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Analytic Combinatorics

Ausgezeichnet: Choice Outstanding Academic Title 2009
BuchGebunden
826 Seiten
Englisch
Cambridge University Presserschienen am15.01.2009
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.mehr
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EUR74,80
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EUR81,99
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Produkt

KlappentextAnalytic 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.
ZusammenfassungThe definitive treatment of analytic combinatorics, from leaders in the field. Exercises, examples, appendices and notes aid understanding.
Details
ISBN/GTIN978-0-521-89806-5
ProduktartBuch
EinbandartGebunden
Erscheinungsjahr2009
Erscheinungsdatum15.01.2009
Seiten826 Seiten
SpracheEnglisch
Gewicht1600 g
Illustrationen74 b/w illus. 50 tables
Artikel-Nr.11595484

Inhalt/Kritik

Inhaltsverzeichnis
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.mehr
Kritik
'... 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 Newslettermehr

Autor

Robert Sedgewick, der an der Stanford University bei Donald Knuth promoviert hat, ist Professor für Informatik an der Princeton University. Als Berater für Java war der renommierte Software-Consultant Michael Schidlowski an der Entstehung des Buches beteiligt.