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Home > Education > Mathematics > Analytic Combinatorics

Analytic Combinatorics

by Flajolet, Philippe / Sedgewick, Robert
 
 
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Analytic Combinatorics
Analytic combinatorics aims to enable precise quantitative predictions of the properties of large combinatorial structures. The theory has emerged over recent decades as essential both for the analysis of algorithms and for the study of scientific models in many disciplines, including probability theory, statistical physics, computational biology, and information theory. With a careful combination of symbolic enumeration methods and complex analysis, drawing heavily on generating functions, results of sweeping generality emerge that can be applied in particular to fundamental structures such as permutations, sequences, strings, walks, paths, trees, graphs and maps. This account is the definitive treatment of the topic. The authors give full coverage of the underlying mathematics and a thorough treatment of both classical and modern applications of the theory. The text is complemented with exercises, examples, appendices and notes to aid understanding. The book can be used for an advanced undergraduate or a graduate course, or for self-study.


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Title of ebook: Analytic Combinatorics
ISBN: 9780511474347
parent-ISBN: 9780521898065
Publisher: Cambridge University Press
Internet download file size: 11349 kb
Pages: 824
Published: 01-2009
Released online for download: 01-15-2009
Author of eBook: Flajolet,Philippe
Author of eBook: Sedgewick,Robert
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