Advertisement

Abstract

We have seen that there is a great variation in the speed of convergence of series or sequences. Some are too slowly convergent to be summed directly on the fastest computer. This is the case of the logarithmic series
$$\log 2 = 1 - {\textstyle{1 \over 2}} + {\textstyle{1 \over 3}} - {\textstyle{1 \over 4}} + \ldots $$
in which a crude estimate for the remainder after n terms is n so that 2 × 106 terms would be needed to get a value of log 2 correct to 6D.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Birkhäuser Verlag, Basel 1979

Authors and Affiliations

  • John Todd
    • 1
  1. 1.California Institute of TechnologyUSA

Personalised recommendations