| Titre : | Analytic Combinatorics : A Multidimensional Approach |
| Auteurs : | Marni Mishna, Auteur |
| Type de document : | texte imprimé |
| Editeur : | New York : CRC Press, 2020 |
| ISBN/ISSN/EAN : | 978-1-03-247513-4 |
| Format : | 1 vol. (252 p.) / couv. ill. / 24 cm |
| Note générale : | Index |
| Langues: | Anglais |
| Index. décimale : | 511.6 (Analyse combinatoire) |
| Catégories : | |
| Mots-clés: | Analytic Combinatorics |
| Résumé : |
Analytic Combinatorics: A Multidimensional Approach is written in a reader-friendly fashion to better facilitate the understanding of the subject. Naturally, it is a firm introduction to the concept of analytic combinatorics and is a valuable tool to help readers better understand the structure and large-scale behavior of discrete objects. Primarily, the textbook is a gateway to the interactions between complex analysis and combinatorics. The study will lead readers through connections to number theory, algebraic geometry, probability and formal language theory. The textbook starts by discussing objects that can be enumerated using generating functions, such as tree classes and lattice walks. It also introduces multivariate generating functions including the topics of the kernel method, and diagonal constructions. The second part explains methods of counting these objects, which involves deep mathematics coming from outside combinatorics, such as complex analysis and geometry. Features Written with combinatorics-centric exposition to illustrate advanced analytic techniques Each chapter includes problems, exercises, and reviews of the material discussed in them Includes a comprehensive glossary, as well as lists of figures and symbols. |
| Note de contenu : |
Summary: - A Primer on Combinatorical Calculus. - Combinatorical Parameters. - Derived and Transcendental Classes. - Generating Functions as Analytic Objects. - Parallel Taxonomies. - Singularities of Multvariable Rational Functions. - Integration and Multivariable Coefficient Asymptotics. - Multiple Points. - Partitions. |
| Côte titre : |
S8/90548-90549 |
Exemplaires (2)
| Cote | Support | Localisation | Disponibilité |
|---|---|---|---|
| S8/90548 | Livre | Bibliothèque centrale | Exclu du prêt Exclu du prêt |
| S8/90549 | Livre | Bibliothèque centrale | Exclu du prêt Exclu du prêt |
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