Abstract. The following review is based on lectures given in the 1 st Samos Cosmology summer school. It presents an attempt to discuss various issues of current interest in Observational Cosmology, the selection of which as well as the emphasis given, reflects my own preference and biases. After presenting some Cosmological basics, for which I was aided by excellent text-books, I emphasize on attempts to determine some of the important cosmological parameters; the Hubble constant, the curvature and total mass content of the Universe. The outcome of these very recent studies is that the concordance model, that fits the majority of observations, is that with04 and spectral index of primordial fluctuations, the inflationary value n ≃ 1. I apologise before hand for the many important works that I have omitted and for the possible misunderstanding of those presented.
Background-PrerequisitesThe main task of Observational Cosmology is to identify which of the idealized models, that theoretical Cosmologists construct, relates to the Universe we live in. One may think that since we cannot perform experiments and study, in a laboratory sense, the Universe as a whole, this is a futile task. Nature however has been graceful, and through the detailed and exhaustive analysis of the detected electromagnetic radiation emitted from the different photon-generating processes, we can do wonders! Among the many important tasks of Observational Cosmology is the determination of the total mass-energy density of the Universe, the rate of its expansion, its age, the amount of ordinary and exotic matter that it contains, as well as to quantify in a objective and bias free manner the large-scale distribution of matter, as traced by galaxies, clusters of galaxies and AGN's for example.However, these tasks are not easy to fulfil. Subjective (instrumentation, available funds, technological limitations etc) as well as objective (observational biases, limitations due to our position in space-time, etc) difficulties exist. Furthermore, we do not know whether the Universe accessible to our observations is representative of the whole Universe. A positive answer to this question is essential in order to meaningfully compare observations with theory. Under the assumption that the Universe is homogeneous and isotropic (in a statistical sense), well separated regions can be viewed as independent realizations of the same formation process. Therefore many of such regions constitute an ensemble and thus we can employ statistical techniques in our study.