今回は, 導関数dy/dxは分数扱いしてよいのか議論します。
間違いの指摘はコメント欄にお願いします。
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[1] 高木貞治, 『解析概論』
[2] 高瀬正仁, 『dxとdyの解析学』
[3] Terence Tao, Analysis Ⅰ
[4] 角田譲, 無限小(Infinitesimal)の意味と形式
https://www.mathsoc.jp/publication/tushin/0303/kakuda3-3.pdf
[5] Stack Exchange, Notation for partial derivative of functions of functions
https://math.stackexchange.com/questions/3266639/notation-for-partial-derivative-of-functions-of-functions
[6] Stack Exchange, Newton vs Leibniz notation
https://math.stackexchange.com/questions/1966777/newton-vs-leibniz-notation
[7] Wikipedia, One-form (differential geometry)
https://en.wikipedia.org/wiki/One-form_(differential_geometry)
[8]Wikipedia, Notation for differentiation
https://en.wikipedia.org/wiki/Notation_for_differentiation
[9] More than infinitesimal What is dx
https://math.blogoverflow.com/2014/11/03/more-than-infinitesimal-what-is-dx/
[10] Mikhail G. Katz, David Sherry, Leibniz's Infinitesimals, https://arxiv.org/abs/1205.0174
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