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/sci/ - Science & Math

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7900010 No.7900010 [Reply] [Original]

How hard would it be for one to learn complex analysis (or vector calculus, or anything in higher dimensions) without a good geometric intuition?

>> No.7900013

Beyond R^3 or so geometry is shit

>> No.7900014

you pick it up as you go in complex

>> No.7900043
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7900043

>>7900014
I'm just having a hard time trying to interpret figures in the subject.

Look at this thing from wikipedia, for an example- It's supposed to be a complex function, with the hue representing the argument and the brightness representing the magnitude.

I just find it impossible to see any properties of the function using this, compared with a normal graph of a real function (where you could easily say "here it's differentiable" or "here is a singularity").

>> No.7900237

Bump

>> No.7900260

>>7900013
This is not true at all. Even when working with general n-manifolds, it is often very useful to think in terms of 1,2,3 dimensional slices to get an idea of what exactly is going on.