Title: Cosmology with Sunyaev-Zeldovich Cluster Survey Observations Ruediger Kneissl Cavendish Laboratory, Cambridge Abstract: Clusters of galaxies are important probes of cosmological evolution, for tracing the linear growth of the density field, presenting a fair sample of the content of the universe and allowing the study of gravitational collapse for the largest overdensities. Finding clusters at the highest redshifts where they form and understanding their subsequent evolution, however, is an observational challenge in optical or X-ray wavebands. Sunyaev-Zeldovich (SZ) cluster surveys, which are practically unbiased in redshift, will very soon help to overcome this problem. Building on the recent success of SZ imaging telescopes I will discuss the expectations for these surveys, with specific examples taken from the Arcminute Micro-Kelvin Imager (AMI) under construction in Cambridge and the Planck Surveyor satellite of ESA.