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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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Flajolet, Philippe
Otros Autores: Sedgewick, Robert, 1946-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge ; New York : Cambridge University Press, 2009.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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.