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Maxima and minima

Given a function

f

:

from some space. For beginners the real numbers but more generally topological spaces should work in general
to the real numbers

we want to find the points

x

of the domain of

f

where the value of

f

is smaller (for minima, or larger for maxima) than all other points in some neighbourhood of

x

.

In the case of Functionals, this problem is treated under the theory of the calculus of variations.

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Calculus of variations

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