Analytic Combinatorics.

The definitive treatment of analytic combinatorics, from leaders in the field. Exercises, examples, appendices and notes aid understanding.

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Bibliographic Details
Main Author: Flajolet, Philippe
Other Authors: Sedgewick, Robert
Format: eBook
Language:English
Published: Leiden : Cambridge University Press, 2009.
Subjects:
Online Access:Click for online access
Table of Contents:
  • Cover; Half-title; Title; Copyright; Contents; Preface; An Invitation to Analytic Combinatorics; Part A SYMBOLIC METHODS; I Combinatorial Structures and Ordinary Generating Functions; II Labelled Structures and Exponential Generating Functions; III Combinatorial Parameters and Multivariate Generating Functions; Part B COMPLEX ASYMPTOTICS; IV Complex Analysis, Rational and Meromorphic Asymptotics; V Applications of Rational and Meromorphic Asymptotics; VI Singularity Analysis of Generating Functions; VII Applications of Singularity Analysis; VIII Saddle-point Asymptotics.
  • Part C RANDOM STRUCTURESIX Multivariate Asymptotics and Limit Laws; Part D APPENDICES; APPENDIX A Auxiliary Elementary Notions; APPENDIX B Basic Complex Analysis; APPENDIX C Concepts of Probability Theory; Bibliography; Index.