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On problems on arrow bundles in the Siyuan Yuqian (Study of the History of Mathematics 2021)
No full textこのノートは、2021年2月2日に数理解析研究所での講演（『四元玉鑑』と『四元玉鑑細草』について）の記録である。RIMS共同研究（公開型）『数学史の研究』の報告集（RIMS Kôkyûroku Bessatsu B85) に載せることになっていたが、原稿の完成が締め切りに間に合わず、今回の講究録に載せて頂くことになった
On Volume 3 of the Taisei Sankei (Study of the History of Mathematics 2021)
No full textSeki Takakazu, Takebe Kata'akira and Takebe Katahiro compiled the 20 volumes encyclopedia called the Taisei Sankei for 28 years (1683-1710). The first three volumes treat elementary arithmetic. We will review these volumes with special attention to Volume 3. This volume can be divided in two parts. We will show how fundamental rules of arithmetic were conceived and expressed in the traditional Chinese format of problem-answer-procedure in the first part of Volume 3. We will discuss then how Takebe Kataakira constructed the second part of Volume 3 on the basis of Seki Takakazu's two notes, the Kaihō-sanshiki and the Kaihō-honhen-no-hō
On Part A of the Taisei Sankei (Study of the History of Mathematics)
No full text"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.The Taisei Sankei(1711) is a huge monograph of about 1800 pages, in which Seki Takakazu (ca.1642-1708), Takebe Kata akira (1661-1716) and Takebe Katahiro (1664-1739) expounded systematically on all the mathematics known to them. On October 23, 2010, the Nagoya seminar on history of mathematics started a project to read through the Taisei Sankei and translate it into modern Japanese, and then hopefully into English (See [36]). The Chinese book Nine Chapters on Arithmetic was translated into French (See [1]) and Takebe Katahiro s Taisei Sankei into English (See [42]); these are some recent examples of the translation of books on traditional mathematics of East Asia into modern European languages. As the Taisei Sankei was written in classical Chinese, for Japanese scholars it is necessary to translate the original text into modern Japanese to understand its mathematics and its philosophy on mathematics. The Taisei Sankei is composed of an Introduction and 20 volumes, which are divided into three Parts: Part A (volumes 1-3), Part B (volumes 4-15), and Part C (volumes 16-20). To grasp the structure of the book we have to fully understand the Introduction (especially, its first section On Mathematics ) and the first volume of each Part. In this paper we give an overview of the Taisei Sankei and then translate the key points of Part A directly into modern Japanese. We translated Volume 4 into modern Japanese in [36] and will publish the translation of Volume 16 in a forthcoming paper
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