Methods and Logic of Mathematics in Pre-modern Japan
| Project/Area Number |
22540155
|
|---|
| Research Category |
Grant-in-Aid for Scientific Research (C)
|
| Allocation Type | Single-year Grants |
|---|
| Section | 一般 |
|---|
| Research Field |
General mathematics (including Probability theory/Statistical mathematics)
|
|---|
| Research Institution | Yokkaichi University |
|---|
Principal Investigator |
OGAWA Tsukane 四日市大学, 環境情報学部, 教授 (90204081)
|
|---|
| Co-Investigator(Kenkyū-buntansha) |
MORIMOTO Mitsuo 四日市大学, 関孝和数学研究所, 副所長 (80053677)
|
|---|
| Project Period (FY) |
2010-04-01 – 2015-03-31
|
| Project Status |
Completed (Fiscal Year 2014)
|
| Budget Amount *help |
¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2014: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2013: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2012: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2011: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2010: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
|
|---|
| Keywords | 関孝和 / 建部賢弘 / 建部賢明 / 大成算経 / 至誠賛化流 / 同文算指 / 日本数学史 / 国際研究者交流（中国，韓国） / 近世日本数学史 / 淇澳集 / 円理 |
|---|
| Outline of Final Research Achievements |
Analyzing the annual reports of the Shisei Sanka school, the "Kiou Shu," which include a lot of problems proposed by the pupils, I confirmed that they had tried to maintain their prestige by collecting difficult problems but there had been no remarkable development in their mathematical skill. It means that they enjoyed mathematics as a stereotypical hobby only.
The representative mathematicians in pre-modern Japan, Seki Takakazu, Takebe Katahiro, and Takebe Kataakira, revealed their view of mathematics and a lot of mathematical arts in their 20 volumes of the "Taisei Sankei". But it is very difficult to understand their work because they lacked the mathematical language or means to describe their mathematics. I analyzed several volumes of this work in detail to determine this clearly.
As for the "Collected Works of Seki Takakazu", which will be published by Iwanami Shoten, I read some of his Chinese writings in Japanese and translated them into modern Japanese.
|
Report
(6 results)
Research Products
(34 results)
-
-
-
-
-
-
-
-
-
-
-
[Presentation] 建部賢弘の数学思想再訪2014
Author(s)
小川束
Organizer
京都大学数理解析研究所集会「数学史の研究」
Place of Presentation
京都大学
Year and Date
2014-09-01 – 2014-09-04
Related Report
-
-
-
-
-
-
-
-
-
-
-
-
-
[Presentation] 建部賢弘の数学観2011
Author(s)
森本光生
Organizer
九州数学史シンポジウム
Place of Presentation
九州大学大学院数理学研究院
Year and Date
2011-02-14
Related Report
-
-
[Presentation] 建部賢弘の数学哲学2010
Author(s)
森本光生
Organizer
RIMS研究集会「数学史の研究」
Place of Presentation
京都大学数理解析研究所
Year and Date
2010-08-23
Related Report
-
-
-
-
-
[Book] 数学史の研究2015
Author(s)
小川束（編者）
Total Pages
259
Publisher
京都大学数理解析研究所
Related Report
-
-
-
