Download e-book for iPad: Analytic Combinatorics in Several Variables (Cambridge by Robin Pemantle,Mark C. Wilson

Discrete Mathematics

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 innovations to estimate combinatorial amounts: producing services are outlined and their coefficients are then envisioned through advanced contour integrals. The multivariate case contains suggestions renowned in different parts of arithmetic yet now not in combinatorics. geared toward graduate scholars and researchers in enumerative combinatorics, the publication includes the entire priceless history, together with a overview 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 in addition to different ancillary fabric should 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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