本文關(guān)鍵詞：20世紀(jì)上半葉日本學(xué)者對(duì)中國(guó)數(shù)學(xué)史的研究　出處：《內(nèi)蒙古師范大學(xué)》2015年博士論文　論文類型：學(xué)位論文

  更多相關(guān)文章： 中國(guó)數(shù)學(xué)史 三上義夫 林鶴一 藤原松三郎 小倉(cāng)金之助

【摘要】：20世紀(jì)上半葉日本學(xué)者對(duì)中國(guó)數(shù)學(xué)史的研究具有較高水平,無(wú)論是對(duì)內(nèi)容的理解還是對(duì)方法論的創(chuàng)新,他們的研究在東亞乃至世界科學(xué)史界都具有引領(lǐng)作用。本文選取20世紀(jì)上半葉具有代表性的四位日本學(xué)者:三上義夫、林鶴一、藤原松三郎和小倉(cāng)金之助為研究對(duì)象,通過(guò)考察他們有關(guān)中國(guó)數(shù)學(xué)史的研究及其主要成果,探討他們對(duì)中國(guó)數(shù)學(xué)史研究所產(chǎn)生的影響和深遠(yuǎn)意義。本文在前人工作的基礎(chǔ)上,利用文獻(xiàn)研究法、個(gè)案研究法、比較研究法和綜合研究法,基于原始文獻(xiàn),解讀了三上義夫、林鶴一、藤原松三郎和小倉(cāng)金之助關(guān)于中國(guó)數(shù)學(xué)史研究的重要論著。本文共分六章。第1章緒論,說(shuō)明了研究目的與意義、研究問(wèn)題、文獻(xiàn)綜述、所采用的研究方法及擬創(chuàng)新之處。第2章論述了三上義夫?qū)χ袊?guó)數(shù)學(xué)史的研究。通過(guò)對(duì)他的代表作《中日數(shù)學(xué)發(fā)達(dá)史》、《中國(guó)算學(xué)之特色》的介紹,基于他對(duì)《九章算術(shù)》劉徽注、宋元時(shí)期的天元術(shù)、四元術(shù)、招差法以及清代割圓術(shù)和《疇人傳》等的研究,對(duì)比中國(guó)學(xué)者的研究成果,分析三上的成就主要體現(xiàn)在:1、對(duì)中國(guó)數(shù)學(xué)史走向世界做了開(kāi)創(chuàng)性工作。2、在一定程度上糾正了西方學(xué)者關(guān)于中國(guó)數(shù)學(xué)的某些偏見(jiàn)和科學(xué)史上“西方中心論”的錯(cuò)誤觀點(diǎn)。3、對(duì)中國(guó)數(shù)學(xué)史的研究發(fā)揮了引領(lǐng)作用。4、三上對(duì)中算是和算的母體認(rèn)識(shí)深刻,對(duì)和算與中算的關(guān)聯(lián)研究比較透徹。5、三上提出和實(shí)踐了從文化史視角研究數(shù)學(xué)史具有重要借鑒意義。第3章考察了林鶴一和藤原松三郎對(duì)中國(guó)數(shù)學(xué)史的研究工作�？疾炝助Q一對(duì)弧背綴術(shù)和圓周率的研究、對(duì)“幾何”和“代數(shù)”詞源的研究、對(duì)中國(guó)素?cái)?shù)問(wèn)題的研究,指出其成就主要體現(xiàn)在用現(xiàn)代數(shù)學(xué)來(lái)介紹中算成果,并將其與日本、西方的相關(guān)成果進(jìn)行比較、聯(lián)系,指出林鶴一是從數(shù)學(xué)家的角度研究數(shù)學(xué)史的。梳理了藤原松三郎對(duì)《楊輝算法》和《算法統(tǒng)宗》中方程式解法的研究及其對(duì)宋元明數(shù)學(xué)史史料的研究。他的成就主要體現(xiàn)在:1、對(duì)中算典籍的整理,特別是宋元明數(shù)學(xué)史料的整理做出了貢獻(xiàn),發(fā)現(xiàn)了我國(guó)未見(jiàn)到的史料《新鐫啟蒙便用九章算法全書》和《新鐫九龍易訣算法》。2、用現(xiàn)代數(shù)學(xué)對(duì)中算進(jìn)行算法闡釋。第4章分析小倉(cāng)金之助對(duì)中國(guó)數(shù)學(xué)史的研究。通過(guò)對(duì)小倉(cāng)的論文《中國(guó)數(shù)學(xué)的特殊性》、《中國(guó)數(shù)學(xué)的社會(huì)性》、《極東數(shù)學(xué)國(guó)際化與產(chǎn)業(yè)革命》的分析,指出他的成就主要體現(xiàn)在:注重研究數(shù)學(xué)的社會(huì)性,從數(shù)學(xué)知識(shí)的研究演變到文化背景、社會(huì)史的研究,比中國(guó)同時(shí)代的數(shù)學(xué)史研究者的視野更加寬廣。第5章對(duì)日本學(xué)者的數(shù)學(xué)史研究方法進(jìn)行了探討。概括出三上既從內(nèi)史的角度研究中國(guó)數(shù)學(xué)史,又從文化史的角度研究和算史;林鶴一和藤原松三郎從內(nèi)史的角度研究中國(guó)數(shù)學(xué)史;小倉(cāng)首次從社會(huì)史的角度研究中國(guó)數(shù)學(xué)史。三上和小倉(cāng)在方法論上的創(chuàng)新,在國(guó)際數(shù)學(xué)史界具有重要的意義。第6章為結(jié)語(yǔ),對(duì)于四位學(xué)者研究中國(guó)數(shù)學(xué)史的動(dòng)因、成就與不足、與我國(guó)學(xué)者的交流以及對(duì)中日學(xué)者的影響做了總結(jié)。主要結(jié)論如下:1.明治維新后,日本決定廢和算、學(xué)洋算,因而和算日益衰退。日本數(shù)學(xué)史家三上、數(shù)學(xué)家林鶴一、藤原,數(shù)學(xué)教育家小倉(cāng)是在這種時(shí)代背景下研究和算的,某種意義上是為了保護(hù)民族傳統(tǒng)文化。他們的知識(shí)結(jié)構(gòu)不同,所以他們的研究視角和研究方法不同。2.他們從事的現(xiàn)代意義上的中國(guó)數(shù)學(xué)史研究具有開(kāi)創(chuàng)性,而從文化史的或社會(huì)史的視角來(lái)研究數(shù)學(xué)史,也屬于科學(xué)史領(lǐng)域外史研究方面的先驅(qū)性工作,在科學(xué)編史學(xué)方面具有重要意義。3.他們深厚的數(shù)學(xué)功底,較強(qiáng)的中文文獻(xiàn)解讀能力以及使用西方語(yǔ)言發(fā)表數(shù)學(xué)史論文對(duì)在世界范圍內(nèi)傳播和推動(dòng)中國(guó)數(shù)學(xué)史研究發(fā)揮了重要作用。4.他們與我國(guó)學(xué)者的交流,推動(dòng)了中國(guó)數(shù)學(xué)史的研究。他們的研究工作對(duì)中日學(xué)者都產(chǎn)生了深遠(yuǎn)影響。
[Abstract]:Study on the history of mathematics in the first half of the twentieth Century China Japanese scholars have higher level, whether it is the understanding of the content of the innovation of methodology, their research has a leading role in East Asia and the world history of science circles. This paper selects four representative of Japanese scholars in the first half of the twentieth Century: Mikami Yoshio, Lin an Fujiwara Matsumiro and Okura Kimnosuke, as the research object, through the investigation of their research on the history of mathematics Chinese and its major achievements, to explore the influence they produced to the research of the history of mathematics Chinese and far-reaching significance. Based on the former manual, using the literature research method, case study method, comparative study method and comprehensive research method, based on the original the interpretation of the literature, Mikami Yoshio, Lin, Fujiwara Matsumiro and Okura Kimnosuke on the important works in the history of Chinese mathematics. This paper is divided into six chapters. The first chapter explains The purpose and significance of the research, research questions, literature review, research methods and innovations. The second chapter discusses the research on the history of mathematics China Mikami Yoshio. Through "Mathematics in the development history of his representative < >, > the Chinese characteristics of mathematics, based on his nine chapter arithmetic < > Liu Hui, the song and Yuan Dynasties, Tianyuan was four yuan, recruit graduate difference method and Qing cyclotomy and people pass the domain < >, research achievements of comparative analysis of three Chinese scholars, the achievement is mainly reflected in: 1, the history of mathematics to the world Chinese do pioneering work in.2. Extent corrected by western scholars China mathematics certain prejudices and the history of science," western center theory "views of.3, the study of the history of mathematics China played a leading role on the three.4, is the parent and a profound understanding of and an association study and comparison of calculation Through.5, three proposed and practice has important significance from the cultural history perspective on the history of mathematics. The third chapter reviews Lin and Fujiwara Matsumiro on the history of mathematics China research. Research on Lin Pi and back arc zhuishu, research on the "geometry" and "algebra" of etymology. The Chinese prime problem, pointing out its achievement is mainly reflected in the introduction to the results of modern mathematics, and the related achievements of western Japan, compared, pointed out that Lin one is to study the history of mathematics from the angle of mathematicians. The research on the algorithm of Yang Hui < > and < > in case of the algorithm the Fujiwara Matsumiro equations and the sort of Song Yuan Ming history of mathematics history. His achievement is mainly reflected in: 1, to calculate the classics finishing, especially mathematics Yuan Ming historical materials to make a contribution to our country found no The historical enlightenment for the new "juan nine chapter book" and "the new algorithm Juan Kowloon algorithm >.2 algorithm easy tactic, interpretation of modern mathematics is used to study the history of mathematics. China Okura Kimnosuke analysis of the fourth chapter. Through the particularity of the Chinese mathematics Ogura < >, < > social Chinese mathematics." analysis of East mathematics internationalization and industrial revolution ", pointed out that his achievement is mainly reflected in: pay attention to social research in mathematics, from the evolution of mathematical knowledge to the cultural background, the research of social history, history of mathematics Chinese than at the same time the broader horizons. The fifth chapter of Japanese scholars in the history of mathematics methods are discussed. Summarize three both from the point of the history of the study of history of mathematics Chinese, and from the angle of cultural history and history of Lin and Fujiwara Matsumiro; a study on the history of mathematics from the perspective of the history of China; for the first time from the angle of social history, Study on the history of mathematics. The three degree Chinese and Ogura innovation in methodology, has important significance in the history of the international mathematical community. The sixth chapter is the conclusion, motivation for the four scholars study China mathematics history, achievements and shortcomings, to communicate with Chinese scholars and influence on Chinese and Japanese scholars are summarized. The main conclusions are as follows: 1. after the Meiji Restoration, Japan's decision to scrap and count, and thus learn ocean is declining. Japanese historians of mathematics three, Lin Fujiwara, a mathematician, mathematics educator Ogura is research and practical in this era, the sense is to protect the traditional culture of ethnic groups. The structure of knowledge they are different, so the study of the history of mathematics study and the research methods of their different.2. they engaged in the modern China groundbreaking, and from cultural history or social history from the perspective of the history of mathematics, also belong to the field of history of Science Pioneering work on the history of the.3. has an important significance to their profound mathematical knowledge in the historiography of science, strong ability to interpret and use Chinese literature published papers on the history of mathematics in western language communication and plays an important role in their.4. and China's scholars to promote the study of history of mathematics Chinese exchanges in the world, to promote the study on the history of mathematics China. Their work had a far-reaching influence on Chinese and Japanese scholars.

【學(xué)位授予單位】：內(nèi)蒙古師范大學(xué)
【學(xué)位級(jí)別】：博士
【學(xué)位授予年份】：2015
【分類號(hào)】：O11

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