Jöran Friberg

Professor emeritus, Mathematical Sciences

My research interest is in History of Ancient Mathematics, mainly in History of Mesopotamian Mathematics.
​Papers:
Friberg, Jöran The Third Millennium Roots of Babylonian Mathematics. I. A Method for the Decipherment, through Mathematical and Metrological Analysis, of Proto-Sumerian and proto-Elamite Semi-Pictographic Inscriptions. Dept of Mathematics, Chalmers U. of Technology 1978–9.
----------- The Early Roots of Babylonian Mathematics. II: Metrological Relations in a Group of Semi-Pictographic Tablets of the Jemdet Nasr Type, Probably from Uruk-Warka. Dept of Mathematics, Chalmers U. of Technology 1979–15.
----------- Methods and Traditions of Babylonian Mathematics. Plimpton 322, Pythagorean Triples, and the Babylonian Triangle Parameter Equations. Historia Mathematica 8 1981, 277–318.
----------- Methods and Traditions of Babylonian Mathematics, II: An Old Babylonian Catalogue Text with Equations for Squares and Circles. Journal of Cuneiform Studies 33 1981, 57–64.
----------- Numbers and Measures in the Earliest Written Records. Scientific American 250:2 February 1984, 78–85.
----------- xxx in Joseph Dauben The History of Mathematics from Antiquity to the Present: A Selective Bibliography 1985.
----------- The Early Roots of Babylonian Mathematics. III: Three Remarkable Texts from Ancient Ebla. Vicino Oriente 6 1986, 3–25.
----------- On the Big 6-Place Tables of Reciprocals and Squares from Seleucid Babylon and Uruk and their Old Babylonian and Sumerian Predecessors. Sumer 42 1986, 81–87.
----------- Mathematik, in Reallexikon der Assyriologie und Vorderasiatischen Archäologie VII 1990, 531-585.
----------- Hermann Hunger & Farouk N. H. al-Rawi ‘Seed and Reeds’, A Metro-Mathematical Topic Text from Late Babylonian Uruk. Baghdader Mitteilungen 21 1990, 483–557, pl. 46–48.
----------- Review of Hans-Joachim Waschkies, Anfänge der Arithmetik im Alten Orient und bei den Griechen 1989. Bibliotheca Orientalis 49 1992, 180–185.
----------- Numbers and Counting in Anchor Bible Dictionary 1992.
----------- On the Structure of Cuneiform Metrological Table Texts from the -1st Millennium. Grazer Morgenländische Studien 3 1993, 383–405.
----------- Den äldre matematikens historia. In Nationalencyklopedin 1993, xx-xx.
----------- Preliterate Counting and Accounting in the Middle East. A Constructively Critical Review of Schmandt-Besserat's Before Writing. Orientalistische Literaturzeitung 89 1994, 477–502.
----------- Pyramids and Cones in Cuneiform and Other Mathematical Texts. Max-Planck-Institut für Wissenschaftsgeschichte. Preprint 29 1996.
----------- Bricks and Mud in Metro-Mathematical Cuneiform Texts. Max-Planck-Institut für Wissenschaftsgeschichte. Preprint 32 1996.
----------- Review af Kazuo Muroi, Two Harvest Problems of Babylonian Mathematics. Historia Scientiarum 1996 in Mathematical Reviews (961003).
----------- ‘Seed and Reeds Continued’. Another Metro-Mathematical Topic Text from Late Babylonian Uruk. Baghdader Mitteilungen 28 1997, 251–365, pl. 45–46.
----------- The History of Mesopotamian Mathematics – An Annotated Bibliography of (Mostly) Recent Works. Dept of Mathematics. Chalmers U. of Technology 1998-12.
----------- Round and Almost Round Numbers in Proto-Literate Metro-Mathematical Field Texts. Archiv für Orientforschung 44–45 1997–1998, 1–58.
----------- Counting and Accounting in the Proto-Literate Middle East: Examples from Two New Volumes of Proto-Cuneiform Texts. Journal of Cuneiform Studies 51 1999, 107–137.
----------- A Late Babylonian Factorization Algorithm for the Computation of Reciprocals of Many-Place Regular Sexagesimal Numbers. Baghdader Mitteilungen 30 1999, 139–161, pl 1–2.
----------- Mathematics at Ur in the Old Babylonian Period. Revue d'Assyriologie 94 2000, 97–188.
----------- Review of Eleanor Robson, Mesopotamian Mathematics 2100–1600 BC. Technical Constants in Bureaucracy and Education 1999 in Archiv für Orientforschung 46–47 1999-200, 308–317.
----------- Bricks and Mud in Metro-Mathematical Cuneiform Texts. In Jens Høyrup & Peter Damerow (eds), Changing Views on Ancient Near Eastern Mathematics 2001, 61-154.
----------- La matematica [babilonese] in Storia della Scienza. I. La scienza antica 2001, 388-408.
---------- Matematiske Kilskrifttexter i den norske Schøyensamlingen. Normat 52:4 2004, 145–159.
----------- On the Alleged Counting with Sexagesimal Place Value Numbers in Mathematical Cuneiform Texts from the Third Millennium BC. Cuneiform Digital Library Journal 2005:2.
----------- & Joachim Marzahn A Chain of Trapezoids with Fixed Diagonals: VAT 8393. A New Old Babylonian Single Problem Text. In Jöran Friberg, Amazing Traces of a Babylonian Origin in Greek Mathematics 2007, 431-442.
----------- A Geometric Algorithm with Solutions to Quadratic Equations in a Neo-Sumerian Juridical Document from Ur III Umma. Cuneiform Digital Library Journal 2009:3.
---------- Review of] Eleanor Robson, Mathematics in Ancient Iraq. A Social History 2008. in xx.
----------- Seven-Sided Star Figures and Tuning Algorithms in Mesopotamian, Greek and Islamic Texts. Archiv für Orientforschung 52 2011, 121-155.
----------- & Andrew GeorgeSix More Mathematical Texts in the Schøyen Collection, in Diletta Minutoli & Rosario Pintaudi (eds), Papyri Graecae Schøyen 2010, 123-196.
----------- Geometric Division Problems, Quadratic Equations, and Recursive Geometric Algorithms in Mesopotamian Mathematics. Archive for History of Exact Sciences 68 2014, 1–34.
----------- Three Thousand Years of Sexagesimal Numbers in Mesopotamian Mathematical Texts". Archive for History of Exact Sciences 73 2019, xx-xx.
Books:
Jöran Friberg A Survey of Publications on Sumero-Akkadian Mathematics, Metrology and Related Matters (1854–1982). Dept of Mathematics, Chalmers U. of Technology 1982–17.
----------- Unexpected Links between Egyptian and Mesopotamian Mathematics. World Scientific Publishing 2005.
----------- Amazing Traces of a Babylonian Origin in Greek Mathematics. World Scientific Publishing, 2007.
----------- A Remarkable Collection of Babylonian Mathematical Texts. Manuscripts in the Schøyen Collection, Cuneiform Texts I. Springer, 2007.
----------- & Farouk N. H. Al-Rawi New Mathematical Cuneiform Texts. Springer 2016

Published: Thu 17 Jan 2019.