User:Jccsvq/sandbox/Abacus references
< User:Jccsvq | sandbox
References for Abacus Traditional Methods
[edit | edit source]As said by (Knott 1886), (Kojima 1954, p. 14),(Cabrera 2021) and (Kojima 1963, p. 41)...(Xú 1573), (Chen 2013)
References for the book:
[edit | edit source]Ancient Chinese books
[edit | edit source]- Zhū Shìjié 朱士傑 (1993) [1299]. Suànxué Qǐméng (算學啟蒙) (in Chinese). Zhōngguó kēxué jìshù diǎnjí tōng huì (中國科學技術典籍通彙).
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- Xú Xīnlǔ (徐心魯) (1993) [1573]. Pánzhū Suànfǎ (盤珠算法) (in Chinese). Zhōngguó kēxué jìshù diǎnjí tōng huì (中國科學技術典籍通彙).
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- Kē Shàngqiān (柯尚遷) (1993) [1578]. Shùxué Tōngguǐ (數學通軌) (in Chinese). Zhōngguó kēxué jìshù diǎnjí tōng huì (中國科學技術典籍通彙).
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Ancient Japanese books
[edit | edit source]- Mori, Kambei (毛利重能) (1622). Warisansho (割算書) (in Japanese).
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- Yoshida, Mitsuyoshi (吉田光由) (1634). Jinkoki (塵劫記) (in Japanese).
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- Momokawa, Jihei (百川治兵衛) (1645). Kamei Zan (亀井算) (in Japanese).
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- Shinoda, Shosaku (篠田正作) (1895). Jitsuyo Sanjutsu (実用算術) (in Japanese).
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Books
[edit | edit source]- Kwa Tak Ming (1920?), The Fundamental Operations in Bead Arithmetic, How to Use the Chinese Abacus (PDF), San Francisco: Service Supply Co.
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- Goded Mur, Antonino (1945), Matemáticas [Mathematics] (in Spanish), Zaragoza (Spain): Compendios CHOP
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- Kojima, Takashi (1954), The Japanese Abacus: its Use and Theory, Tokyo: Charles E. Tuttle Co., Inc., ISBN 978-0-8048-0278-9
- Kojima, Takashi (1963), Advanced Abacus: Theory and Practice, Tokyo: Charles E. Tuttle Co., Inc., ISBN 978-0-8048-0003-7
Journal articles and book chapters
[edit | edit source]- Knott, Cargill G. (1886), "The Abacus, in its Historic and Scientific Aspects", Transactions of the Asiatic Society of Japan, 14: 18–73
- Suzuki, Hisao (鈴木 久男) (1980). "Chūgoku ni okeru josan-hō no kigen (1 ) 中国における除算法の起源（1)". Kokushikan University School of Political Science and Economics (in Japanese). 55 (2). ISSN 0586-9749 – via Kokushikan.
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- Suzuki, Hisao (鈴木 久男) (1981). "Chūgoku ni okeru josan-hō no kigen (2 ) 中国における除算法の起源（2)". Kokushikan University School of Political Science and Economics (in Japanese). 56 (1). ISSN 0586-9749 – via Kokushikan.
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- Suzuki, Hisao (鈴木 久男) (1982). "Chuugoku ni okeru shuzan kagen-hou 中国における珠算加減法". Kokushikan University School of Political Science and Economics (in Japanese). 57 (3). ISSN 0586-9749 – via Kokushikan.
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- Chen, Yifu (2018), "The Education of Abacus Addition in China and Japan Prior to the Early 20th Century", Computations and Computing Devices in Mathematics Education Before the Advent of Electronic Calculators, Springer Publishing, ISBN 978-3-319-73396-8
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- Woods, Christopher (2017), "The Abacus in Mesopotamia: Considerations from a Comparative Perspective", The First Ninety Years: A Sumerian Celebration in Honor of Miguel Civil, De Gruiter, ISBN 9781501511738
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PhD thesis
[edit | edit source]- Chen, Yifu (2013). L’étude des Différents Modes de Déplacement des Boules du Boulier et de l’Invention de la Méthode de Multiplication Kongpan Qianchengfa et son Lien avec le Calcul Mental (PhD thesis) (in French). Université Paris-Diderot (Paris 7).
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Web articles
[edit | edit source]- "The Definitive Higher Math Guide on Integer Long Division (and Its Variants)". Math Vault. Archived from the original on May 14, 2021.
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- Totton Heffelfinger (2013). "Suan Pan and the Unit Rod - Division". 算盤 Abacus: Mystery of the Bead. Archived from the original on August 3, 2021.
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- Totton Heffelfinger (2013). "Short Division Techniques - Chinese Suan Pan". 算盤 Abacus: Mystery of the Bead. Archived from the original on August 3, 2021.
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- Totton Heffelfinger (2013). "Long Division Techniques - Chinese Suan Pan". 算盤 Abacus: Mystery of the Bead. Archived from the original on August 3, 2021.
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- Totton Heffelfinger (2013). "Chinese Division Rules on a Soroban". 算盤 Abacus: Mystery of the Bead. Archived from the original on August 3, 2021.
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- Totton Heffelfinger (2004). "Traditional Multiplication techniques for Chinese Suan Pan - The "Extra Bead" and the "Suspended Bead"". 算盤 Abacus: Mystery of the Bead. Archived from the original on August 1, 2021.
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- Totton Heffelfinger (2013). "Suan Pan and the Unit Rod - Multiplication". 算盤 Abacus: Mystery of the Bead. Archived from the original on August 1, 2021.
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- Cabrera, Jesús (2021), jccAbacus, retrieved 4 August 2021
From Chen's thesis
[edit | edit source]- An Zhizhai 安止齋, Xiangming Suanfa 詳明算法 (Méthodes de calcul expliquées en détail),1373. Edition de Zhongguo kexue zhishu dianji tonghui 中國科學技 術典籍 通彙. Guo Shuchun 郭書春 et al (eds.), 河南教育出版社, 1993.
- Cheng Dawei 程大位, Suanfa Tongzong 算法統宗 (Traité systématique des méthodes de calcul), 1592. Edition de Zhongguo kexue zhishu dianji tonghui 中國科學技術典籍通彙, 1993.
- Endô Toshisada 遠藤利貞, Sankajutsu jugyôsho 算顆術授業書 (Manuel de l’art des boules de calcul), 1875. 東京, 東京師範学校. National Diet Library Digitized Contents Database.
- Fang Zhongtong 方 中 通 , Shu du yan 數 度 衍 , 1661. China-America Digital Academic Library (CADAL).
- Fujiwara Tokufû 藤原徳風, Jitoku shôkei kôyô sanhô taizen 自得捷径広用算法大全 (Etude complète et raccourci pour l’acquisition des méthodes usuelles de calcul), 1825. Tohoku University Library Wasan Database.
- Huang Longyin 黃龍吟, Suanfa Zhinan 算法指南 (Guide des méthodes de calcul), 1604. Edition de Zhongguo kexue zhishu dianji tonghui 中國科學技術典籍通彙, 1993.
- Inoue Shinryô 井 上 親 亮 , Shuzan hykunichi sanbôsho 珠 算 百 日 算 法 書 (Ouvrage des méthodes de calcul à l’aide du boulier en cent jours), 1885. 東京, 金港堂. National Diet Library Digitized Contents Database.
- Jia Heng 賈 亨 , Suanfa Quannengji 算 法 全 能 集 (Recueil des méthodes mathématiques omnipotentes). Zhongguo kexue zhishu dianji tonghui 中國科學技術典籍通彙, 1993.
- Kawamura Kanji 川村貫治, Shinben shuzan teiyou 新編珠算提要 (Nouvelle compilation des points essentiels du calcul à l’aide du boulier), 1917. 東京, 宝文館.
- Ke Shangqian 柯尚遷, Shuxue Tonggui 數學通軌 (Règles générales des mathématiques), 1578. Edition de Zhongguo kexue zhishu dianji tonghui 中國科學技術典籍通彙, 1993.
- Li Changmao 李長茂, Suanhai shuixiang 算海說詳 (Explication détaillée du calcul de l’océan), 1659. China-America Digital Academic Library (CADAL).
- Li Gong 李塨, Xiaoxue Jiye 小學稽業 (Cours de la petite étude), 1705. 北京, 中華書局, 1985.
- Matsuoka Yoshikazu 松岡能一, Sangaku keiko taizen 算学稽古大全 (Etude complète de la science du calcul), 1808. Tohoku University Library Wasan Database.
- Okuda Yûeki 奥田有益, Shinpen sanpô kaiseiroku 新編算法改正録 (Nouvelle compilation de la révision des méthodes de calcul), 1706. Tohoku University Library Wasan Database.
- Seki Takakazu 関孝和, Takebe Katahiro 建部賢弘 et Takebe Kataaki 建部賢明, Taisei sankei 大成算經 (Classique accompli de mathématiques), 1710. Tohoku University Library Wasan Database.
- Shen Shigui 沈士桂, Jianjie Yiming Suanfa 簡捷易明算法 (Méthodes de calcul concises rapides et claires), 1704. Tohoku University Library Wasan Database.
- Takeda Shingen 武田真元, Shingen sanpô 真元算法 (Méthodes de calcul de Shingen), 1844. Tohoku University Library Wasan Database.
- Takenuki Toyota 竹貫登代多 , Shinsen shuzan kyôkasho 新撰珠算教科書 (Nouvelle rédaction du manuel du calcul à l’aide du boulier), 1886. 東京, 攻玉社. National Diet Library Digitized Contents Database.
- Tamaoki Tetsuji 玉置哲二 et Ishibashi Umekichi 石橋梅吉 , Shuzan seigi 珠算精義 (Explication détaillée du calcul à l’aide du boulier), 1913. 東京, 文永館. National Diet Library Digitized Contents Database.
- Tanaka Naonori 田中矢徳, Shuzan kyôkasho 珠算教科書 (Manuel du calcul à l’aide du boulier), 1896. 東京, 共益商社. National Diet Library Digitized Contents Database.
- Wang Wensu 王文素, Suanxue Baojian 算學寶鑑 (Miroir de trésor de la science du calcul), 1524. Edition de Zhongguo kexue zhishu dianji tonghui 中國科學技術典籍通彙, 1993.
- Wu Jing 吳敬, Jiuzhang Suanfa Leibi Daquan 九章算法比類大全 (Somme classifiée des méthodes mathématiques en neuf chapitres), 1450. Edition de Zhongguo kexue zhishu dianji tonghui 中國科學技術典籍通彙, 1993.
- Xu Xinlu 徐心魯, Panzhu Suanfa 盤珠算法 (Méthodes de calcul des boules et du plateau), 1573. Edition de Zhongguo kexue zhishu dianji tonghui 中國科學技術典籍通彙, 1993.
- Yang Hui 楊 輝 , Chengchu Tongbian Benmo 乘 除 通 變 本 末 (Des variations sur la multiplication et la division), 1274. Edition de Zhongguo kexue zhishu dianji tonghui 中國科 學技術典籍通彙, 1993.
- Zhu Shijie 朱士傑, Suanxue Qimong 算學啟蒙 (Initiation à la science du calcul). Edition de Zhongguo kexue zhishu dianji tonghui 中國科學技術典籍通彙, 1993. Mathematical Illustration (Suànxué Qǐméng, 算學啟蒙) by Zhū Shìjié 朱士傑 (1299)