Analytic Combinatorics in Several Variables (Cambridge by Robin Pemantle,Mark C. Wilson PDF

By Robin Pemantle,Mark C. Wilson

This ebook is the 1st to regard the analytic features of combinatorial enumeration from a multivariate point of view. Analytic combinatorics is a department of enumeration that makes use of analytic strategies to estimate combinatorial amounts: producing capabilities are outlined and their coefficients are then predicted through complicated contour integrals. The multivariate case consists of concepts popular in different parts of arithmetic yet no longer in combinatorics. aimed toward graduate scholars and researchers in enumerative combinatorics, the ebook comprises the entire helpful heritage, together with a assessment of the makes use of of producing services in combinatorial enumeration in addition to chapters dedicated to saddle element research, Groebner bases, Laurent sequence and amoebas, and a smattering of differential and algebraic topology. All software program besides different ancillary fabric should be positioned through the book's web site, http://www.cs.auckland.ac.nz/~mcw/Research/mvGF/asymultseq/ACSVbook/.

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Analytic Combinatorics in Several Variables (Cambridge Studies in Advanced Mathematics) by Robin Pemantle,Mark C. Wilson


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