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...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge ; New York :
Cambridge University Press,
2009.
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| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | 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. |
| Beschreibung: | Title from title screen. |
| Beschreibung: | 1 online resource (xiii, 810 pages) : illustrations |
| Bibliographie: | 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 |
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| 260 | |a Cambridge ; |a New York : |b Cambridge University Press, |c 2009. | ||
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| 504 | |a Includes bibliographical references and index. | ||
| 505 | 0 | |a Symbolic methods -- Combinatorial structures and ordinary generating functions -- Labelled structures and exponential generating functions -- Combinatorial parameters and multivariate generating functions -- Complex asymptotics -- Complex analysis, rational and meromorphic asymptotics -- Applications of rational and meromorphic asymptotics -- Singularity analysis of generating functions -- Applications of singularity analysis -- Saddle-point asymptotics -- Random structures -- Multivariate asymptotics and limit laws -- Appendix A : Auxiliary elementary notions -- Appendix B : Basic complex analysis -- Appendix C : Concepts of probability theory. | |
| 520 | |a 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. | ||
| 546 | |a English. | ||
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Datensatz im Suchindex
| DE-BY-FWS_katkey | ZDB-4-EBA-ocn489194625 |
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| _version_ | 1816881701878497280 |
| adam_text | |
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| author | Flajolet, Philippe |
| author2 | Sedgewick, Robert, 1946- |
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| contents | Symbolic methods -- Combinatorial structures and ordinary generating functions -- Labelled structures and exponential generating functions -- Combinatorial parameters and multivariate generating functions -- Complex asymptotics -- Complex analysis, rational and meromorphic asymptotics -- Applications of rational and meromorphic asymptotics -- Singularity analysis of generating functions -- Applications of singularity analysis -- Saddle-point asymptotics -- Random structures -- Multivariate asymptotics and limit laws -- Appendix A : Auxiliary elementary notions -- Appendix B : Basic complex analysis -- Appendix C : Concepts of probability theory. |
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| genre | Electronic book. Electronic books. |
| genre_facet | Electronic book. Electronic books. |
| id | ZDB-4-EBA-ocn489194625 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:16:54Z |
| institution | BVB |
| isbn | 9780511480799 0511480792 9780511801655 0511801653 9780511477591 0511477597 0511479999 9780511479991 0521898064 9780521898065 0511476140 9780511476143 1107202027 9781107202023 1282001655 9781282001657 9786612001659 6612001658 0511479115 9780511479113 |
| language | English |
| lccn | 2009280635 |
| oclc_num | 489194625 |
| open_access_boolean | |
| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (xiii, 810 pages) : illustrations |
| psigel | ZDB-4-EBA |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | Cambridge University Press, |
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| spelling | Flajolet, Philippe. http://id.loc.gov/authorities/names/n89134436 Analytic combinatorics / Philippe Flajolet & Robert Sedgewick. Cambridge ; New York : Cambridge University Press, 2009. 1 online resource (xiii, 810 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier data file rda Title from title screen. Includes bibliographical references and index. Symbolic methods -- Combinatorial structures and ordinary generating functions -- Labelled structures and exponential generating functions -- Combinatorial parameters and multivariate generating functions -- Complex asymptotics -- Complex analysis, rational and meromorphic asymptotics -- Applications of rational and meromorphic asymptotics -- Singularity analysis of generating functions -- Applications of singularity analysis -- Saddle-point asymptotics -- Random structures -- Multivariate asymptotics and limit laws -- Appendix A : Auxiliary elementary notions -- Appendix B : Basic complex analysis -- Appendix C : Concepts of probability theory. 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. English. Combinatorial analysis. http://id.loc.gov/authorities/subjects/sh85028802 Analyse combinatoire. MATHEMATICS Combinatorics. bisacsh Combinatorial analysis fast Kombinatorische Analysis gnd http://d-nb.info/gnd/4164746-4 Erzeugende Funktion gnd http://d-nb.info/gnd/4152979-0 Kombinatorik gnd http://d-nb.info/gnd/4031824-2 Combinatieleer. gtt Kombinatorik. sao Electronic book. Electronic books. Sedgewick, Robert, 1946- https://id.oclc.org/worldcat/entity/E39PBJvd7wrwtkKm8dKM46bfMP http://id.loc.gov/authorities/names/n79041486 has work: Analytic combinatorics (Text) https://id.oclc.org/worldcat/entity/E39PCGRTFcvfh8B44g4KdthDVP https://id.oclc.org/worldcat/ontology/hasWork Print version: Flajolet, Philippe. Analytic combinatorics. Cambridge ; New York : Cambridge University Press, 2009 0521898064 9780521898065 (OCoLC)244767782 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=269243 Volltext |
| spellingShingle | Flajolet, Philippe Analytic combinatorics / Symbolic methods -- Combinatorial structures and ordinary generating functions -- Labelled structures and exponential generating functions -- Combinatorial parameters and multivariate generating functions -- Complex asymptotics -- Complex analysis, rational and meromorphic asymptotics -- Applications of rational and meromorphic asymptotics -- Singularity analysis of generating functions -- Applications of singularity analysis -- Saddle-point asymptotics -- Random structures -- Multivariate asymptotics and limit laws -- Appendix A : Auxiliary elementary notions -- Appendix B : Basic complex analysis -- Appendix C : Concepts of probability theory. Combinatorial analysis. http://id.loc.gov/authorities/subjects/sh85028802 Analyse combinatoire. MATHEMATICS Combinatorics. bisacsh Combinatorial analysis fast Kombinatorische Analysis gnd http://d-nb.info/gnd/4164746-4 Erzeugende Funktion gnd http://d-nb.info/gnd/4152979-0 Kombinatorik gnd http://d-nb.info/gnd/4031824-2 Combinatieleer. gtt Kombinatorik. sao |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85028802 http://d-nb.info/gnd/4164746-4 http://d-nb.info/gnd/4152979-0 http://d-nb.info/gnd/4031824-2 |
| title | Analytic combinatorics / |
| title_auth | Analytic combinatorics / |
| title_exact_search | Analytic combinatorics / |
| title_full | Analytic combinatorics / Philippe Flajolet & Robert Sedgewick. |
| title_fullStr | Analytic combinatorics / Philippe Flajolet & Robert Sedgewick. |
| title_full_unstemmed | Analytic combinatorics / Philippe Flajolet & Robert Sedgewick. |
| title_short | Analytic combinatorics / |
| title_sort | analytic combinatorics |
| topic | Combinatorial analysis. http://id.loc.gov/authorities/subjects/sh85028802 Analyse combinatoire. MATHEMATICS Combinatorics. bisacsh Combinatorial analysis fast Kombinatorische Analysis gnd http://d-nb.info/gnd/4164746-4 Erzeugende Funktion gnd http://d-nb.info/gnd/4152979-0 Kombinatorik gnd http://d-nb.info/gnd/4031824-2 Combinatieleer. gtt Kombinatorik. sao |
| topic_facet | Combinatorial analysis. Analyse combinatoire. MATHEMATICS Combinatorics. Combinatorial analysis Kombinatorische Analysis Erzeugende Funktion Kombinatorik Combinatieleer. Kombinatorik. Electronic book. Electronic books. |
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| work_keys_str_mv | AT flajoletphilippe analyticcombinatorics AT sedgewickrobert analyticcombinatorics |