The concrete tetrahedron : symbolic sums, recurrence equations, generating functions, asymptotic estimates / Manuel Kauers, Peter Paule
Type de document : MonographieCollection : Texts and monographs in symbolic computationLangue : anglais.Pays: Autriche.Éditeur : Wien : Springer, cop. 2011Description : 1 vol. (IX-203 p.) : fig. ; 24 cmISBN: 9783709104446.ISSN: 0943-853X.Bibliographie : Bibliogr. p.193-195. Index.Sujet MSC : 05-01, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to combinatorics05A15, Enumerative combinatorics, Exact enumeration problems, generating functions
11B37, Number theory - Sequences and sets, Recurrences
68W30, Algorithms in computer science, Symbolic computation and algebraic computationEn-ligne : Sommaire | Zentralblatt | MathSciNet
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Bibliogr. p.193-195. Index
The book treats four mathematical concepts which play a fundamental role in many different areas of mathematics: symbolic sums, recurrence (difference) equations, generating functions, and asymptotic estimates. Their key features, in isolation or in combination, their mastery by paper and pencil or by computer programs, and their applications to problems in pure mathematics or to "real world problems" (e.g. the analysis of algorithms) are studied. The book is intended as an algorithmic supplement to the bestselling "Concrete Mathematics" by Graham, Knuth and Patashnik. (Source : Springer)
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