The mathematics of anisotropic spatially-homogeneous cosmologies -- Creation of particles by gravitational field -- Viscous dissipation and evolution of homogeneous cosmological models -- Cosmological microwave background blackbody radiation and formation of galaxies -- Cosmological anisotropies in the microwave background -- Constraints on the possible distortions of the cosmic background radiation spectrum -- A unified treatment of different approaches to clustering of galaxies -- Questions to infallible oracle.