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Analytic Combinatorics in Several Variables Hardback (Cambridge Studies in Advanced Mathematics) (Inglés) Tapa dura – 8 ago 2013


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Críticas

'It deserves a place on college library shelves … it provides a nearly universal answer to the 'what can I do with this stuff?' question that students pose in so many basic courses. Recommended.' D. V. Feldman, Choice

'The organization of the book is exemplary. A thorough and well-designed introduction provides full context and is worth rereading as one works through the book … The treatment of analytic methods for multivariate generating functions in this book is breathtaking. A detailed overview is followed by thorough chapters on smooth point asymptotics, multiple point asymptotics, and cone point asymptotics, then four worked examples, and extensions. The end result, a combination of analytic, Morse-theoretic, algebraic, topological, and asymptotic methods, is surprisingly effective. Indeed, it is astonishing that the authors have found relevant ways to exploit such a broad spectrum of mathematical tools to address the problem at hand.' Robert Sedgewick, Bulletin of the AMS

Reseña del editor

This book is the result of nearly fifteen years work on developing analytic machinery to recover, as effectively as possible, asymptotics of the coefficients of a multivariate generating function. It is the first book to describe many of the results and techniques necessary to estimate coefficients of generating functions in more than one variable.

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