Description 
1 online resource (xiii, 810 pages) : illustrations 

text txt rdacontent 

computer c rdamedia 

online resource cr rdacarrier 
Note 
Title from title screen. 
Bibliography 
Includes bibliographical references and index. 
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  Saddlepoint asymptotics  Random structures  Multivariate asymptotics and limit laws  Appendix A : Auxiliary elementary notions  Appendix B : Basic complex analysis  Appendix C : Concepts of probability theory. 
Summary 
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 selfstudy. 
Subject 
Combinatorial analysis.


MATHEMATICS  Combinatorics.


Combinatorial analysis. (OCoLC)fst00868961


Combinatieleer.

Genre/Form 
Electronic books.


Electronic book.

Added Author 
Sedgewick, Robert, 1946

Other Form: 
Print version: Flajolet, Philippe. Analytic combinatorics. Cambridge ; New York : Cambridge University Press, 2009 0521898064 9780521898065 (OCoLC)244767782 
ISBN 
9780511480799 (electronic bk.) 

0511480792 (electronic bk.) 

9780511801655 (electronic bk.) 

0511801653 (electronic bk.) 

9780511477591 (electronic bk.) 

0511477597 (electronic bk.) 

0511479999 (electronic bk.) 

9780511479991 (electronic bk.) 

0521898064 

9780521898065 
Standard No. 
AU@ 000052005778 

AU@ 000062468776 

CDX 9821458 

DEBBG BV041432680 

DEBSZ 372806376 

DEBSZ 39828606X 
