- #1

MichPod

- 202

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A ##\frac{df}{dx}## notation is problematic. Obviously, the letter 'd' has very different meaning when applied to the function or to the argument. Additionally, a separate letter '##\partial##' is used to denote a partial differential (a very rare case in math when a notation used for a general case of partial differential cannot be used for a more specific case of a full differential). Additionally, the ##\frac{\partial f}{\partial x}## expression is ambiguous as the arguments of the 'f' function are only implied and not stated explicitly. Additionally, a differential of a multivariable function is a covector, a second differential is a tensor, but that fact is just masked by considering the partial differentials separately. I guess, there may be more recognized disadvantages of the above notation.

The question: were there any successful attempts to improve the notation for the differential specifically in math? I mean not in the school textbooks, but generally. May be some advanced books and topics may use a different, better notation?

The question: were there any successful attempts to improve the notation for the differential specifically in math? I mean not in the school textbooks, but generally. May be some advanced books and topics may use a different, better notation?

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