Get Analytic Combinatorics in Several Variables (Cambridge PDF

By Robin Pemantle,Mark C. Wilson

ISBN-10: 1107031575

ISBN-13: 9781107031579

This booklet is the 1st to regard the analytic elements of combinatorial enumeration from a multivariate viewpoint. Analytic combinatorics is a department of enumeration that makes use of analytic strategies to estimate combinatorial amounts: producing features are outlined and their coefficients are then expected through complicated contour integrals. The multivariate case contains innovations renowned in different parts of arithmetic yet now not in combinatorics. aimed toward graduate scholars and researchers in enumerative combinatorics, the booklet includes the entire useful history, together with a evaluation of the makes use of of producing services 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 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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