In mathematics, summation by parts transforms the summation of products of sequences into other summations, often simplifying the computation or (especially) estimation of certain types of sums. The rule states: Wikibooks Wikiversity has more about this subject: School of Mathematics Wikiquote has a collection of quotations by or about: Mathematics Look up Mathematics in Wiktionary, the free dictionary Wikimedia Commons has more media related to: Mathematics Bogomolny, Alexander: Interactive Mathematics Miscellany and Puzzles. ... Addition is one of the basic operations of arithmetic. ...
Suppose {ak} and {bk} are two sequences. Then, This is a page about mathematics. ...
Using the difference operator, it can be stated as more succinctly as In mathematics, a difference operator maps a function f(x) to another function f(x + a) − f(x + b). ...
as an analogue to the integration by parts formula, In calculus, and more generally in mathematical analysis, integration by parts is a rule that transforms the integral of products of functions into other, possibly simpler, integrals. ...
The summation by parts formula is sometimes called Abel's lemma.
External link
"Abel's lemma" article at PlanetMath.org (http://planetmath.org/encyclopedia/AbelsLemma.html)
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