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:
| Beteilige Person: | |
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| Weitere beteiligte Personen: | , |
| Format: | 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 |
| Links: | 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. |
| Umfang: | 1 Online-Ressource (xix, 571 Seiten) |
| ISBN: | 9781108874144 |
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| spelling | Pemantle, Robin 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 c cr Cambridge studies in advanced mathematics 212 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. Melczer, Stephen 1989- Wilson, Mark C. 1967- Erscheint auch als Druck-Ausgabe 9781108836623 |
| spellingShingle | Pemantle, Robin Analytic combinatorics in several variables |
| 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 |
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