Analytic Combinatorics
Autor Philippe Flajolet, Robert Sedgewicken Limba Engleză Hardback – 14 ian 2009
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Specificații
ISBN-13: 9780521898065
ISBN-10: 0521898064
Pagini: 826
Ilustrații: 74 b/w illus. 50 tables
Dimensiuni: 178 x 254 x 45 mm
Greutate: 1.56 kg
Editura: Cambridge University Press
Colecția Cambridge University Press
Locul publicării:Cambridge, United Kingdom
ISBN-10: 0521898064
Pagini: 826
Ilustrații: 74 b/w illus. 50 tables
Dimensiuni: 178 x 254 x 45 mm
Greutate: 1.56 kg
Editura: Cambridge University Press
Colecția Cambridge University Press
Locul publicării:Cambridge, United Kingdom
Cuprins
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.
Recenzii
'… 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
Notă biografică
Descriere
The definitive treatment of analytic combinatorics, from leaders in the field. Exercises, examples, appendices and notes aid understanding.