Relevant bibliographies by topics / Babylonian mathematics

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Babylonian mathematics'

Author: Grafiati
Published: 4 June 2021
Last updated: 31 July 2024

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Journal articles on the topic "Babylonian mathematics"

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Brack-Bernsen*, Lis, and Olaf Schmidt**. "Bisectable Trapezia in Babylonian Mathematics." Centaurus 33, no. 1 (April 1990): 1–38. http://dx.doi.org/10.1111/j.1600-0498.1990.tb00718.x.

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Steele, John. "Babylonian Shadow-Length Schemes: Between Mathematics and Astronomy." Claroscuro. Revista del Centro de Estudios sobre Diversidad Cultural, no. 20 (December 30, 2021): 1–25. http://dx.doi.org/10.35305/cl.vi20.82.

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A simple mathematical scheme to represent the variation in the length of the shadow cast by a vertical gnomon at different times of day and in different months of the year is presented in the early astronomical compendium MUL.APIN. A small number of texts composed in the Late Babylonian period investigate and expand this scheme. These texts have previously been studied and understood as part of Babylonian astronomy. In this article, I suggest that two of these later texts can be better understood as mathematical texts. As such they provide evidence for the influence of astronomy on Late Babylonian mathematics, either or both as the context for simple mathematical problems and/or as a topic of mathematical investigation.
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Friberg (book author), Jöran, and Nathan Sidoli (review author). "Unexpected Links between Egyptian and Babylonian Mathematics and Amazing Traces of a Babylonian Origin in Greek Mathematics." Aestimatio: Critical Reviews in the History of Science 5 (December 21, 2015): 142–47. http://dx.doi.org/10.33137/aestimatio.v5i0.25867.

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Muroi, Kazuo. "Extraction of Cube Roots in Babylonian Mathematics." Centaurus 31, no. 3 (October 1988): 181–88. http://dx.doi.org/10.1111/j.1600-0498.1988.tb00736.x.

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Depuydt, Leo. "Unexpected links between Egyptian and Babylonian mathematics." Mathematical Intelligencer 30, no. 3 (June 2008): 72–74. http://dx.doi.org/10.1007/bf02985385.

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Knill, Ronald J. "A Modified Babylonian Algorithm." American Mathematical Monthly 99, no. 8 (October 1992): 734. http://dx.doi.org/10.2307/2324239.

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Høyrup, Jens. "On a Collection of Geometrical Riddles and their Role in the Shaping of Four to Six “Algebras”." Science in Context 14, no. 1-2 (June 2001): 85–131. http://dx.doi.org/10.1017/s0269889701000047.

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For more than a century, there has been some discussion about whether medieval Arabic al-jabr (and hence also later European algebra) has its roots in Indian or Greek mathematics. Since the 1930s, the possibility of Babylonian ultimate roots has entered the debate. This article presents a new approach to the problem, pointing to a set of quasi-algebraic riddles that appear to have circulated among Near Eastern practical geometers since c. 2000 BCE, and which inspired first the so-called “algebra” of the Old Babylonian scribal school and later the geometry of Elements II (where the techniques are submitted to theoretical investigation). The riddles also turn up in ancient Greek practical geometry and Jaina mathematics. Eventually they reached European (Latin and abbaco) mathematics via the Islamic world. However, no evidence supports a derivation of medieval Indian algebra or the original core of al-jabr from the riddles.
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Bidwell, James K. "A Babylonian Geometrical Algebra." College Mathematics Journal 17, no. 1 (January 1986): 22. http://dx.doi.org/10.2307/2686867.

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Flenner, H. "Babylonian tower theorems for coverings." Archiv der Mathematik 57, no. 3 (September 1991): 299–304. http://dx.doi.org/10.1007/bf01196861.

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HØYRUP, JENS. "On Old Babylonian Mathematical Terminology and its Transformations in the Mathematics of Later Periods." GANITA BHARATI 40, no. 1 (August 9, 2019): 53–99. http://dx.doi.org/10.32381/gb.2018.40.01.3.

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Dissertations / Theses on the topic "Babylonian mathematics"

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Robson, Eleanor. "Old Babylonian coefficient lists and the wider context of mathematics in ancient Mesopotamia 2100-1600 BC." Thesis, University of Oxford, 1995. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.296052.

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Junior, Cleber Possani. "Ferramentas cognitivas nas escolas de escribas da Antiga Babilônia." Universidade de São Paulo, 2013. http://www.teses.usp.br/teses/disponiveis/100/100135/tde-10092014-224957/.

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A partir de uma avaliação crítica de propostas teóricas voltadas ao estudo histórico da cognição como as apresentadas por Jack Goody e Reviel Netz , este trabalho desenvolve uma possível aproximação entre novos modelos produzidos no campo das ciências cognitivas, em especial modelos de cognição corporalizada (embodied cognition), e as atuais interpretações dos textos matemáticos babilônicos. Propõe possíveis desenvolvimentos dessas interpretações através da identificação de um sistema cognitivo estendido específico da cultura escribal babilônica, fundado no uso de ferramentas cognitivas: as formas de produção da escrita cuneiforme, o repertório textual preservado pela tradição escribal e a própria instituição social escolar da eduba. Neste quadro, os conceitos matemáticos, as formas de percepção e ordenação da realidade material e a cognição escribal sobre o conceito de tempo se revelam dependentes da agência material dos tabletes cuneiformes, das práticas ligadas a eles e da posição social do escriba.
From a critical evaluation of theoretical proposals aimed at the historical study of cognition as those presented by Jack Goody and Reviel Netz this paper explores a possible connection between new models coming from cognitive sciences, particularly \"embodied cognition models, and current interpretations of Babylonian mathematical texts. It proposes possible developments of these interpretations through the recognition of an extended cognitive system, specific of Babylonian scribal culture, based on the use of cognitive tools: forms of production of cuneiform writing, the textual repertoire preserved by scribal tradition and the social institution of the eduba school. In this context, mathematical concepts, forms of perception and ordering of material reality and scribal cognition of the concept of time reveal themselves dependent on the material agency of cuneiform tablets, the practices linked to them and the social position of the scribe.
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Books on the topic "Babylonian mathematics"

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Caveing, Maurice. Essai sur le savoir mathématique dans la Mésopotamie et l'Egypte anciennes. [Lille]: Presses universitaires de Lille, 1994.

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2

Waerden, B. L. Science awakening I: [Egyptian, Babylonian and Greek mathematics]. 5th ed. Princeton, NJ: Scholars Bookshelf, 1988.

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Marseille, Musées de, and Musée d'histoire de Marseille, eds. Mathématiques en Méditerranée: Des tablettes babyloniennes au théorème de Fermat. [Marseille]: Edisud, 1988.

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Friberg, Jöran. Amazing traces of a Babylonian origin in Greek mathematics. Singapore: World Scientific, 2008.

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Friberg, Jöran. Amazing traces of a Babylonian origin in Greek mathematics. Hackensack, N.J: World Scientific, 2007.

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Rudman, Peter Strom. The Babylonian theorem: The mathematical journey to Pythagoras and Euclid. Amherst, N.Y: Prometheus Books, 2010.

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Francine, Mawet, and Talon Ph, eds. D'Imhotep à Copernic: Astronomie et mathématiques des origines orientales au Moyen Age : actes du colloque international, Université libre de Bruxelles, 3-4 novembre 1989. Leuven: Peeters, 1992.

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Rudman, Peter Strom. How mathematics happened: The first 50,000 years. Amherst, N.Y: Prometheus Books, 2007.

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M, Steele John, and Imhausen Annette, eds. Under one sky: Astronomy and mathematics in the ancient Near East. Münster: Ugarit-Verlag, 2002.

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1859-1925, Hilprecht H. V., Krebernik Manfred, and Oelsner Joachim, eds. Tablettes mathématiques de la collection Hilprecht. Wiesbaden: Harrassowitz, 2008.

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Book chapters on the topic "Babylonian mathematics"

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Anglin, W. S., and J. Lambek. "Sumerian-Babylonian Mathematics." In The Heritage of Thales, 21–24. New York, NY: Springer New York, 1995. http://dx.doi.org/10.1007/978-1-4612-0803-7_5.

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Gonçalves, Carlos. "A Few Remarks About Old Babylonian Mathematics." In Sources and Studies in the History of Mathematics and Physical Sciences, 5–19. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-22524-1_2.

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Proust, Christine. "Segmentation of Texts in Old Babylonian Mathematics." In Pieces and Parts in Scientific Texts, 49–70. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-78467-0_3.

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Ossendrijver, Mathieu. "Scholarly Mathematics in the Rēš Temple." In Scholars and Scholarship in Late Babylonian Uruk, 187–217. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-04176-2_6.

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Sidoli, Nathan. "Unexpected Links between Egyptian and Babylonian Mathematics and Amazing Traces of a Babylonian Origin in Greek Mathematics by J.Friberg." In Aestimatio: Critical Reviews in the History of Science (Volume 5), edited by Alan C. Bowen and Tracey E. Rihll, 142–47. Piscataway, NJ, USA: Gorgias Press, 2010. http://dx.doi.org/10.31826/9781463232412-016.

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Gonçalves, Carlos. "On Old Babylonian Mathematics and Its History: A Contribution to a Geography of Mathematical Practices." In Sources and Studies in the History of Mathematics and Physical Sciences, 95–111. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-22524-1_5.

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Mansfield, Daniel, and N. J. Wildberger. "Written in Stone: The World’s First Trigonometry Revealed in an Ancient Babylonian Tablet." In The Best Writing on Mathematics 2018, edited by Mircea Pitici, 179–84. Princeton: Princeton University Press, 2018. http://dx.doi.org/10.1515/9780691188720-016.

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Høyrup, Jens. "(Article II.8.) A Hypothetical History of Old Babylonian Mathematics − Places, Passages, Stages, Development." In Selected Essays on Pre- and Early Modern Mathematical Practice, 689–709. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-19258-7_25.

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Muroi, Kazuo. "Babylonian Number Theory and Trigonometric Functions: Trigonometric Table and Pythagorean Triples in the Mathematical Tablet Plimpton 322." In Seki, Founder of Modern Mathematics in Japan, 31–47. Tokyo: Springer Japan, 2013. http://dx.doi.org/10.1007/978-4-431-54273-5_3.

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Ossendrijver, Mathieu. "Babylonian Mathematical Astronomy." In Handbook of Archaeoastronomy and Ethnoastronomy, 1863–70. New York, NY: Springer New York, 2014. http://dx.doi.org/10.1007/978-1-4614-6141-8_192.

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Conference papers on the topic "Babylonian mathematics"

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Bečvář, Jindřich. "Kruh v egyptské matematice." In Orientalia antiqua nova XXI. Západočeská univerzita v Plzni, 2021. http://dx.doi.org/10.24132/zcu.2021.10392-1-14.

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The article analyzes five exercises (R50, R48, R41, R42 and R43) from the Rhind Mathematical Papyrus (de-posited in the British Museum) that comes from the Second Intermediate Period of Egypt and is one of the best known examples of ancient Egyptian mathematics. One exercise (K2) from the Kahun Mathematical Papyrus (British Museum) is also discussed. The exercise R50 shows how Egyptian scribes calculated the area of a cir-cle with a given diameter. The exercise R48 compares the area of a circle with a given diameter to that of its cir-cumscribing square. Four other exercises demonstrate how to calculate the volume of a cylindrical grain silo with a given diameter and height. The author explains the algorithm which was used by Egyptian calculators. He also offers three ways how they could find a fairly accurate calculation, and how they approximated the value for π and compared Egyptian approximation with the approximation using by Babylonian scribes as well as Greek mathematicians.
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Bečvářová, Martina. "Tři starobabylónské matematické tabulky." In Orientalia antiqua nova XXI. Západočeská univerzita v Plzni, 2021. http://dx.doi.org/10.24132/zcu.2021.10392-15-36.

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The article analyzes three famous mathematical tablets from the Yale Babylonian Collection (YBC 7290, YBC 7289, and YBC 7302) that come from the Old Babylonian period (i.e. from some time between 1800 and 1600 BC). They show an interesting approach of ancient Babyloni-an mathematicians, scribes, or students to elementary planar geometric shapes (trapezoid, square, and circle). They describe the Old Babylonian calculations of areas, the approximation to the square root of 2 as well as the knowledge of the Pythagorean Theorem and the approx-imation to the value for π.
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Reports on the topic "Babylonian mathematics"

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Swetz, Frank J. Review ofA Remarkable Collection of Babylonian Mathematical Texts. Washington, DC: The MAA Mathematical Sciences Digital Library, December 2012. http://dx.doi.org/10.4169/loci003952.

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