By Robin Pemantle,Mark C. Wilson

This publication is the 1st to regard the analytic elements of combinatorial enumeration from a multivariate standpoint. Analytic combinatorics is a department of enumeration that makes use of analytic recommendations to estimate combinatorial amounts: producing features are outlined and their coefficients are then envisioned through complicated contour integrals. The multivariate case includes options popular in different components of arithmetic yet now not in combinatorics. geared toward graduate scholars and researchers in enumerative combinatorics, the booklet includes the entire worthy heritage, together with a overview of the makes use of of producing features 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 will be situated 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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