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このアイテムのファイル:
| ファイル | 記述 | サイズ | フォーマット | |
|---|---|---|---|---|
| B73-01.pdf | 5.86 MB | Adobe PDF | 見る/開く |
| タイトル: | Literal resolution of affected equations by Isaac Newton (The study of the history of mathematics 2018) |
| 著者: | Osada, Naoki |
| 著者名の別形: | 長田, 直樹 |
| キーワード: | 01A45 41A60 58C15 Isaac Newton affected equation asymptotic expansion algebraic equation Newton diagram implicit function Puiseux series |
| 発行日: | Apr-2019 |
| 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: | B73 |
| 開始ページ: | 1 |
| 終了ページ: | 20 |
| 抄録: | In 1669 and 1671, Isaac Newton resolved an algebraic equation f(x, y)=0 by expressing y as an infinite series of x . In this paper, we formulate Newton's resolution as a contemporary algorithm along the line of his original text and prove that the series converges asymptotically to the implicit function or one of the branches under certain conditions. |
| 記述: | "The study of the history of mathematics 2018". September 18-21, 2018. edited by Shigeru Jochi. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed. |
| 著作権等: | © 2019 by the Research Institute for Mathematical Sciences, Kyoto University. All rights reserved. |
| URI: | http://hdl.handle.net/2433/244750 |
| 出現コレクション: | B73 The study of the history of mathematics 2018 |
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