Analytic Combinatorics in Several Variables : Cambridge Studies in Advanced Mathematics - Robin Pemantle

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Analytic Combinatorics in Several Variables

By: Robin Pemantle, Mark C. Wilson, Stephen Melczer

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Hardcover | 15 February 2024 | Edition Number 2

At a Glance

Hardcover
592 Pages

Edition Type
Revised

Dimensions(cm)
16.0 x 23.6 x 4.4

Hardcover

RRP $139.95

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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 twenty-five 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 array of 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.

Industry Reviews

'A definitive treatment of a challenging but very useful subject. There is a wide variety of situations calling for the estimation of the coefficients of a multivariate generating function. The authors have done a superb job of classifying and elucidating the myriad of available techniques for achieving this aim.' Richard P. Stanley, University of Miami
'This book is an invaluable resource that is certain to have dramatic impact on research and teaching in this rapidly developing area of mathematics. The first edition broke new ground; this edition prepares the field for others to harvest new knowledge with important applications in many scientific disciplines.'

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