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By Philippe Flajolet,Robert Sedgewick

ISBN-10: 0521898064

ISBN-13: 9780521898065

Analytic combinatorics goals to let exact quantitative predictions of the homes of enormous combinatorial buildings. the idea has emerged over fresh a long time as crucial either for the research of algorithms and for the examine of medical types in lots of disciplines, together with likelihood thought, statistical physics, computational biology, and knowledge conception. With a cautious mixture of symbolic enumeration equipment and complicated research, drawing seriously on producing features, result of sweeping generality emerge that may be utilized particularly to primary constructions equivalent to diversifications, sequences, strings, walks, paths, timber, graphs and maps. This account is the definitive remedy of the subject. The authors supply complete assurance of the underlying arithmetic and a radical therapy of either classical and smooth functions of the idea. The textual content is complemented with routines, examples, appendices and notes to help realizing. The e-book can be utilized for a sophisticated undergraduate or a graduate path, or for self-study.

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Analytic Combinatorics by Philippe Flajolet,Robert Sedgewick

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