The lectures are presented as follows.
first part the experimental basis of modern cosmology is presented.
Several decades ago the cosmology has only one basic experimental fact
which form the experimental basis.
The third part of the lectures devoted to the analysis of the Friedmannien equations. The equations describe the evolution of our Universe were derived by Alexandr Friedmann in 1924. The conclusions of these equation were so unusual that even Albert Einstein did not belive in. But after the explanation of A.Friedmann transfered by A.Korotkov, Einstein agreed with the model developed. The Friedmannien equation predicted the expansion of our Universe. This expansion was discovered by Edwin Hubble in 1929 and the law of expansion has its name now.
The fouth part contains the newtonian description of the cosmological equations which reveal the physical sense of these equations and help to understand them. The fourth part contains the newtonian description of the cosmological equations.
The fifth part devoted to the determination (in mathematical sense) the observable quantities in the cosmology. The red shift, Hubble diagramms, distances, size of horizon are the subject of this part. At the end the solution of the Olberts paradox in Friedmannien cosmology is discussed.
part of the lectures are devoted to discussion of the small scale
irregularities in cosmology and the equations for the evolution of these
perturbations. The gravitational instability of different types of matter
and on the different background is considered. The real matter in the
early Universe is high temperature plasma. One has to consider the influence
of high temperature plasma on the evolution of the irregularities during
the expansion. The Silk effect (radiation drag) is one of the main effect
which is considered here. The concept of dark matter is one of the most
important concept in the astronomy as a whole. This concept is very important
part of the lectures is devoted to the nonlinear regime of evolution
of density perturbations. The main feature of this stage is formation
of the 2D structures which were named pankecks. Now is known as Zeldovich
approximation. This type of structure was discovered and called now the
Large Scale Structure of the Universe.