By Mogens Esrom Larsen
Each mathematician, and consumer of arithmetic, must manage sums or to discover and deal with combinatorial identities. during this e-book, the writer presents a coherent travel of many recognized finite algebraic sums and provides a advisor for devising easy methods of adjusting a given sum to a typical shape that may be evaluated . As such, Summa Summarum serves as either an creation and a reference for researchers, graduate and upper-level undergraduate scholars, and non-specialists alike: from instruments as targeted because the so much classical principles of Euler to the hot powerful desktop algorithms by means of Gosper and Wilf-Zeilberger. The publication is self-contained with quite few must haves and so can be available to a really huge readership. This represents the 1st within the new Canadian Mathematical Society Treatises in arithmetic sequence of books: a set of brief monographs, devoted to good outlined matters of present curiosity. those treatises emphasize the interdisciplinary personality of the mathematical sciences and facilitate integration of tools and effects from diversified parts of present examine.