- H Peng-Yoke, Biography in
*Dictionary of Scientific Biography*(New York 1970-1990).

http://www.encyclopedia.com/doc/1G2-2830902643.html

**Books:**

- J-C Martzloff,
*A history of Chinese mathematics*(Berlin-Heidelberg, 1997). - J-C Martzloff,
*Histoire des mathématiques chinoises*(Paris, 1987). - K Shen, J N Crossley and A W-C Lun,
*The nine chapters on the mathematical art : Companion and commentary*(Beijing, 1999).

**Articles:**

- T S Ang and F J Swetz, A Chinese mathematical classic of the third century : the 'Sea island mathematical manual' of Liu Hui,
*Historia Math.***13**(2) (1986), 99-117. - S S Bai, A re-examination of a ring area problem in the 'Jiu zhang suanshu' (Chinese),
*Beijing Shifan Daxue Xuebao***30**(1) (1994), 139-142. - E I Berezkina (trs.), Two texts of Liu Hui on geometry (Russian), in
*Studies in the history of mathematics, No.***19**(Russian) (Moscow, 1974), 231-273. - K Chemla, Different concepts of equations in 'The nine chapters on mathematical procedures' and in the commentary on it by Liu Hui (3rd century),
*Historia Sci. (2)***4**(2) (1994), 113-137. - K Chemla, Relations between procedure and demonstration : Measuring the circle in the 'Nine chapters on mathematical procedures' and their commentary by Liu Hui (3rd century), in
*History of mathematics and education: ideas and experiences (Essen, 1992)*(1996), 69-112. - C Cullen, Learning from Liu Hui? A different way to do mathematics,
*Notices Amer. Math. Soc.***49**(7) (2002), 783-790.

http://www.ams.org/notices/200207/comm-cullen.pdf - J W Dauben, The 'Pythagorean theorem' and Chinese mathematics : Liu Hui's commentary on the gou-gu theorem in Chapter Nine of the 'Jiu zhang suan shu', in
*Amphora*(Basel, 1992), 133-155. - Y Z Dong and Y Yao, The mathematical thought of Liu Hui (Chinese),
*Qufu Shifan Daxue Xuebao Ziran Kexue Ban***13**(4) (1987), 99-108. - L S Feng, 'Jiu zhang suanshu' and Hui Liu's theory of similar right triangles (Chinese), in
*Collected research papers on the history of mathematics,*Vol.**1**(Chinese) (Hohhot, 1990), 37-45. - D W Fu, Why did Liu Hui fail to derive the volume of a sphere?,
*Historia Math.***18**(3) (1991), 212-238. - S C Guo, Liu Hui's great contributions to mathematics : celebrating the 1720th anniversary of his commentary on the 'Jiu zhang suanshu' (Chinese),
*Math. Practice Theory*(3) (1983), 75-79. - X H Guo, On Liu Hui's 'qiyan method' (Chinese),
*J. Central China Normal Univ. Natur. Sci.***20**(3) (1986), 400-408. - W S Horng, How did Liu Hui perceive the concept of infinity : a revisit,
*Historia Sci.*(2)**4**(3) (1995), 207-222. - D Liu, A comparison of Archimedes' and Liu Hui's studies of circles, in
*Chinese studies in the history and philosophy of science and technology***179**(Dordrecht, 1996), 279-287. - R Mei, Liu Hui's theories of mathematics, in
*Chinese studies in the history and philosophy of science and technology***179**(Dordrecht, 1996), 243-254. - S K Mo, 'Jiuzhang suanshu' ('Nine chapters on the mathematical art') and Liu Hui's commentary (Chinese),
*Stud. Hist. Nat. Sci.***19**(2) (2000), 97-113. - H H Shou, L G Liu and G J Wang, An offset approximation algorithm based on Liu Hui's circle subdivision method (Chinese),
*Appl. Math. J. Chinese Univ. Ser. A***17**(1) (2002), 105-112. - P D Straffin Jr, Liu Hui and the first golden age of Chinese mathematics,
*Math. Mag.***71**(3) (1998), 163-181. - A Volkov, Calculation of pi in ancient China : from Liu Hui to Zu Chongzhi,
*Historia Sci.*(2)**4**(2) (1994), 139-157. - D B Wagner, A proof of the Pythagorean theorem by Liu Hui (third century AD),
*Historia Math.***12**(1) (1985), 71-73. - D B Wagner, An early Chinese derivation of the volume of a pyramid : Liu Hui, third century AD,
*Historia Math.***6**(2) (1979), 164-188. - X Q Wang, Elementary studies on pi in France in the 17th - 19th centuries and Liu Hui's cyclotomic rule (Chinese),
*J. Zhejiang Univ. Sci. Ed.***30**(1) (2003), 1-6. - Z W Xi and S L Zhang, On the characteristic of the dialectical thought of the 'Jiu zhang suanshu' and Hui Liu's commentary (Chinese),
*Qufu Shifan Daxue Xuebao Ziran Kexue Ban***19**(4) (1993), 103-110. - S C Yang, 'Ratio' and 'power' in Hui Liu's commentary on the 'Jiu zhang suan shu' ('Arithmetic in nine chapters') (Chinese),
*Dongbei Shida Xuebao*(4) (1990), 39-43.

The URL of this page is:

http://www-history.mcs.st-andrews.ac.uk/References/Liu_Hui.html