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中图分类法:
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O157 版次： |
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著者:
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Pemantle, Robin. |
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题名:
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Analytic combinatorics in several variables / / , |
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出版发行:
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出版地： Cambridge : 出版社： Cambridge University Press, 出版日期： 2013. |
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载体形态:
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xiii, 380 p. : ill. ; 24 cm. |
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内容提要:
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"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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主题词:
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Combinatorial enumeration problems. |
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主题词:
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Functions of several complex variables. |
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主要责任者:
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Wilson, Mark C. |
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索书号:
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1 |