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New & Forthcoming Titles | The Concrete Tetrahedron - Symbolic Sums, Recurrence Equations, Generating Functions, Asymptotic

The Concrete Tetrahedron

Symbolic Sums, Recurrence Equations, Generating Functions, Asymptotic Estimates

Kauers, Manuel, Paule, Peter

2011, IX, 203 p.

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  • Presents concrete mathematics from a computer algebra perspective
  • Details concepts in an informal style: as simple as possible, as complicated as necessary
  • Includes motivating applications from combinatorics, computer science, number theory, special functions

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.

Content Level » Upper undergraduate

Keywords » asymptotics - formal power series - recurrence equations - symbolic computation - symbolic summation

Related subjects » Algebra - Number Theory and Discrete Mathematics

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