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| ファイル | 記述 | サイズ | フォーマット | |
|---|---|---|---|---|
| B71-01.pdf | 8.67 MB | Adobe PDF | 見る/開く |
| タイトル: | ニュートンの『解析について』 (数学史の研究) |
| その他のタイトル: | Isaac Newton's $De$ $Analysi$ (The study of the history of mathematics 2017) |
| 著者: | 長田, 直樹  |
| 著者名の別形: | Osada, Naoki |
| キーワード: | 01A45 History of Mathematics Isaac Newton affected equation Newton method Nicolaus Mercator |
| 発行日: | Dec-2018 |
| 出版者: | Research Institute for Mathematical Sciences, Kyoto University |
| 誌名: | 数理解析研究所講究録別冊 |
| 巻: | B71 |
| 開始ページ: | 1 |
| 終了ページ: | 20 |
| 抄録: | Isaac Newton gives three rules for quadrature in his De Analysi per aequationes numero terminorum infinitas (1669). First we read Nicolaus Mercator's Logarithmotechnia (1668) which gives Newton a chance to write De Analysi, and we compare Mercator's study on computation of logarithms with that by Newton. Next we consider the three rules in De Analysi. In particular, we compare operations in decimal numbers with those in literals (general variables). Moreover we also clarify the meanings of "p and x separately are of least dimension" and "x and y either separately or multiplied together are of the most and equal dimensions everywhere" in the literal resolution of affected equations. |
| 記述: | "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. |
| 著作権等: | © 2018 by the Research Institute for Mathematical Sciences, Kyoto University. All rights reserved. |
| URI: | http://hdl.handle.net/2433/244720 |
| 出現コレクション: | B71 The study of the history of mathematics 2017 |
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