The Mathematical Book in Nine Chapters, written by Qin Jiushao in 1247, is a masterpiece that is representative of Chinese mathematics at that time. Most of the previous studies have focused on its mathematical achievements, while few works have addressed the counting diagrams that Qin used as a writing system. Based on a seventeenth-century copy of Qin’s treatise (i.e., Zhao Qimei’s 1616 handwritten copy), this paper systematically analyzes the writing system, which includes both a numeral system and a linear system. It argues that Qin provided a new representation of mathematics in addition to textual procedures, detailed solutions, and operations carried out with counting rods. Moreover, this new representation was used to connect mathematical practices within and outside the text and should be understood in its textual context. Therefore, Qin’s writing system represents an intermediate phase in the textualization and symbolization of Chinese mathematics in thirteenth-century China.
...More
Article
Marc Champagne;
(2019)
Diagrams and alien ways of thinking
(/isis/citation/CBB909895920/)
Article
Guo, Yuanyuan;
(2015)
A Study on Sharaf al-Dīn al-Ṭūsī’s Numerical Solution of Cubic Equations
(/isis/citation/CBB197708030/)
Article
Zha, Youliang;
(2003)
On Qin Jiushao's Thinking Method of Mathematics
(/isis/citation/CBB000340136/)
Article
Guo, Shi-rong;
(2005)
Qin Jiushao's Mathematical Treatise in Nine Chapters in Korea
(/isis/citation/CBB000503129/)
Article
Jocelyn Rodal;
(2018)
Patterned Ambiguities: Virginia Woolf, Mathematical Variables, and Form
(/isis/citation/CBB948393730/)
Article
Chemla, Karine Carole;
(2010)
Changes and Continuities in the Use of Diagrams Tu in Chinese Mathematical Writings (Third Century to Fourteenth Century)
(/isis/citation/CBB001035000/)
Article
Karine Chemla;
(2018)
The Proof Is in the Diagram: Liu Yi and the Graphical Writing of Algebraic Equations in Eleventh-Century China
(/isis/citation/CBB786651004/)
Article
Karine Chemla;
(June 2020)
On the Diagrammaticity of Ancient Texts and Its Importance for the History of Science: Based on the Example of the Early Chinese Mathematical Text The Gnomon of the Zhou
(/isis/citation/CBB471319315/)
Article
Yiwen Zhu;
(2020)
How Do We Understand Mathematical Practices in Non-Mathematical Fields? Reflections Inspired by Cases from 12th and 13th Century China
(/isis/citation/CBB123169459/)
Article
Ji, Zhigang;
Ma, Ding-ling;
(2004)
Some mathematical problems and algorithms in Fibonacci's “Liber abaci” similar to those in ancient China
(/isis/citation/CBB000503158/)
Article
Li, Zhao-hua;
(2002)
A Study on He Yuanxi's Block-Printed Edition for Precious Mirror of the Four Elements
(/isis/citation/CBB000340069/)
Article
Lupacchini, Rossella;
(2014)
Hilbert's Axiomatics as “Symbolic Form”?
(/isis/citation/CBB001213908/)
Chapter
Spaans, Joke;
(2011)
Art, Science and Religion in Romeyn de Hooghe's Hieroglyphica
(/isis/citation/CBB001201621/)
Article
Torrens, Erica;
Barahona, Ana;
(2012)
The “Tree of Life” in Textbooks and Museums
(/isis/citation/CBB001320806/)
Article
Kassell, Lauren;
(2014)
Casebooks in Early Modern England: Medicine, Astrology, and Written Records
(/isis/citation/CBB001202352/)
Article
Isabelle Draelants;
(2017)
Cinq diagrammes musicaux inédits dans le manuscrit Venezia, Bibl. Marciana, lat. VIII. 22 (2760)
(/isis/citation/CBB353193727/)
Article
Boyko Zlatev;
(2016)
On The Value And Meaning Of Proclus' Perfect Year
(/isis/citation/CBB183009905/)
Article
Minaud, Gérard;
(2006)
Des doigts pour le dire: Le comput digital et ses symboles dans l'iconographie romaine
(/isis/citation/CBB000931352/)
Article
Jonah Dutz;
Dirk Schlimm;
(2021)
Babbage’s Guidelines for the Design of Mathematical Notations
(/isis/citation/CBB487959297/)
Book
Böhlandt, Marco;
(2009)
Verborgene Zahn -- Verborgener Gott: Mathematik und Naturwissen im Denken des Nicolaus Cusanus (1401--1464)
(/isis/citation/CBB001023242/)
Be the first to comment!