Analytic combinatorics in several variables /
"Mathematicians have found it useful to enumerate all sorts of things arising in discrete mathematics: elements of finite groups, configurations of ones and zeros, graphs of various sorts; the list is endless. Analytic combinatorics uses analytic techniques to do the counting: generating functi...
| Основен автор: | Pemantle, Robin. |
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| Други автори: | Wilson, Mark C. 1967- |
| Формат: | Книга |
| Език: | English |
| Публикувано: |
Cambridge :
Cambridge University Press,
2013.
|
| Серия: |
Cambridge studies in advanced mathematics ;
140. |
| Предмети: | |
| Онлайн достъп: |
Cover image |
| Резюме: |
"Mathematicians have found it useful to enumerate all sorts of things arising in discrete mathematics: elements of finite groups, configurations of ones and zeros, graphs of various sorts; the list is endless. Analytic combinatorics uses analytic techniques to do the counting: generating functions are defined and their coefficients are then estimated via complex contour integrals. This book is the result of nearly fifteen years work on developing analytic machinery to recover, as effectively as possible, asymptotics of the coefficients of a multivariate generating function. It is the first book to describe many of the results and techniques necessary to estimate coefficients of generating functions in more than one variable"-- |
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| Физически характеристики: |
xiii, 380 pages ; 24 cm. |
| Библиография: |
Includes bibliographical references (pages 363-371) and indexes. |
| ISBN: |
9781107031579 (hardback) 1107031575 (hardback) |