"Geometric measure theory is a broad
and beautiful area of mathematics
with deep and persistent connections with geometry,
analysis,
number theory, combinatorics, and beyond.
It is also an area that defies simplistic
descriptions
as it continually evolves and reinvents its raison
d’etre.
Any attempt to write a book containing a
comprehensive treatment of all the areas
that currently fall under the umbrella of geometric
measure theory
would be a futile and thankless task.
Instead, Francesco Maggi chose a very coherent and
interesting set of problems
pertaining to sets of finite perimeter and geometric
variational problems
and produced an excellent, timely, and thoroughly
readable text,
accessible to a wide mathematical audience."