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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.
Autor: Kauers, Manuel Paule, Peter
ISBN: 9783709104446
Sprache: Englisch
Seitenzahl: 203
Produktart: Kartoniert / Broschiert
Verlag: Springer Wien
Veröffentlicht: 01.12.2010
Untertitel: Symbolic Sums, Recurrence Equations, Generating Functions, Asymptotic Estimates
Schlagworte: asymptotics combinatorics formal power series recurrence equations symbolic computation symbolic summation