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* © 2014 Joseph W. Dauben. Used with permission. † This article is based on a lecture presented in September of 2012 at the Fairbank Center for Chinese Studies at Harvard University, which was based on a lecture first given at National Taiwan Tsinghua University (Hsinchu, Taiwan) in the Spring of 2012. I am grateful to Thomas Lee of National Chiaotung University of Taiwan where I spent the academic year 2012 as Visiting Research Professor at Chiaota’s Institute for Humanities and Social Sciences, which provided support for much of the research reported here, and to Shuchun GUO, Wannsheng HORNG, Kwangtai HSU, Alexei Volkov, and Dahai ZOU for helpful comments that have been incorporated in the version of the lecture published here. Readers should note that throughout the text, the order of Chinese names follows the convention of the ICCM Notices, with family names following given names; historical names prior to the twentieth century, however, are given in their usual Chinese order, i.e. LIU Hui and SIMA Qian, with the family name given in capital letters. ‡ Department of History, Herbert H. Lehman College, City University of New York; and Ph.D. Program in History, The Graduate Center, City University of New York E-mail: jdauben@gc.cuny.edu texts currently being conserved and studied at Tsinghua University and Peking University in Beijing, the Yuelu Academy in Changsha, and the Hubei Museum in Wuhan, it is possible to shed new light on the history of early mathematical thought and its applications in ancient China. Also discussed here are developments of new techniques and justifications given for the problems that were a significant part of the growing mathematical corpus, and which eventually culminated in the comprehensive Nine Chapters on the Art of Mathematics.

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The Evolution of Mathematics in Ancient China: From the Newly Discovered &lt;i&gt;Shu&lt;/i&gt; and &lt;i&gt;Suan shu shu&lt;/i&gt; Bamboo Texts to the Nine Chapters on the Art of Mathematics