Approximate Computations

  • I. N. Bronshtein
  • K. A. Semendyayev


Approximate computations. In any computation, we should always bear in mind the accuracy which is desirable and which it is possible to acquire. It is absolutely impossible to do the computation with a greater accuracy than that allowed by the data; it is aimless to do the computation with a greater accuracy than is desirable (for example, one should not use seven figure logarithms, when the data are to 5 significant figures only). Every one who does computations should be well acquainted with the rules of approximate computation.


Significant Figure Logarithmic Scale Approximate Computation Correct Figure Cube Root 
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  1. (1).
    It is often required in this definition that the error should not exceed one half of one unit of the last figure of the approximate value. In connection with this, see p. 134 (“rounding”).Google Scholar
  2. (1).
    If a possible error of rounding is taken into account, then it should be put (1 + z) δa ≤ 0.5 · 101-n.Google Scholar
  3. (1).
    This scheme should be changed for the slide rules with the scale S of the length 12.5 cm (see p. 141).Google Scholar
  4. (1).
    See footnote on p. 140.Google Scholar

Copyright information

© Verlag Harri Deutsch, Zürich 1973

Authors and Affiliations

  • I. N. Bronshtein
  • K. A. Semendyayev

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