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越南數學史文本概述
兼及中越數學交流

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作        者　琅元 Alexei Volkov

作者簡介　琅元（Alexei Volkov）是蘇聯科學院科學技術史學所博士。2006 年起任教於國立清華大學通識教育中心暨歷史研究所。研究興趣以非西方文化脈絡下的數學及相關領域之歷史，特別是中國與越南歷史中的天文、星占、科學與宗教間的互動關係。

譯        者　廖傑成

譯者簡介　廖傑成畢業臺師大數學所，主修數學史與數學教育，現為新北市立錦和高中教師。譯有《數學也可以這樣學》( 合譯)


參考資料

人名對照表
杜德祚 Đỗ Đức Tộ

黃豐裕 Hoàng Phong Dụ

梁世榮 Lương Thế Vinh

黎貴惇 Lê Quư Đôn

范嘉瑼 Phạm Gia Chuyên

阮瑾 Nguyễn Cẩn

阮有慎 Nguyễn Hữu Thận

阮意齋 Nguyễn Ư Trai

潘輝框 Phan Huy Khuông

范有鐘 Phạm Hữu Chung

范嘉紀 Phạm Gia Kỷ

謝玉輦 Tạ Ngọc Liễn

謝有常 Tạ Hữu Thường

書名對照表
指明算法 Chỉ minh toán pháp

指明立成算法 Chỉ minh lập thành toán pháp

筆算指南 Bút toán chỉ nam

九章立成併法 Cửu chương lập thành tính pháp

九章立成算法 Cửu chương lập thành toán pháp

九章算法 Cửu chương toán pháp

九章算法立成 Cửu chương toán pháp lập thành

大越通史 Đại Việt thông sử

大成算學指明 Đại thành toán học chỉ minh

大成算法 Đại thành toán pháp

立成算法 Lập thành toán pháp

統宗算法 Thống tông toán pháp

算田除九法 Toán điền trừ cửu pháp

算學格致 Toán học cách trí

算學格致黃豐裕家書正本 Toán học cách trí Hoàng Phong Dụ gia thư chính bổn

算學底蘊Toán học để uẩn

算學心法 Toán học tâm pháp

算法Toán pháp

算法大成 Toán pháp đại thành

算法提綱 Toán pháp đề cương

算法奇妙 Toán pháp kư diệu

集成諸家幻儀算法 Tập thành chư gia huyễn ngh́ toán pháp

算法卷 Toán pháp quyển

總聚諸家算法大全 Tổng tụ chư gia toán pháp đại toàn

重訂算法指南新編 Trùng dính Toán học chỉ nam tân biên

意齋算法一得錄 Ư Trai toán pháp nhất đắc lục

中日文部分

[三上] 三上義夫 (1934)〈安南の一算書に就て〉，《學校數學》14: 3-11.

[李儼] 李儼 (1954)〈章用君修治中國算學史遺事〉（李儼，《中國算學史論叢》，台北：正中書局），頁135-146.
[韓琦] 韓琦〈中越歷史上天文學與數學的交流〉，《中国科技史料》12(1991), no. 2: 3-8.

英越法文部分

[Gaspardone] Gaspardone, Emile. Bibliographie Annamite. Bulletin de l'Ecole française d'Extrême orient vol. 34, no. 1, pp. 1-173.

[H&D 1954] Huard, Pierre and Durand, Maurice. Connaissance du Viet‐Nam.Paris: Imprémerie Nationale, and Hanoi: Ecole Française d'Extrême‐Orient.

[H&D 1963] Huard, Pierre, and Durand, Maurice. La science au Viet Nam. Bulletin de la Société des études indochinoises, Nouvelle Serie, vol. 38, nos. 3-4, pp. 531-558.

[Martzloff] Martzloff, Jean‐Claude. A History of Chinese Mathematics. Berlin etc.: Springer.

[Tạ] Tạ Ngọc Liễn. Vài nét về toán học ở nước ta thời xưa (Some Features of Vietnamese Mathematics in Pre‐modern Times). In: T́m hiểu khoa học kỹ thuật trong lịch sử Việt Nam (The Study of Science and Technology in Vietnamese History). Hanoi: Nhà Xuất Bản Khoa Học Xă Hội (Social Sciences Publishing House), pp. 289-314.

[Tran] Tran Van Giap. Les chapitres bibliographiques de Le‐qui‐Don et de Phan‐huy‐Chu. Bulletin de la Société des Etudes Indochinoises (Saigon, Nouvelle Série), vol. 13, no. 1, pp. 7-217.

[T&G] Tran and Gros (1993) – Trần, Nghĩa and François Gros (eds.). Catalogue des Livres en Han Nôm [bilingual edition]. Hanoi: Nhà Xuất Bản Khoa Học Xă Hội (Social Sciences Publishing House).

[Volkov 2002] Volkov, Alexei. On the origins of the Toan phap dai thanh (Great Compendium of Mathematical Methods). In: Yvonne Dold-Samplonius, Joseph W. Dauben, Menso Folkerts, and Benno van Dallen (eds.), From China to Paris: 2000 years transmission of mathematical ideas. Stuttgart: Franz Steiner Verlag, pp. 369-410.

[Volkov 2004] Volkov, Alexei. History of ideas or history of textbooks: Mathematics and mathematics education in traditional China and Vietnam. In: Horng Wann‐Sheng et al. (eds.), Proceedings of Asia‐Pacific HPM 2004 Conference: History, Culture, and Mathematics Education in the New Technology era, May 24-28, 2004. Taichung: National Taichung Teachers College, Department of Mathematics Education, pp. 57-80.

[Volkov 2005] Volkov, Alexei. Traditional Vietnamese Mathematics: The case of Lương Thế Vinh (1441-1496?) and his treatise Toan phap dai thanh (Great Compendium of Mathematical Methods). In: Ed. U Kyi Win (ed.), Traditions of Knowledge in Southeast Asia. Yangon: Myanmar Historical Commission, Part 3, pp. 156-177.

[Volkov 2006] Volkov, Alexei. State mathematics education in traditional China and Vietnam: formation of “mathematical hagiography” of Lương Thế Vinh 梁世榮 (1441-1496?). In: Trinh Khac Manh and Phan Van Cac (eds.), Confucianism in Vietnam. Hanoi: Nhà Xuất Bản Khoa Học Xă Hội (Social Sciences Publishing House), pp. 272-309.

[Volkov 2008a] Volkov, Alexei. Mathematics in Vietnam. In H. Selin (ed.), Encyclopaedia of the History of Non-Western Science: Natural Science, Technology and Medicine. Heidelberg: Springer-Verlag, pp. 1425-1432.

[Volkov 2008b] Volkov, Alexei. Traditional Vietnamese Astronomy in Accounts of Jesuit Missionaries. In: Luis Saraiva and Catherine Jami (eds.), History of mathematical sciences, Portugal and East Asia III: The Jesuits, the Padroado and East Asian Science (1552-1773). Singapore etc.: World Scientific, pp. 161-185.

[Volkov 2009] Volkov, Alexei. Mathematics and Mathematics Education in Traditional Vietnam. In: Eleanor Robson and Jacqueline Stedall (eds.), Oxford Handbook of the History of Mathematics. Oxford: Oxford University Press, pp. 153-176.

[Volkov 2012] Volkov, Alexei. Argumentation for state examinations: demonstration in traditional Chinese and Vietnamese mathematics. In: Karine Chemla (ed.), The History of Mathematical Proof in Ancient Traditions. Cambridge: Cambridge University Press, pp. 509-551.

[Volkov 2013a] Volkov, Alexei. An Early Japanese Work on Chinese Mathematics in Vietnam: Mikami Yoshio’s Study of the Vietnamese Mathematical Treatise Chi minh toan phap 指明算法. In: Eberchard Knobloch, Komatsu Hikosaburo and Liu Dun (eds.), Seki, Founder of Modern Mathematics in Japan: A Commemoration on His Tercentenary (Springer Proceedings in Mathematics & Statistics, vol. 39). Tokyo etc.: Springer, pp. 149-172.

[Volkov 2013b] Volkov, Alexei. Astrology and hemerology in traditional Vietnam. In: Jean-Noel Robert and Pierre Marsone (eds.), Les astres et le destin: Astrologie et divination en Asie Orientale / Stars and Fate: Astrology and Divination in East Asia. (Extrême-Orient Extrême-Occident, vol. 35). Paris: PUV, pp. 113-140.

[Volkov 2014a] Volkov, Alexei. History of mathematics education in Oriental Antiquity and Middle Ages. In: Alexander Karp and Gert Schubring (eds.), Handbook on the History of Mathematics Education. New York etc: Springer, pp. 55-70, 79-82.

[Volkov 2014a] Volkov, Alexei. Didactical dimensions of mathematical problems: ‘weighted distribution’ in a Vietnamese mathematical treatise. In: Alain Bernard and Christine Proust (eds.), Scientific Sources and Teaching Contexts Throughout History: Problems and Perspectives (Boston Studies in the Philosophy and History of Science, vol. 301). Dordrecht etc: Springer, pp. 247-272.

[Volkov 2016a] Volkov, Alexei. Mathematics in Vietnam. [A largely revised version of Volkov 2008a]. In: H. Selin (ed.), Encyclopaedia of the History of Non-Western Science: Natural Science, Technology and Medicine (3rd updated edition). Heidelberg: Springer-Verlag (forthcoming).

[Volkov 2016b] Volkov, Alexei. Mathematics, mathematical education, and mathematical examinations in Vietnam. In Sasaki Chikara (Editor-in-chief), Takase Masahito, Miura Nobuo, and Kobayashi Tatsuhiko (eds.), Dictionary of the History of Mathematics. Tokyo: Nippon Hyoronsha (in Japanese; forthcoming).