數學的歷史、身份認同與所有權
作者 金明迴(Minhyong Kim)
作者簡介
金 明迴(Minhyong Kim)是一位韓國數學家,研究領域主攻算術幾何、拓樸學和數學物理。他現在是英國愛丁堡國際數學科學中心的主任、愛丁堡大學和 何里瓦特大學(Heriot-Watt University)所 設 的 聯 合 研 究 所 ——馬克士威研究所——的 惠 特 克(Whittaker)數學科學講座教授。他的主要數學貢獻是運用算術同倫論的工具來演算求解二元丟番圖(Diophantus)方程。
譯者 高玉齡
譯者簡介
高玉齡是業餘科普譯者。
本文出處
本文譯自Minhyong Kim,“History, Identity, and Ownership in Mathematics”, Notices of the AMS 72(2025)No. 8, AMS。© American Mathematical Society 2008. All rights reserved。感謝 AMS 與作者同意轉載翻譯。
延伸閱讀
讀者可參照本刊第21期威伊的〈數學史:為什麼,怎麼看〉和丘成桐的〈數學史與數學教育〉閱讀本文。
參考文獻
G. Barbujani, Human races: Classifying people vs. understanding diversity, Current Genomics 6 (2005), 215–226.
M. Bernal, Black Athena: The Afroasiatic Roots of Classical Civilization Volume I: The Fabrication of Ancient Greece 1785–1985, Vintage/Ebury, 2002.
R. Bombelli, L’Algebra. Available for download at ETH Zürich Library, https://www.e-rara.ch/zut/content/titleinfo/1230877.
K. Chema (ed.), History of Mathematical Proofs in Ancient Traditions, Cambridge University Press, 2012.
S. Falk, The Light Ages: A Medieval Journey of Discovery, Penguin Books, UK, 2020.
Leonardo Pisano, Fibonacci’s Liber abaci, Sources and Studies in the History of Mathematics and Physical Sciences, Springer-Verlag, New York, 2002. A translation into modern English of Leonardo Pisano’s Book of calculation; Translated from the Latin and with an introduction, notes and bibliography by L. E. Sigler.
David Fowler and Eleanor Robson, Square root approximations in old Babylonian mathematics: YBC 7289 in context (English, with English and French summaries), Historia Math. 25 (1998), no. 4, 366–378.
J. Hanink, The Classical Debt: Greek Antiquity in an Era of Austerity, Harvard University Press, 2017.
M. D. Hirschorn, Measuring the Radius of the Earth, The Mathematical Gazette 95 (2011), no. 532, 83–85.
K. Kitagawa and T. Revell, The Secret Lives of Numbers, William Morrow, 2024.
George Gheverghese Joseph, The crest of the peacock: Non-European roots of mathematics, 3rd ed., Princeton University Press, Princeton, NJ, 2011.
N. Mac Sweeney, The West: A New History of an Old Idea, W.H. Allen, 2023.
F. Starr, Lost Enlightenment: Central Asia’s Golden Age from the Arab Conquest to Tamerlane, Princeton University Press, 2015.