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.
By:
Marko Petkovsek, Herbert S Wilf, Doron Zeilberger Foreword by:
Donald E. Knuth Imprint: A K Peters Country of Publication: United States Dimensions:
Height: 235mm,
Width: 191mm,
Spine: 22mm
Weight: 660g ISBN:9781568810638 ISBN 10: 1568810636 Pages: 230 Publication Date:01 January 1996 Audience:
College/higher education
,
Professional and scholarly
,
Professional & Vocational
,
A / AS level
,
Further / Higher Education
Format:Hardback Publisher's Status: Active
I: Background 1. Proof Machines 2. Tightening the Target 3. The Hypergeometric Database II: The Five Basic Algorithms 4. Sister Celine’s Method 5. Gosper’s Algorithm 6. Zeilberger’s Algorithm 7. The WZ Phenomenon 8. Algorithm Hyper III: Epilogue 9. An Operator Algebra Viewpoint
Petkovsek, Marko; Wilf, Herbert S; Zeilberger, Doron