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Format: Inbunden (Hardback)
Språk: Engelska
Antal sidor: 826
Utgivningsdatum: 2009-01-15
Utmärkelser: Choice Outstanding Academic Title
Förlag: Cambridge University Press
Medarbetare: Sedgewick, Robert
Illustrationer: 74 halftones 50 tables 200 worked examples
Dimensioner: 249 x 178 x 43 mm
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Antal komponenter: 1
Komponenter: 69:B&W 6.69 x 9.61 in or 244 x 170 mm (Pinched Crown) Case Laminate on White w/Gloss Lam
ISBN: 9780521898065

Analytic Combinatorics

Name: Analytic Combinatorics
Price: 1091.00 SEK
Availability: InStock
Author: Philippe Flajolet
ISBN: 9780521898065

av Philippe Flajolet

Inbunden, Engelska, 2009-01-15

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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 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.

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Mathematics and Computer Science III

Michael Drmota, Philippe Flajolet, Daniele Gardy, Bernhard Gittenberger

Mathematics and Computer Science III contains invited and contributed papers on combinatorics, random graphs and networks, algorithms analysis and trees, branching processes, constituting the Proceedings of the Third International Colloquium on Ma...

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Mathematics and Computer Science II

Brigitte Chauvin, Philippe Flajolet, Daniele Gardy, Abdelkader Mokkadem

This is the second volume in a series of innovative proceedings entirely devoted to the connections between mathematics and computer science. Here mathematics and computer science are directly confronted and joined to tackle intricate problems in ...

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'... 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

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.

Preface; An invitation to analytic combinatorics; Part A. Symbolic Methods: 1. Combinatorial structures and ordinary generating functions; 2. Labelled structures and exponential generating functions; 3. Combinatorial parameters and multivariate generating functions; Part B. Complex Asymptotics: 4. Complex analysis, rational and meromorphic asymptotics; 5. Applications of rational and meromorphic asymptotics; 6. Singularity analysis of generating functions; 7. Applications of singularity analysis; 8. Saddle-Point asymptotics; Part C. Random Structures: 9. Multivariate asymptotics and limit laws; Part D. Appendices: Appendix A. Auxiliary elementary notions; Appendix B. Basic complex analysis; Appendix C. Concepts of probability theory; Bibliography; Index.