Poles and walls in Mesopotamia and Egypt

Historia Mathematica

Volumn 31, Issue 2, 2004, Pages 148-162

  Melville, Duncan J ^a  

^a ST LAWRENCE UNIVERSITY   (United States)

Author keywords

Demotic; Old Babylonian; Pythagorean problems; Reed and wall; Seleucid

Indexed keywords

EID: 2442659334     PISSN: 03150860     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.hm.2003.08.004     Document Type: Article

References (32)

1. Dold-Samplonius, Y., et al. (Eds.), 2002. From China to Paris: 2000 Years Transmission of Mathematical Ideas. Franz Steiner Verlag, Stuttgart.
2. Friberg, J., 1996. Pyramids and cones in cuneiform and other mathematical texts. New hints of a common tradition. Proc. Cultural History of Mathematics 6, 80-95.
3. Friberg, J., 2000. Mathematics at Ur in the Old Babylonian period. Rev. Assyriologie 94, 97-188.
4. Høyrup, J., 1990a. Sub-scientific mathematics. Observations on a pre-modern phenomenon. Hist. Sci. 28, 63-86.
5. Høyrup, J., 1990b. Algebra and naive geometry: an investigation of some basic aspects of Old Babylonian mathematical thought. Altorientalische Forschungen 17, 27-69, 262-354.
6. Høyrup, J., 1996a. Changing trends in the historiography of Mesopotamian mathematics: An insider's view. Hist. Sci. 34, 1-32.
7. Høyrup, J., 1996b. "The four sides and the area." Oblique light on the prehistory of algebra. In: Calinger, R. (Ed.), Vita Mathematica. Historical Research and Integration with Teaching. Washington, pp. 45-65.
8. Høyrup, J., 1997a. Hero, Ps.-Hero, and Near Eastern practical geometry. An investigation of Metrica, Geometrica, and other treatises. In: Döring, K., Herzoff, B., Wöhrle, G. (Eds.), Antike Naturwissenschaft und ihre Rezeption, vol. 7. Trier, pp. 67-93.
9. Høyrup, J., 1997b. Mathematics, practical and recreational. In: Selin, H. (Ed.), Encyclopedia of the History of Science, Technology and Medicine in Non-Western Cultures. Kluwer Academic, Dordrecht, pp. 660-663.
10. Høyrup, J., 1997c. Algebra, surveyors. In: Selin, H. (Ed.), Encyclopedia of the History of Science, Technology and Medicine in Non-Western Cultures. Kluwer Academic, Dordrecht, pp. 52-55.
11. Høyrup, J., 1999. Pythagorean "Rule" and " Theorem" - Mirror of the relation between Babylonian and Greek mathematics. In: Renger, J. (Ed.), Babylon: Focus mesopotamischer Geschichte, Wiege früher Gelehrsamkeit, Mythos in der Moderne (CDOG 2). Saarbrücker Druckerei und Verlag, Saarbrucken, pp. 393-407.
12. Høyrup, J., 2001. On a collection of geometrical riddles and their role in the shaping of four to six "algebras." Sci. Context 14, 85-131.
13. Høyrup, J., 2002a. Lengths, Widths, Surfaces: A Portrait of Old Babylonian Algebra and Its Kin. Springer-Verlag, New York.
14. Høyrup, J., 2002b. Seleucid innovations in the Babylonian "algebraic" tradition and their kin abroad. In: Dold-Samplonius, Y., Dauben, J., Folkerts, M., van Dalen, B. (Eds.), From China to Paris: 2000 Years Transmission of Mathematical Ideas. Franz Steiner Verlag, Stuttgart, pp. 9-29.
15. Imhausen, A., 2002. The algorithmic structure of the Egyptian Mathematical Problem Texts. In: Steele, J.M., Imhausen, A. (Eds.), Under One Sky: Astronomy and Mathematics in the Ancient Near East. Ugarit-Verlag, Münster, pp. 147-166.
16. Knuth, D.E., 1972. Ancient Babylonian algorithms. Commun. Assoc. Comput. Machinery 15, 671-677.
17. Mattha, G., 1975. The Demotic Legal Code of Hermopolis West. Institut Bibliothèque d'Étude 45.
18. Muroi, Kazuo, 1991. Two Babylonian mathematical problems concerning a timber placed against a wall. Kagakushi Kenkyu 30, 23-27.
19. Neugebauer, O., 1935-1937. Mathematische Keilschrifttexte I-III (MKT). Springer-Verlag, Berlin.
20. Parker, R.A., 1972. Demotic Mathematical Papyri. Brown Univ. Press, Providence, RI.
21. Ritter, J., 1995. Measure for measure: Mathematics in Egypt and Mesopotamia. In: Serres, M. (Ed.), A History of Scientific Thought. Blackwell, Oxford, pp. 44-72.
22. Ritter, J., 1998. Reading Strasbourg 368: A Thrice-Told Tale. Max-Planck-Institut. Reprint 103.
23. Robson, E., 1999. Mesopotamian Mathematics, 2100-1600 B.C. Technical Constants in Bureaucracy and Education, OECT 14. Clarendon Press, Oxford.
24. Robson, E., 2000. The uses of mathematics in ancient Iraq 6000-600 B.C. In: Selin, H. (Ed.), Mathematics Across Cultures: The History of Non-Western Mathematics. Kluwer Academic, Dordrecht, pp. 93-113.
25. Robson, E., 2002. More than metrology: Mathematics education in an Old Babylonian scribal school. In: Steele, J.M., Imhausen, A. (Eds.), Under One Sky: Astronomy and Mathematics in the Ancient Near East, AOAT 297. Ugarit-Verlag, Münster, pp. 325-365.
26. Sesiano, J., 1987. Survivance médiévale en Hispanie d'un problème né en Mésopotamie. Centaurus 30, 18-61.
27. Shen Kangshen, Crossley, J., Lun, A., 1999. The Nine Chapters on the Mathematical Art: Companion and Commentary. Oxford Univ. Press, Oxford.
28. Sigler, L.E., 2002. Fibonacci's Liber Abaci: A Translation into Modern English of Leonardo Pisano's Book of Calculation. Springer-Verlag, New York.
29. Stewart, J., 1998. Calculus: Concepts and Contexts, Single Variable. Brooks/Cole.
30. Thureau-Dangin, F., 1935. La mesure des volumes d'après une tablette inédite du British Museum. Rev. Assyriologie 32, 1-28.
31. Thureau-Dangin, F., 1938. Textes mathématiques babyloniens, Ex Oriente Lux 1. TMB, Leiden.
32. Veldhuis, N., 1997. Elementary education at Nippur: The lists of trees and wooden objects. Thesis, University of Groningen.