The field of astrophysics and cosmology of galaxy clusters is so broad
that such a review has to concentrate on some key topics. I have chosen
to concentrate on fields where I have seen some important recent progress.
Therefore I hope to provide an overview on our understanding of the statistical
distribution of galaxy cluster structure and scaling relations, comparison of the
X-ray and optical appearance of galaxy clusters, the calibration of galaxy
cluster mass weighing, and the study of the stellar and gas mass fractions and
the thermodynamic state of the intracluster medium have. Further interesting
topics concern information we obtain from X-ray spectroscopy as
the heavy element enrichment of the intracluster medium and in the future
information on the amount of turbulence in this plasma. The successful surveys
detecting galaxy clusters in the Sunyaev-Zeldovich effect provide a new window
for cluster studies to our Universe. An increasing amount of new distant clusters
being discovered at several wavelengths provide a larger leverage to study
galaxy cluster evolution.
Almost all of this new observational information also helps to improve our cosmological studies with galaxy clusters. Thus the recent progress in cluster cosmology is marked to a large degree by improving the systematics of the studies. Promising new galaxy cluster surveys at different wavelengths are at the horizon, hopefully providing us with the means to perform the next step of precision cosmological studies.
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