Analytic combinatorics / Philippe Flajolet & Robert Sedgewick.

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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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Bibliographic Details
Main Authors:	Flajolet, Philippe (Author) Sedgewick, Robert, 1946- (Author)
Language:	English
Published:	Cambridge : Cambridge University Press, 2009.
Subjects:	Combinatorial analysis.
Online Access:	Connect to online resource - MSU authorized users (Digital Object Identifier Permalink)
Physical Description:	1 online resource (xiii, 810 pages) : digital, PDF file(s).
Format:	Electronic eBook

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.