Analytic combinatorics in several variables:
Discrete structures model a vast array of objects ranging from DNA sequences to internet networks. The theory of generating functions provides an algebraic framework for discrete structures to be enumerated using mathematical tools. This book is the result of 25 years of work developing analytic mac...
Gespeichert in:
| Beteiligte Personen: | , , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge, United Kingdom ; New York, NY , USA
Cambridge University Press
2024
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| Ausgabe: | Second edition |
| Schriftenreihe: | Cambridge studies in advanced mathematics
212 |
| Schlagwörter: | |
| Links: | https://doi.org/10.1017/9781108874144 https://doi.org/10.1017/9781108874144 https://doi.org/10.1017/9781108874144 https://doi.org/10.1017/9781108874144 |
| Zusammenfassung: | Discrete structures model a vast array of objects ranging from DNA sequences to internet networks. The theory of generating functions provides an algebraic framework for discrete structures to be enumerated using mathematical tools. This book is the result of 25 years of work developing analytic machinery to recover asymptotics of multivariate sequences from their generating functions, using multivariate methods that rely on a combination of analytic, algebraic, and topological tools. The resulting theory of analytic combinatorics in several variables is put to use in diverse applications from mathematics, combinatorics, computer science, and the natural sciences. This new edition is even more accessible to graduate students, with many more exercises, computational examples with Sage worksheets to illustrate the main results, updated background material, additional illustrations, and a new chapter providing a conceptual overview |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 08 Feb 2024) |
| Umfang: | 1 Online-Ressource (xix, 571 Seiten) |
| ISBN: | 9781108874144 |
| DOI: | 10.1017/9781108874144 |
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| isbn | 9781108874144 |
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| spelling | Pemantle, Robin (DE-588)1044381353 aut Analytic combinatorics in several variables Robin Pemantle, University of Pennsylvania, Mark C. Wilson, University of Massachusetts, Amherst, Stephen Melczer, University of Waterloo, Ontario Second edition Cambridge, United Kingdom ; New York, NY , USA Cambridge University Press 2024 1 Online-Ressource (xix, 571 Seiten) txt rdacontent c rdamedia cr rdacarrier Cambridge studies in advanced mathematics 212 Title from publisher's bibliographic system (viewed on 08 Feb 2024) Discrete structures model a vast array of objects ranging from DNA sequences to internet networks. The theory of generating functions provides an algebraic framework for discrete structures to be enumerated using mathematical tools. This book is the result of 25 years of work developing analytic machinery to recover asymptotics of multivariate sequences from their generating functions, using multivariate methods that rely on a combination of analytic, algebraic, and topological tools. The resulting theory of analytic combinatorics in several variables is put to use in diverse applications from mathematics, combinatorics, computer science, and the natural sciences. This new edition is even more accessible to graduate students, with many more exercises, computational examples with Sage worksheets to illustrate the main results, updated background material, additional illustrations, and a new chapter providing a conceptual overview Combinatorial enumeration problems Functions of several complex variables Mehrere komplexe Variable (DE-588)4169285-8 gnd rswk-swf Abzählende Kombinatorik (DE-588)4132720-2 gnd rswk-swf Abzählende Kombinatorik (DE-588)4132720-2 s DE-604 Mehrere komplexe Variable (DE-588)4169285-8 s Wilson, Mark C. 1967- (DE-588)1044382147 aut Melczer, Stephen (DE-588)1231242078 aut Erscheint auch als Druck-Ausgabe 978-1-108-83662-3 https://doi.org/10.1017/9781108874144 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Pemantle, Robin Wilson, Mark C. 1967- Melczer, Stephen Analytic combinatorics in several variables Combinatorial enumeration problems Functions of several complex variables Mehrere komplexe Variable (DE-588)4169285-8 gnd Abzählende Kombinatorik (DE-588)4132720-2 gnd |
| subject_GND | (DE-588)4169285-8 (DE-588)4132720-2 |
| title | Analytic combinatorics in several variables |
| title_auth | Analytic combinatorics in several variables |
| title_exact_search | Analytic combinatorics in several variables |
| title_full | Analytic combinatorics in several variables Robin Pemantle, University of Pennsylvania, Mark C. Wilson, University of Massachusetts, Amherst, Stephen Melczer, University of Waterloo, Ontario |
| title_fullStr | Analytic combinatorics in several variables Robin Pemantle, University of Pennsylvania, Mark C. Wilson, University of Massachusetts, Amherst, Stephen Melczer, University of Waterloo, Ontario |
| title_full_unstemmed | Analytic combinatorics in several variables Robin Pemantle, University of Pennsylvania, Mark C. Wilson, University of Massachusetts, Amherst, Stephen Melczer, University of Waterloo, Ontario |
| title_short | Analytic combinatorics in several variables |
| title_sort | analytic combinatorics in several variables |
| topic | Combinatorial enumeration problems Functions of several complex variables Mehrere komplexe Variable (DE-588)4169285-8 gnd Abzählende Kombinatorik (DE-588)4132720-2 gnd |
| topic_facet | Combinatorial enumeration problems Functions of several complex variables Mehrere komplexe Variable Abzählende Kombinatorik |
| url | https://doi.org/10.1017/9781108874144 |
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