Analytic Combinatorics in Several Variables (Cambridge - download pdf or read online

By Robin Pemantle,Mark C. Wilson

This publication 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 options to estimate combinatorial amounts: producing features are outlined and their coefficients are then anticipated through advanced contour integrals. The multivariate case includes innovations popular in different components of arithmetic yet now not in combinatorics. aimed toward graduate scholars and researchers in enumerative combinatorics, the ebook includes the entire helpful heritage, together with a evaluation of the makes use of of producing features in combinatorial enumeration in addition to chapters dedicated to saddle aspect research, Groebner bases, Laurent sequence and amoebas, and a smattering of differential and algebraic topology. All software program in addition to different ancillary fabric might 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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