Concrete tetrahedron : symbolic sums, recurrence equations, generating functions, asymptotic estimates
- Vienna Springer 2011
- ix, 203 p. ill. 24 cm.
- Texts and monographs in symbolic computation 0943-853X .
Includes bibliographical references and 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.
9783709104446
Numerical analysis Algorithms Algebra Informatique Functions Discrete Mathematics Combinatorial analysis Number theory Data processing