000 02310nam a22003617a 4500
001 sulb-eb0015674
003 BD-SySUS
005 20160405134441.0
008 120403s2013||||enk o ||1 0|eng|d
020 _a9781139381864 (ebook)
020 _z9781107031579 (hardback)
020 _z9781107471818 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA164.8
_b.P46 2013
082 0 0 _a511/.6
_223
100 1 _aPemantle, Robin,
_eauthor.
245 1 0 _aAnalytic Combinatorics in Several Variables /
_cRobin Pemantle, Mark C. Wilson.
264 1 _aCambridge :
_bCambridge University Press,
_c2013.
300 _a1 online resource (392 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 0 _aCambridge Studies in Advanced Mathematics ;
_v140
500 _aTitle from publisher's bibliographic system (viewed on 04 Apr 2016).
520 _aThis book is the first to treat the analytic aspects of combinatorial enumeration from a multivariate perspective. Analytic combinatorics is a branch of enumeration that uses analytic techniques to estimate combinatorial quantities: generating functions are defined and their coefficients are then estimated via complex contour integrals. The multivariate case involves techniques well known in other areas of mathematics but not in combinatorics. Aimed at graduate students and researchers in enumerative combinatorics, the book contains all the necessary background, including a review of the uses of generating functions in combinatorial enumeration as well as chapters devoted to saddle point analysis, Groebner bases, Laurent series and amoebas, and a smattering of differential and algebraic topology. All software along with other ancillary material can be located via the book's website, http://www.cs.auckland.ac.nz/~mcw/Research/mvGF/asymultseq/ACSVbook/.
650 0 _aCombinatorial enumeration problems
650 0 _aFunctions of several complex variables
700 1 _aWilson, Mark C.,
_eauthor.
776 0 8 _iPrint version:
_z9781107031579
830 0 _aCambridge Studies in Advanced Mathematics ;
_v140.
856 4 0 _uhttp://dx.doi.org/10.1017/CBO9781139381864
942 _2Dewey Decimal Classification
_ceBooks
999 _c37518
_d37518