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Errors in Numerical Computations

1.0 INTRODUCTION

In practice, the applications of Mathematics ultimately results in numerical form. These results may be from the evolution of formulae, solutions of equations or inferences drawn from tabulated data.

Numerical analysis may be described as that branch of Mathematics which provides with convenient methods for obtaining numerical solutions to such problems.

Suppose for a certain experiment the heights of a set of university students are measured. The numbers representing the heights are only approximations, true to two or three decimal places. In general the data represent approximations. Sometimes, the process used to deal with the data is approximate. So, the error in a computed result may ...

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