| Geometric Aspects of Probability Theory and Mathematical Statistics Contributor(s): Buldygin, V. V. (Author), Kharazishvili, A. B. (Author) |
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ISBN: 9048155053 ISBN-13: 9789048155057 Publisher: Springer OUR PRICE: $104.49 Product Type: Paperback - Other Formats Published: December 2010 |
| Additional Information |
| BISAC Categories: - Mathematics | Probability & Statistics - General - Mathematics | Functional Analysis - Mathematics | Mathematical Analysis |
| Dewey: 519.2 |
| Series: Mathematics and Its Applications |
| Physical Information: 0.66" H x 6.14" W x 9.21" (0.98 lbs) 304 pages |
| Descriptions, Reviews, Etc. |
| Publisher 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. |