ABSTRACT
It must be stated in all honesty that, in reality, in mathematics one pretty often comes across theorems, which are proved without basing the proofs upon any kind of axioms. A survey of social opinion indisputably situates mathematics at a prized spot in terms of the level of non-understandability. Isomorphism is one of the fundamental concepts of modern mathematics. It initially arose in algebra in connection with the algebraic systems, such as groups, rings and fields, but proved to be extremely significant for the understanding of the structure and domain of possible applications of every branch of mathematics. Mathematics is sometimes perceived as a stationary rock towering above the waves of changing notions about the other disciplines. Of course, there are grounds for such a view of mathematics. At the same time, the notion of some absoluteness of mathematics is evidently exaggerated. Modern mathematics has a complex structure, which has almost stopped to be visible.
