At the time being, in spite of enormous progress of science and technology, development of observation techniques, and new mathematical methods, cosmology is at the crossroad for optimists or in crisis for realists. Many of their theories and hypotheses have not been confirmed. We are not able to explain even basic cosmological facts such as a question of initial singularity, existence of dark matter and dark energy. The harmonization of quantum theory and general relativity is far from definite accomplishment, etc. In this book we are offering a new vision of cosmology which is able to solve, partly or fully, some of the mentioned issues in accord with the latest results of experiments and observations. We try to provide a complex view on the problems, show historical context as well as highlight errors which have occurred at investigation of the Universe. The book contains information on eminent scientists contributing to cosmology. We introduce a number of images allowing to deeper understanding the topic. At the end of the book we include the latest experimental data and their interpretation expressing the current state in cosmology in the light of experimental data.