I am currently working through spivak's calculus on manifolds (which i love by the way) in one of my class. my question is about his notation for partial derivatives. i completely understand why he uses it and how the classical notation has some ambiguity to it. however, i can't help but thinking of partial derivatives, the chain rule (from R^n to R), and such in terms of the classical notation that i have used for so long. even my professor, though he sometimes uses spivak's notation, slips into the classical notation, especially when he is lecturing without notes.(adsbygoogle = window.adsbygoogle || []).push({});

my question is what notation do you prefer? i haven't seen spivak's notation anywhere outside this book even though it is such a well known book and the notation has obvious advantages. does anyone else use in their daily lives?

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# Spivak's calculus on manifolds

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