Xu, Zelin (Author)
Abstract This article analyzes the background for the emergence of nationalism and the historical origin of national historiography in East Asia, and discusses the research trend and influence of compiling the history of mathematics in a certain country subjected to national historiography. (1)From the national point of view, the independence and identity of a country are stressed. Therefore, the unique and concrete achievements of national mathematics are attached to with greater importance, and the integrity and homogeneity of mathematics in East Asia are often neglected. (2) Taking Western mathematics as a standard, the Whiggish tendency of historical research plays a vital role in defending the superiority of national scientific culture. (3) Attach importance to investigation of internal history, ignore the external history. In order to get rid of the above negative influence caused by national mathematical history, the article brings forward the viewpoint of integration of mathematics in East Asia, so that mathematics in East Asia can be looked upon as a constantly developing unity and surpassing nations, Mathematics in East Asia can be surveyed in the light of Confucian culture and even the culture of Chinese characters. So long as taking mathematics in China, Japan and Korea (including Vietnam) into account as a whole, the thought, spirit and knowledge system of mathematics in East Asia might be understood in an all-round way. Key words nationalism, mathematics in East Asia, historiography of mathematics
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