引用:
原帖由 futfuk 於 2009-7-28 04:31 PM 發表
i hear real analysis is needed to prove things in micro at the phd level.....
but ya..... i dont even know wht real analysis is. :smile_19:
Real analysis is analysis in real number
They have complex analysis too
Give you some concepts that I know
Do you know why calculus work?
Do you know the first principle?
Do you know how the first principle is valid?
Analysing the last question is real analysis, one of the area I had studied
First, we studied infremum and supremum ( lower bound and upper bound in daily life words )
then we study series
with these two
we can know the limit of a series ( converge? diverge? or converge with flipping +/- sign that we have no answer )
With series limit, we can extend that to function, like f(x) = 2x^2
Applying the concept, we can conclude the first principal of differerntiation
same to integration