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Chinese mathematics
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== Qing dynasty == Under the [[Kangxi Emperor]], who learned Western mathematics from the Jesuits and was open to outside knowledge and ideas, Chinese mathematics enjoyed a brief period of official support.{{sfn|Martzloff|1987|pp=25β28}} At Kangxi's direction, [[Mei Goucheng]] and three other outstanding mathematicians compiled a 53-volume work titled ''Shuli Jingyun'' ("The Essence of Mathematical Study") which was printed in 1723, and gave a systematic introduction to western mathematical knowledge.<ref>{{Cite journal |last1=Han Qi |author-link=Catherine Jami |last2=Jami |first2=Catherine |date=2003 |title=The Reconstruction of Imperial Mathematics in China During the Kangxi Reign (1662-1722) |url=https://brill.com/view/journals/esm/8/2/article-p88_2.xml |journal=Early Science and Medicine |volume=8 |issue=2 |pages=88β110 |doi=10.1163/157338203X00026 |issn=1383-7427}}</ref> At the same time, Mei Goucheng also developed to ''Meishi Congshu Jiyang'' [The Compiled works of Mei]. ''Meishi Congshu Jiyang'' was an encyclopedic summary of nearly all schools of Chinese mathematics at that time, but it also included the cross-cultural works of [[Mei Wending]] (1633β1721), Goucheng's grandfather.<ref>{{Cite book |last=Jami |first=Catherine |title=The Emperor's New Mathematics: Western Learning and Imperial Authority During the Kangxi Reign (1662-1722) |date=2011-12-01 |publisher=Oxford University Press |isbn=9780199601400 |pages=82β101 |chapter=A mathematical scholar in Jiangnan: The first half-life of Mei Wending |doi=10.1093/acprof:oso/9780199601400.003.0005 |author-link=Catherine Jami |access-date=2018-07-28 |chapter-url=https://oxfordscholarship.com/view/10.1093/acprof:oso/9780199601400.001.0001/acprof-9780199601400-chapter-5}}</ref><ref>{{Cite book |last=Elman |first=Benjamin A. |title=On their own terms: science in China, 1550-1900 |date=2005 |publisher=Harvard University Press |isbn=9780674036475 |location=Cambridge, Mass. |oclc=443109938}}</ref> The enterprise sought to alleviate the difficulties for Chinese mathematicians working on Western mathematics in tracking down citations.{{sfn|Martzloff|1987|p=28}} In 1773, the [[Qianlong Emperor]] decided to compile the ''[[Complete Library of the Four Treasuries]]'' (or ''Siku Quanshu''). Dai Zhen (1724β1777) selected and proofread ''[[The Nine Chapters on the Mathematical Art]]'' from ''[[Yongle Encyclopedia]]'' and several other mathematical works from Han and Tang dynasties.<ref>{{Cite book |last=Minghui |first=Hu |title=China's transition to modernity : the new classical vision of Dai Zhen |date=2017-02-14 |isbn=978-0295741802 |location=Seattle |oclc=963736201}}</ref> The long-missing mathematical works from Song and Yuan dynasties such as ''Si-yΓΌan yΓΌ-jian'' and ''[[Ceyuan haijing]]'' were also found and printed, which directly led to a wave of new research.{{sfn|Martzloff|1987}} The most annotated works were ''Jiuzhang suanshu xicaotushuo'' (The Illustrations of Calculation Process for ''The Nine Chapters on the Mathematical Art'' ) contributed by Li Huang and Siyuan yujian xicao (The Detailed Explanation of Si-yuan yu-jian) by Luo Shilin.<ref>{{Cite book |last=Catherine |first=Jami |title=The emperor's new mathematics : Western learning and imperial authority during the Kangxi Reign (1662-1722) |date=2012 |publisher=Oxford University Press |isbn=9780191729218 |location=Oxford |oclc=774104121 |author-link=Catherine Jami}}</ref>
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