Re: Why do people make such big deals of uniform convergence/continuity?

Doug B wrote:
Why do people always make such huge deals of uniform convergence and
uniform continuity?

jsher wrote:
Lets say, you are driving across the bridge. This bridge was built by
an engineer who had to do some double and triple integrals to establish
the structural stability of the bridge. Unfortuently, this engineer had
no idea under what circumstances he could switch the order of
integration of the integrals,

Oh come now, you can't possibly be serious? That some civil engineer
is going to carefully check the hypotheses for switching order of
integration? I'd be impressed if the engineer remembers or ever
learned in the first place what integration even means, even just in a
Riemann sense.

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