ニュートンの『解析について』 (数学史の研究)

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書誌事項

タイトル別名
  • Isaac Newton's $De$ $Analysi$ (The study of the history of mathematics 2017)

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説明

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.

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詳細情報 詳細情報について

  • CRID
    1050845763804799232
  • NII論文ID
    120006766056
  • NII書誌ID
    AA12196120
  • ISSN
    18816193
  • HANDLE
    2433/244720
  • 本文言語コード
    ja
  • 資料種別
    departmental bulletin paper
  • データソース種別
    • IRDB
    • CiNii Articles

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