sec. 2.1 below. On the obverse of the tablet is a teacher’s model text, showing that the reciprocal of the 6-place regular sexagesimal number n= 1 01 02 06 33 45 is the 5-place sexagesimal number rec. n = 28 \ub7 126 = 58 58 56 38 24
More Mathematical Cuneiform Texts of Group 6 from Late Old Babylonian Sippar
No full textIn Ch. IV of Neugebauer and Sachs, MCT (1945), A. Goetze divided published Old Babylonian mathematical texts without known provenance into 6 different groups with respect to their Akkadian orthography. Goetze’s classification was later refined and extended by J. H\uf8yrup in LWS (2002), Ch. IX. Groups 5 and 6 were classified by Goetze as “northern”
Cuneiform Inscriptions in the Collections of the John Rylands Library, University of Manchester
No full textMetrological Table Texts from Achaemenid Uruk
No full textThe corpus of published mathematical and/or metrological cuneiform texts from the 1st millennium BC is only moderately extensive. In Sec. 1.1 above, 34 Late Babylonian (Neo-Babylonian, Achaemenid, or Seleucid) texts dealing with many-place regular sexagesimal numbers were listed, and 11 of them were discussed in Chs. 1-2
- …
