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Calculating Logarithms with a Series
This series was often used to calculate logarithmic tables:
.
For
, this gives
. To calculate
, add
to the series with
, and so on.
Contributed by:
Izidor Hafner
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Reference
[1] G. M. Fihtenholjc,
Lectures in Differential and Integral Calculus
, Vol. 2, Moscow: Nauka, 1966 p. 381.
RELATED LINKS
Logarithm
(
Wolfram
MathWorld
)
Natural Logarithm
(
Wolfram
MathWorld
)
Vega's Calculation of Pi
(
Wolfram Demonstrations Project
)
PERMANENT CITATION
Izidor Hafner
"
Calculating Logarithms with a Series
"
http://demonstrations.wolfram.com/CalculatingLogarithmsWithASeries/
Wolfram Demonstrations Project
Published: September 20, 2013
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