It's renowned that modern arithmetic comprises many disci plines. between them crucial are: set concept, algebra, topology, geometry, practical research, chance idea, the speculation of differential equations and a few others. additionally, each mathematical self-discipline includes numerous huge sections during which particular difficulties are investigated and the corresponding procedure is built. for instance, commonly topology now we have the next wide chap ters: the idea of compact extensions of topological areas, the idea of constant mappings, cardinal-valued features of topological areas, the idea of set-valued (multi-valued) mappings, and so on. sleek algebra is featured by way of the next domain names: linear algebra, crew conception, the speculation of earrings, common algebras, lattice concept, class conception, etc. pertaining to smooth likelihood thought, we will simply see that the clas sification of its domain names is way extra huge: degree conception on ab stract areas, Borel and cylindrical measures in infinite-dimensional vector areas, classical restrict theorems, ergodic conception, common stochastic tactics, Markov techniques, stochastical equations, mathematical information, informa tion concept and so on.