Analytic Combinatorics

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Philippe Flajolet (Institut National de Recherche en Informatique et en Automatique (INRIA), Rocquencourt) Robert Sedgewick (Princeton University, New Jersey)

Analytic Combinatorics

Philippe Flajolet (Institut National de Recherche en Informatique et en Automatique (INRIA), Rocquencourt), Robert Sedgewick (Princeton University, New Jersey)

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English

Cambridge University Press
15 January 2009

Probability & statistics; Combinatorics & graph theory

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.

By: Philippe Flajolet (Institut National de Recherche en Informatique et en Automatique (INRIA) Rocquencourt), Robert Sedgewick (Princeton University, New Jersey)
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Dimensions: Height: 254mm, Width: 178mm, Spine: 45mm
Weight: 1.600kg
ISBN: 9780521898065
ISBN 10: 0521898064
Pages: 826
Publication Date: 15 January 2009
Audience: Professional and scholarly , Undergraduate
Format: Hardback
Publisher's Status: Active

Philippe Flajolet is Research Director of the Algorithms Project at INRIA Rocquencourt. Robert Sedgewick is William O. Baker Professor of Computer Science at Princeton University.

Reviews for Analytic Combinatorics

'... thorough and self-contained ... presentation of ... topics is very well organised ... provides an ample amount of examples and illustrations, as well as a comprehensive bibliography. It is valuable both as a reference work for researchers working in the field and as an accessible introduction suitable for students at an advanced graduate level.' EMS Newsletter