Combinatorial methods in discrete mathematics /
This is an attempt to present some complex problems of discrete mathematics in a simple and unified form using an original, general combinatorial scheme. The author's aim is not always to present the most general results, but rather to focus attention on those that illustrate the methods descri...
| Основен автор: | Sachkov, Vladimir Nikolaevich. |
|---|---|
| Формат: | Електронна книга |
| Език: | English Russian |
| Публикувано: |
Cambridge ; New York, NY, USA :
Cambridge University Press,
1996.
|
| Серия: |
Encyclopedia of mathematics and its applications ;
volume 55. |
| Предмети: | |
| Онлайн достъп: |
http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=569291 |
| Подобни документи: |
Print version::
Combinatorial methods in discrete mathematics |
| Резюме: |
This is an attempt to present some complex problems of discrete mathematics in a simple and unified form using an original, general combinatorial scheme. The author's aim is not always to present the most general results, but rather to focus attention on those that illustrate the methods described. A distinctive aspect of the book is the large number of asymptotic formulae derived. Professor Sachkov begins with a discussion of block designs and Latin squares before proceeding to treat transversals, devoting much attention to enumerative problems. The main role in these problems is played by generating functions, which are considered in Chapter 4. The general combinatorial scheme is then introduced and, in the final chapter, Polya's enumerative theory is discussed. This is an important book, describing many ideas not previously available in English; the author has taken the opportunity to update the text and references where appropriate. |
|---|---|
| Физически характеристики: |
1 online resource (xiii, 306 pages) : illustrations. |
| Библиография: |
Includes bibliographical references (pages 295-302) and index. |
| ISBN: |
9781107088689 1107088682 |