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Author Flajolet, Philippe.

Title Analytic combinatorics / Philippe Flajolet & Robert Sedgewick.

Imprint Cambridge ; New York : Cambridge University Press, 2009.


Location Call No. OPAC Message Status
 Axe Books 24x7 IT E-Book  Electronic Book    ---  Available
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 -- 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.
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 self-study.
Subject Combinatorial analysis.
MATHEMATICS -- Combinatorics.
Combinatorial analysis. (OCoLC)fst00868961
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.)
Standard No. AU@ 000052005778
AU@ 000062468776
CDX 9821458
DEBBG BV041432680
DEBSZ 372806376
DEBSZ 39828606X

Available items only