By Robin Pemantle,Mark C. Wilson

This e-book 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 innovations to estimate combinatorial amounts: producing capabilities are outlined and their coefficients are then anticipated through advanced contour integrals. The multivariate case consists of recommendations popular in different components of arithmetic yet no longer in combinatorics. aimed toward graduate scholars and researchers in enumerative combinatorics, the booklet includes all of the invaluable historical past, together with a assessment of the makes use of of producing capabilities 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 could be positioned through the book's 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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