Analytic Combinatorics

Philippe Flajolet, Robert Sedgewick

ISBN 10: 0521898064 / ISBN 13: 9780521898065

Published by Cambridge University Press, GB, 2009

About this Item

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.

Seller Inventory # LU-9780521898065

Bibliographic Details

• Title: Analytic Combinatorics
• Publisher: Cambridge University Press, GB
• Publication Date: 2009
• Language: English
• ISBN 10: 0521898064
• ISBN 13: 9780521898065
• Binding: Hardback
• Edition: 1st.
• Condition: New
• Dimensions: 17.78W x 4.45H x 24.77D centimeters 17.78 centimeters width by 4.45 centimeters height by 24.77 centimeters depth
• Weight: 1600 grams

About this title

Synopsis

Analytic Combinatorics is a self-contained treatment of the mathematics underlying the analysis of discrete structures, which has emerged over the past several decades as an essential tool in the understanding of properties of computer programs and scientific models with applications in physics, biology and chemistry. Thorough treatment of a large number of classical applications is an essential aspect of the presentation. Written by the leaders in the field of analytic combinatorics, this text is certain to become the definitive reference on the topic. The text is complemented with exercises, examples, appendices and notes to aid understanding therefore, it can be used as the basis for an advanced undergraduate or a graduate course on the subject, or for self-study.

About the Authors

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, New Jersey.