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Analytic combinatorics
La 4e de couverture indique : "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 d...
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| Main Authors : | , |
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| Format : | Book |
| Language : | anglais |
| Title statement : | Analytic combinatorics / Philippe Flajolet, ... & Robert Sedgewick, ... |
| Published : |
Cambridge, New York :
Cambridge University Press
, copyright 2009 |
| Physical Description : | 1 vol. (XIII-810 p.) |
| Subjects : | |
| Related Items : | Additional physical form:
Analytic combinatorics |
| Summary : | La 4e de couverture indique : "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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| Publication history : | Autres tirages : 2010, 2013 |
| Bibliography : | Bibliogr. p. 779-800. Index |
| ISBN : | 978-0-521-89806-5 0-521-89806-4 |