Abstract
Gu Yingxiang (顧應祥) (1483-1565) was a major Chinese mathematician in the sixteenth century. Since the end of the eighteenth century, however, he has usually been regarded as a mediocre figure, one who merely represents the decline of mathematics during the Ming Dynasty (1368-1644).
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Bibliography
[Chemla 1993] Chemla, Karine (1993). Textual Structure of Li Ye’s Sea Mirror of Circle Measurement and Expression of Mathematical Knowledge, in Li Di ed., Shuxue Shi Yanjiu Wenji Vol. V. Huhhot: Inner Mongolia University Press / Taipei: Jiu Zhang Press, 1993, 122-140.
[Dauben 2007] Dauben, Joseph, Chinese Mathematics, in The Mathematics of Egypt, Mesopotamia, China, India, and Islam: A Sourcebook, Victor Katz, ed., Princeton: Princeton University Press, pp.187-384.
[Gu 1550/1993] Gu Yingxiang (1550/1993). Ceyuan haijing fenlei shishu (Categorizing and Annotating on the Sea Mirror of Circle Measurement), in Guo Shuchun ed., Zhongguo Kexue Jishu Dianji Tonghui (Shuxue juan) (Selected works of Chinese Science and Technology (mathematics section). Zhengzhou (鄭卅): Henan Education Press, 1993, pp. 995-1078.
[Gu 1553/1993] Gu Yingxiang (1553/1993). Ceyuan Suanshu (Calculation Procedure Circle Measurement), in Guo Shuchun ed., Zhongguo Kexue Jishu Dianji Tonghui (Shuxue juan) (Selected works of Chinese Science and Technology (mathematics section). Zhengzhou: Henan Education Press, 1993, pp. 1109-1140.
[Guo 2001a] Guo Shirong (2001a). La perdita della conoscenze matematiche e astronomiche, Sandro Petruccioli ed., Storia della scienza, Roma, Istituto della Enciclopdia Italiana, v. II.
[Guo 2001b] Guo Shirong (2001b). The Influence of Yang Hui’s Works on the Mathematical Mainstream in the Ming Dynasty, in Alan K. L. Chan, Gregory K. Clancey & Hui-Chieh Loy eds., Historical Perspectives on East Asian Science, Technology and Medicine, Singapore: World Scientific, 2001, pp. 358-367.
[Guo 2002] Guo Shirong (2002). On the Problem of the Lost of Mathematical and Astronomical Knowledge, France Sinology (法國漢學), vol. 6, 2002, 320-335.
[Guo 2010] Guo Shirong (2010). The Transformation of the Mathematical Mainstream and the Development of Abacus, in Guo Shuchun ed., History of Science and Technology in China (Mathematics), Beijing: Science Press, 2010, pp. 511-610.
[Guo 2013] Guo Shirong (2013). The Axes of Mathematical Methodology in the Song and Yuan Dynasties: the Construction of Mathematical Models,in Eberhard Knobloch, Hikosaburo Komatsu, and Liu Dun eds., Seki, Founder of Modern Mathematics in Japan, A Commemoration on His tercentenary, Springer 2013, pp.105-118.
[Hua 1987] Hua Yinchun (1987). A History of Chinese Abacus (in Chinese). Beijng: China Financial Press, 1987.
[Kong 1988] Kong Guoping (1988). Biography of Li Ye (in Chinese). Hebei Education Press, 1988.
[Li 1991] Li Di (1991). On the Changes of Mathematics in Song and Yuan dynasties (in Chinese), inSelected Papers on the History of Science and Technology in China (1). Huhhot: Inner Mongolia Education Publishing House, 1991, pp. 219-233.
[Li 1954] Li Yan (1954). Chinese Mathematicians’Theories for the Arc and Sagitta (in Chinese), in Li Yan, Zhongsuanshi luncong (中算史論叢) Vol. 2 Beijing: Science Press, 1954.
[Ma 1993] Ma Xiang (1993). Summary to the Ceyuan suanshu, in Guo Shuchun ed., Zhongguo Kexue Jishu Dianji Tonghui (Shuxue juan) (Selected works of Chinese Science and Technology (mathematics volume II). Zhengzhou: Henan Education Press, 1993. Vol. 2, pp. 2-1107.
[Needham and Wang 1955] Needham, Joseph and Wang Ling (1955). Horner’s Method in Chinese Mathematics: Its Origins in Root-Extraction Procedures of the Han Dynasty, T’oung Pao XLIII, 345 (1955).
[Ruan 1798] Ruan Yuan (1798). Preface to the Reprinted Cenyuan Haijing, collected in Zhibuzu Zhai Congshu (知不足齋叢書), 1798.
[Qian 1966] Qian Baocong (1966). Zengcheng kaifangfa de lishi fazhan (The Historical Development of Root-extraction by Iterated Multiplicatoin, in Song-Yuan Shuxue Shi Lunwen Ji (Papers on the History of Song-Yuan Mathematics in China). Beijing: Science Press, 1966.
[Wang 2002] Wang Lianfa (2002). Gu Yingxian: A High Officer and Mathematician, HPM Tongxun 5(5) (2002), 10-15.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Shirong (郭世榮), G. (2015). Gu Yingxiang’s Method of Solving Numerical Equations with the Abacus. In: Rowe, D., Horng, WS. (eds) A Delicate Balance: Global Perspectives on Innovation and Tradition in the History of Mathematics. Trends in the History of Science. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-12030-0_15
Download citation
DOI: https://doi.org/10.1007/978-3-319-12030-0_15
Published:
Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-12029-4
Online ISBN: 978-3-319-12030-0
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)