Cool stars like the Sun harbor convection zones capable of producing
substantial surface magnetic fields leading to stellar magnetic activity. The
influence of stellar parameters like rotation, radius, and age on cool-star
magnetism, and the importance of the shear layer between a radiative core and
the convective envelope for the generation of magnetic fields are keys for our
understanding of low-mass stellar dynamos, the solar dynamo, and also for other
large-scale and planetary dynamos. Our observational picture of cool-star
magnetic fields has improved tremendously over the last years. Sophisticated
methods were developed to search for the subtle effects of magnetism, which are
difficult to detect particularly in cool stars. With an emphasis on the
assumptions and capabilities of modern methods used to measure magnetism in
cool stars, I review the different techniques available for magnetic field
measurements. I collect the analyses on cool-star magnetic fields and try to
compare results from different methods, and I review empirical evidence that
led to our current picture of magnetic fields and their generation in cool
stars and brown dwarfs.Comment: Published version at http://www.livingreviews.org/lrsp-2012-