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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 th...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge ; New York :
Cambridge University Press,
2009.
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| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | 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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| Notas: | Title from title screen. |
| Descripción Física: | 1 online resource (xiii, 810 pages) : illustrations |
| Bibliografía: | Includes bibliographical references and index. |
| ISBN: | 9780511480799 0511480792 9780511801655 0511801653 9780511477591 0511477597 0511479999 9780511479991 0521898064 9780521898065 0511476140 9780511476143 1107202027 9781107202023 1282001655 9781282001657 9786612001659 6612001658 0511479115 9780511479113 |