By Pemantle R., Wilson M.C.
This ebook is the 1st to regard the analytic facets of combinatorial enumeration from a multivariate viewpoint. Analytic combinatorics is a department of enumeration that makes use of analytic recommendations to estimate combinatorial amounts: producing features are outlined and their coefficients are then envisioned through complicated contour integrals. The multivariate case consists of recommendations popular in different parts of arithmetic yet no longer in combinatorics. aimed toward graduate scholars and researchers in enumerative combinatorics, the e-book includes all of the important historical past, together with a overview of the makes use of of producing capabilities 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 will be situated through the booklet site, http://www.cs.auckland.ac.nz/~mcw/Research/mvGF/asymultseq/ACSVbook
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