Analytic Combinatorics in Several Variables
Produktdetaljer
Biografisk notat
Robin Pemantle is a Professor in the Department of Mathematics at the University of Pennsylvania. Mark C. Wilson is a Senior Lecturer in the Department of Computer Science at the University of Auckland.'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