著者

谷口 隆

出版者

京都大学数理解析研究所

雑誌

数理解析研究所講究録別冊 = RIMS Kokyuroku Bessatsu (ISSN:18816193)

巻号頁・発行日

vol.B25, pp.211-253, 2011-04

著者

星 裕一郎

出版者

Research Institute for Mathematical Sciences, Kyoto University

雑誌

数理解析研究所講究録別冊 = RIMS Kokyuroku Bessatsu (ISSN:18816193)

巻号頁・発行日

no.76, pp.79-183, 2019-08

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"On the examination and further development of inter-universal Teichmüller theory". March 9-20, 2015. edited by Shinichi Mochizuki. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed.In the present article, we survey the inter-universal Teichmüller theory established by Shinichi Mochizuki.

著者

星 裕一郎

出版者

京都大学数理解析研究所

雑誌

数理解析研究所講究録別冊 = RIMS Kokyuroku Bessatsu (ISSN:18816193)

巻号頁・発行日

vol.B19, pp.81-106, 2010-06

著者

小曽根 淳

出版者

Research Institute for Mathematical Sciences, Kyoto University

雑誌

数理解析研究所講究録別冊 (ISSN:18816193)

巻号頁・発行日

vol.B50, pp.109-123, 2014-06

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"Study of the History of Mathematics". August 27~30, 2012. edited by Tsukane Ogawa. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed.

著者

小曽根 淳

出版者

京都大学数理解析研究所

雑誌

数理解析研究所講究録別冊 (ISSN:18816193)

巻号頁・発行日

no.50, pp.109-123, 2014-06

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It is dominant theory that the table of trigonometric functions was first introduced into Japan in chóngzhēn-lìshū (『崇禎暦書』) on 1727. We have found a document indicating that the Dutch taught trigonometry to the Administration of the Tokugawa Shogunate in 1650. In addition, the Dutch let the Japanese copy the table of trigonometric functions and told them its meaning. Regrettably, they did not seem to understand the lecture sufficiently. In this paper, we have two purposes as follows. One is to identify the table which was used then. The second is to discuss the relationship between the 1650's table and 1727 's table. Then, we will conclude the fact that Pitiscus was the author of both tables. At last, we would like to point out that argument above is based on the 17^{mathrm{t}mathrm{h}} century data found on Google books and several University' s libraries.

著者

曽我 昇平

出版者

Research Institute for Mathematical Sciences, Kyoto University

雑誌

数理解析研究所講究録別冊 = RIMS Kokyuroku Bessatsu (ISSN:18816193)

巻号頁・発行日

no.81, pp.123-145, 2020-04

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"Study of the History of Mathematics 2019". September 2-4, 2019. edited by Naoki Osada. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed.Nakane Genkei presented a way to arrive at an 12 equal temperament by opening one octave into the 12th root in his Ritsugen-hakki [律原発揮]. His achievement was that his calculation-methods were groundbreaking at the world history level. It can be explained because he had clearly more advanced computational power than other music researchers in his era and had the ability to handle higher-order and exponential calculations freely. In this paper, I consider based on the comparison of Nakane Genkei 's Ritsugen-hakki and Cai Yuan-ding's Lülüxinshu [律呂新書]. And, I clarify the following four points by investigating historical documents. i)Why did Genkei, a famous mathematician , participate in the study of system of tuning? And what was his purpose? ii)What was the underlying mathematical thought of his pursuit? iii)What are the characteristics of the mathematics used in his pursuit? iv)What was his influence on academic research in Japan?

著者

長田 直樹

出版者

Research Institute for Mathematical Sciences, Kyoto University

雑誌

数理解析研究所講究録別冊 = RIMS Kokyuroku Bessatsu (ISSN:18816193)

巻号頁・発行日

no.71, pp.1-20, 2018-12

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"The study of the history of mathematics 2017". September 19-22, 2017. edited by Shigeru Jochi. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed.

著者

田辺 寿美枝

出版者

京都大学

雑誌

RIMS Kokyuroku Bessatsu (ISSN:18816193)

巻号頁・発行日

vol.50, pp.181-191, 2014-06