By V.V. Buldygin, A.B. Kharazishvili
It is celebrated that modern arithmetic contains many disci plines. between them crucial are: set idea, algebra, topology, geometry, useful research, likelihood thought, the idea of differential equations and a few others. additionally, each mathematical self-discipline comprises numerous huge sections during which particular difficulties are investigated and the corresponding procedure is constructed. for instance, more often than not topology we've the next broad 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. smooth algebra is featured through the next domain names: linear algebra, staff idea, the idea of jewelry, common algebras, lattice idea, type idea, etc. relating smooth likelihood idea, we will simply see that the clas sification of its domain names is far extra wide: degree idea on ab stract areas, Borel and cylindrical measures in infinite-dimensional vector areas, classical restrict theorems, ergodic thought, basic stochastic tactics, Markov procedures, stochastical equations, mathematical facts, informa tion idea and plenty of others.