Geometric Aspects of Probability Theory and Mathematical Statistics (Mathematics and Its Applications, 514)
ISBN-13:
9780792364139
ISBN-10:
0792364139
Edition:
2000
Author:
V.V. Buldygin, A.B. Kharazishvili
Publication date:
2000
Publisher:
Springer
Format:
Hardcover
314 pages
Category:
Applied
,
Mathematical Analysis
,
Mathematics
FREE US shipping
Book details
ISBN-13:
9780792364139
ISBN-10:
0792364139
Edition:
2000
Author:
V.V. Buldygin, A.B. Kharazishvili
Publication date:
2000
Publisher:
Springer
Format:
Hardcover
314 pages
Category:
Applied
,
Mathematical Analysis
,
Mathematics
Summary
Geometric Aspects of Probability Theory and Mathematical Statistics (Mathematics and Its Applications, 514) (ISBN-13: 9780792364139 and ISBN-10: 0792364139), written by authors
V.V. Buldygin, A.B. Kharazishvili, was published by Springer in 2000.
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Description
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 equations, mathematical statistics, informa tion theory and many others.
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