The Concrete Tetrahedron Symbolic Sums, Recurrence Equations, Generating Functions, Asymptotic Estimates /

• Main Authors: Kauers, Manuel (Author), Paule, Peter (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Vienna : Springer Vienna : Imprint: Springer, 2011.
• Series: Texts and Monographs in Symbolic Computation, A Series of the Research Institute for Symbolic Computation, Johannes Kepler University Linz, Austria,
• Subjects: Mathematics.; Algebra.; Number theory.; Discrete mathematics.; Combinatorics.; Discrete Mathematics.; Number Theory.
• Physical Description: IX, 203 p. online resource.
• ISBN: 9783709104453
• ISSN: 0943-853X

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.