书目名称 | Geometric Aspects of Probability Theory and Mathematical Statistics | 编辑 | V. V. Buldygin,A. B. Kharazishvili | 视频video | | 丛书名称 | Mathematics and Its Applications | 图书封面 |  | 描述 | It is well known that contemporary mathematics includes many disci plines. Among them the most important are: set theory, algebra, topology, geometry, functional analysis, probability theory, the theory of differential equations and some others. Furthermore, every mathematical discipline consists of several large sections in which specific problems are investigated and the corresponding technique is developed. For example, in general topology we have the following extensive chap ters: the theory of compact extensions of topological spaces, the theory of continuous mappings, cardinal-valued characteristics of topological spaces, the theory of set-valued (multi-valued) mappings, etc. Modern algebra is featured by the following domains: linear algebra, group theory, the theory of rings, universal algebras, lattice theory, category theory, and so on. Concerning modern probability theory, we can easily see that the clas sification of its domains is much more extensive: measure theory on ab stract spaces, Borel and cylindrical measures in infinite-dimensional vector spaces, classical limit theorems, ergodic theory, general stochastic processes, Markov processes, stochastical equation | 出版日期 | Book 2000 | 关键词 | Dimension; Gaussian process; Grad; Probability theory; distribution; mathematical statistics; statistics; s | 版次 | 1 | doi | https://doi.org/10.1007/978-94-017-1687-1 | isbn_softcover | 978-90-481-5505-7 | isbn_ebook | 978-94-017-1687-1 | copyright | Springer Science+Business Media Dordrecht 2000 |
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