Geometric Aspects of Probability Theory and Mathematical Statistics:
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Bibliographische Detailangaben
1. Verfasser: Buldygin, V. V. (VerfasserIn)
Format: Elektronisch E-Book
Sprache:English
Veröffentlicht: Dordrecht Springer Netherlands 2000
Schriftenreihe:Mathematics and Its Applications 514
Schlagworte:
Online-Zugang:Volltext
Beschreibung:It is well known that contemporary mathematics includes many disciplines. 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 chapters: 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 classification of its domains is much more extensive: measure theory on abstract spaces, Borel and cylindrical measures in infinite-dimensional vector spaces, classical limit theorems, ergodic theory, general stochastic processes, Markov processes, stochastical equations, mathematical statistics, information theory and many others
Beschreibung:1 Online-Ressource (X, 304 p)
ISBN:9789401716871
9789048155057
DOI:10.1007/978-94-017-1687-1

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