### Quick description

Many problems in mathematics require one to estimate a sum when it is not feasible to evaluate the sum exactly. This article contains links to articles that discuss techniques relevant to this general task.

### The articles

As a first approximation, neglect lower order terms

Use analytic expressions of constraints in sums or integrals

Partial summation When is this useful? ( If you have a sum of the form , partial summation allows you to replace the sequences and by the difference sequence and the partial-sums sequence . Partial summation is useful if the sum is easier to handle than the sum . (It is the discrete analogue of integration by parts.))

Bounding the sum by an integral

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