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 gives a consultant for devising basic methods of fixing a given sum to a regular shape that may be evaluated . As such, Summa Summarum serves as either an advent and a reference for researchers, graduate and upper-level undergraduate scholars, and non-specialists alike: from instruments as precise because the so much classical principles of Euler to the new powerful laptop algorithms by means of Gosper and Wilf-Zeilberger. The e-book is self-contained with particularly few necessities and so might be available to a truly large readership.

This represents the 1st within the new Canadian Mathematical Society Treatises in Mathematics 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 equipment and effects from assorted components of present examine.

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