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From: bacle on 15 Jul 2010 19:35 Hi: I am trying to find a good answer to one of my students questions: why, if f is a function of _one_ complex variable, can we meaningfully talk about partial derivatives.?. Partial derivatives make sense (at least in the real case) when we have more than one variable, e.g., f(x_1,..,x_n). But, if we have just a single complex variable, it seems to make no sense to have partial derivatives. Any Ideas.? Thanks.
From: rancid moth on 16 Jul 2010 00:24
[cut] "why, if f is a function of _one_ complex variable, can we meaningfully talk about partial derivatives.?" because z=x+iy : x, y being independent variables. |