This book is of interest to mathematicians and computer scientists
working in finite mathematics and combinatorics. It presents a
breakthrough method for analyzing complex summations. Beautifully
written, the book contains practical applications as well as
conceptual developments that will have applications in other areas
of mathematics. From the table of contents: * Proof Machines *
Tightening the Target * The Hypergeometric Database * The Five
Basic Algorithms: Sister Celine's Method, Gosper&'s Algorithm,
Zeilberger's Algorithm, The WZ Phenomenon, Algorithm Hyper *
Epilogue: An Operator Algebra Viewpoint * The WWW Sites and the
Software (Maple and Mathematica) Each chapter contains an
introduction to the subject and ends with a set of exercises.
General
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