Analytic combinatorics in several variables:
This book is the first to treat the analytic aspects of combinatorial enumeration from a multivariate perspective. Analytic combinatorics is a branch of enumeration that uses analytic techniques to estimate combinatorial quantities: generating functions are defined and their coefficients are then es...
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| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2013
|
| Schriftenreihe: | Cambridge studies in advanced mathematics
140 |
| Links: | https://doi.org/10.1017/CBO9781139381864 |
| Zusammenfassung: | This book is the first to treat the analytic aspects of combinatorial enumeration from a multivariate perspective. Analytic combinatorics is a branch of enumeration that uses analytic techniques to estimate combinatorial quantities: generating functions are defined and their coefficients are then estimated via complex contour integrals. The multivariate case involves techniques well known in other areas of mathematics but not in combinatorics. Aimed at graduate students and researchers in enumerative combinatorics, the book contains all the necessary background, including a review of the uses of generating functions in combinatorial enumeration as well as chapters devoted to saddle point analysis, Groebner bases, Laurent series and amoebas, and a smattering of differential and algebraic topology. All software along with other ancillary material can be located via the book's website, http://www.cs.auckland.ac.nz/~mcw/Research/mvGF/asymultseq/ACSVbook/. |
| Umfang: | 1 Online-Ressource (xiii, 380 Seiten) |
| ISBN: | 9781139381864 |
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| 520 | |a This book is the first to treat the analytic aspects of combinatorial enumeration from a multivariate perspective. Analytic combinatorics is a branch of enumeration that uses analytic techniques to estimate combinatorial quantities: generating functions are defined and their coefficients are then estimated via complex contour integrals. The multivariate case involves techniques well known in other areas of mathematics but not in combinatorics. Aimed at graduate students and researchers in enumerative combinatorics, the book contains all the necessary background, including a review of the uses of generating functions in combinatorial enumeration as well as chapters devoted to saddle point analysis, Groebner bases, Laurent series and amoebas, and a smattering of differential and algebraic topology. All software along with other ancillary material can be located via the book's website, http://www.cs.auckland.ac.nz/~mcw/Research/mvGF/asymultseq/ACSVbook/. | ||
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| spelling | Pemantle, Robin Analytic combinatorics in several variables Robin Pemantle, The University of Pennsylvania, Mark C. Wilson, University of Auckland Cambridge Cambridge University Press 2013 1 Online-Ressource (xiii, 380 Seiten) txt c cr Cambridge studies in advanced mathematics 140 This book is the first to treat the analytic aspects of combinatorial enumeration from a multivariate perspective. Analytic combinatorics is a branch of enumeration that uses analytic techniques to estimate combinatorial quantities: generating functions are defined and their coefficients are then estimated via complex contour integrals. The multivariate case involves techniques well known in other areas of mathematics but not in combinatorics. Aimed at graduate students and researchers in enumerative combinatorics, the book contains all the necessary background, including a review of the uses of generating functions in combinatorial enumeration as well as chapters devoted to saddle point analysis, Groebner bases, Laurent series and amoebas, and a smattering of differential and algebraic topology. All software along with other ancillary material can be located via the book's website, http://www.cs.auckland.ac.nz/~mcw/Research/mvGF/asymultseq/ACSVbook/. Wilson, Mark C. 1967- Erscheint auch als Druck-Ausgabe 9781107031579 Erscheint auch als Druck-Ausgabe 9781107471818 |
| 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, The University of Pennsylvania, Mark C. Wilson, University of Auckland |
| title_fullStr | Analytic combinatorics in several variables Robin Pemantle, The University of Pennsylvania, Mark C. Wilson, University of Auckland |
| title_full_unstemmed | Analytic combinatorics in several variables Robin Pemantle, The University of Pennsylvania, Mark C. Wilson, University of Auckland |
| title_short | Analytic combinatorics in several variables |
| title_sort | analytic combinatorics in several variables |
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