10. Geometric Measure Theory I: Measures
The eighth general mathematical framework is that of geometric
measure theory, which deals with the application of measure theory
to geometry.
A functional, denoted generically by F, is a mapping defined on
a class of subsets of Euclidean space
(e.g.,
the class of all nonempty compact subsets under the Euclidean topology)
and with numerical values (i.e., in
,
or
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Geometric Measure Theory I: Measures
Bibliography
-
(1) - AUBIN (J.P.), FRANKOWSKA (H.) -
Set-Valued Analysis,
-
Birkhäuser (1990).
-
(2) - BERGER (M.) -
Geometry,
-
Springer, vol. 1 and 2,
[1st ed., 1987] (2009).
- ...
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