Download PDF by Robin Pemantle,Mark C. Wilson: Analytic Combinatorics in Several Variables (Cambridge

By Robin Pemantle,Mark C. Wilson

ISBN-10: 1107031575

ISBN-13: 9781107031579

This publication is the 1st to regard the analytic points 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 capabilities are outlined and their coefficients are then anticipated through advanced contour integrals. The multivariate case comprises concepts renowned in different parts of arithmetic yet now not in combinatorics. aimed toward graduate scholars and researchers in enumerative combinatorics, the ebook includes the entire valuable heritage, together with a evaluate 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 besides different ancillary fabric will 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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