Analytic Combinatorics in Several Variables
(Book #140 in the Cambridge Studies in Advanced Mathematics Series)
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Discrete structures model a vast array of objects ranging from DNA sequences to internet networks. The theory of generating functions provides an algebraic framework for discrete structures to be enumerated using mathematical tools. This book is the result of 25 years of work developing analytic machinery to recover asymptotics of multivariate sequences from their generating functions, using multivariate methods that rely on a combination of analytic, algebraic, and topological tools. The resulting theory of analytic combinatorics in several variables is put to use in diverse applications from mathematics, combinatorics, computer science, and the natural sciences. This new edition is even more accessible to graduate students, with many more exercises, computational examples with Sage worksheets to illustrate the main results, updated background material, additional illustrations, and a new chapter providing a conceptual overview.
Format:Hardcover
Language:English
ISBN:1108836623
ISBN13:9781108836623
Release Date:February 2024
Publisher:Cambridge University Press
Length:592 Pages
Weight:2.28 lbs.
Dimensions:1.4" x 6.0" x 9.0"
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