| Description |
1 online resource (x, 246 pages) : illustrations. |
| Physical Medium |
polychrome |
| Description |
text file |
| Series |
Encyclopedia of mathematics and its applications ; 56
|
|
Encyclopedia of mathematics and its applications ; volume 56.
|
| Bibliography |
Includes bibliographical references (pages 237-243) and index. |
| Contents |
1. Relevant elements of probability theory -- 2. Combinatorial properties of random nonnegative matrices -- 3. Probabilistic problems in the general combinatorial scheme -- 4. Random partitions of sets -- 5. Random permutations -- 6. Random graphs and random mappings. |
| Summary |
This work explores the role of probabilistic methods for solving combinatorial problems. These methods not only provide the means of efficiently using such notions as characteristic and generating functions, the moment method, and so on, they also allow us to use the powerful technique of limit theorems. The basic objects under investigation are nonnegative matrices, partitions and mappings of finite sets, with special emphasis on permutations and graphs, and equivalence classes specified on sequences of finite length consisting of elements of partially ordered sets; these specify the probabilistic setting of Sachkov's general combinatorial scheme. The author pays special attention to the use of probabilistic methods in order to obtain asymptotic formulae that are difficult to derive using combinatorial methods. |
|
This is an important book, describing many ideas not previously available in English; the author has taken the opportunity to rewrite parts of the original Russian text and to refresh the references where appropriate. |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Language |
Translated from the Russian. |
| Subject |
Combinatorial analysis.
|
|
Combinatorial analysis. |
|
Probabilities.
|
|
Probabilities. |
| Genre/Form |
Electronic books.
|
| Added Title |
Veroi͡atnostnye metody v kombinatornom analize. English
|
| Other Form: |
Print version: Sachkov, Vladimir Nikolaevich. Veroi͡atnostnye metody v kombinatornom analize. English. Probabilistic methods in combinatorial analysis 052145512X (DLC) 94030891 (OCoLC)30972048 |
| ISBN |
9781107088672 (electronic book) |
|
1107088674 (electronic book) |
|
052145512X |
|
9780521455121 |
|
