Definition:Numerical Analysis/Motivation

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Numerical Analysis: Motivation

It is impossible to write down an exact decimal representation of a solution to certain equations, as they may be irrational.

Certain other problems are defined by equations which cannot be solved using analytical methods.


The aim of numerical methods is to provide practical procedures for calculating the solutions of problems in applied mathematics to a specified degree of accuracy.
-- B. Noble: Numerical Methods: Volume $\text { 1 }$

To produce a number which answers a problem is only one aspect of the topic of numerical analysis.

The other aspect, usually more difficult, is to ensure that the answer is correct within particular stated limits.