"A difficult case": Pacioli and Cardano on the Chinese Rings
By: Albrecht Heeffer and Andreas M. Hinz
References
- [1] Ahrens, Wilhelm. Mathematische Unterhaltungen und Spiele, Leipzig: B.G., Teubner, 1901.
- [2] Arima, Yoriyuki. Shüki sanpō, [Edo]: Senshōdō, 1769.
- [3] Ball, W. W. Rouse. Mathematical recreations and problems of past and present times, London: Macmillan and Co, 1892.
- [4] Boncompagni, Baldessaro. \Appendice di documenti inediti relativi a Fra Luca Pacioli", Bullettino di bibliografia e di storia delle scienze matematiche e fisiche, 12 (June), 428-438, 1879.
- [5] Cardano, Girolamo. Practica arithmetice & mensurandi singularis: in qua que preter alias continentur versa pagina demonstrabit, Mediolani: Io. Antonins Castellioneus Mediolani imprimebat, impensis B. Calusci, 1539.
- [6] Cardano, Girolamo. Hieronymi Cardani Medici Mediolanensis De Subtilitate Libri XXI, Norimbergæ apud Ioh. Petreium (for a modern edition and translation, Forrester), 1550.
- [7] Döll, Steffen; Hinz, Andreas M. \Kyü-renkan|the Arima sequence", Advanced Studies in Pure Mathematics, to appear.
- [8] Dudeney, Henry Ernest. Amusements in Mathematics, London: Thomas Nelson, 1917.
- [9] Fibonacci, Leonardo. Scritti di Leonardo Pisano, Baldassarre Boncompagni (ed.), Roma: Tipografia delle scienze matematiche e fisiche, 1857 (English translation by Laurence Sigler, Fibonacci's Liber Abaci: a Translation into Modern English of Leonardo Pisano's Book of Calculation, New York: Springer, 2002).
- [10] Forrester, John (ed. tr.). The De subtilitate of Girolamo Cardano, Tempe, Arizona: Arizona Center for Medieval and Renaissance Studies, 2013.
- [11] Garlaschi Peirani, Maria (ed.). De viribus quantitatis, Milano: Ente Raccolta Vinciana, 1997.
- [12] Gardner, Martin. Knotted doughnuts and other mathematical entertainments, New York: W.H. Freeman, 1986.
- [13] Gros, Louis. Théorie du Baguenodier par un clerc de notaire lyonnais, Lyon: Aimé Vingtrinier, 1872.
- [14] Heeffer, Albrecht. \Regiomontanus and Chinese Mathematics", Philosophica, 83, 81-107, 2010.
DOI: https://doi.org/10.1515/rmm-2017-0017 | Journal eISSN: 2182-1976
Language: English
Page range: 5 - 23
Published on: Jan 11, 2018
Published by: Ludus Association
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year
Keywords:
Related subjects:
© 2018 Albrecht Heeffer, Andreas M. Hinz, published by Ludus Association
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.