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Re: Towards a basis for Bruce Stark's Tables
From: Dan Allen
Date: 2003 Jan 3, 19:02 -0800
From: Dan Allen
Date: 2003 Jan 3, 19:02 -0800
On Friday, January 3, 2003, at 04:55 PM, Bruce Stark wrote: > I can't seem to find my book of trig and log tables by Gauss. But as I > recall, the author's initials were not the same as the more famous > Gauss. > Still, though the addition and subtraction logs may have been > published by a > Gauss-number-two, Gauss-number-one may have invented them. I'd like to > know. From http://100.1911encyclopedia.org/L/LO/LOGARITHM.htm: Addition and Subtraction, - or Gaussian Logarithms.�Gaussian logarithms are intended to facilitate the finding of the logarithms of the sum and difference of two numbers whose logarithms are known, the numbers themselves being unknown; and on this account they are frequently called addition and subtraction logarithms. The object of the table is in fact to give log (a~b) by only one entry when log a and log b are given. The utility of such logarithms was first pointed out by Leonelli ma book entitled Supplement logarithmique, printed at Bordeaux in the year XI. (180213); he calculated a table to 14 places, but only a specimen of it which appeared in the Sup plCment was printed. The first table that was actually published is due to Gauss, and was printed in Zach�s Monatliche Correspondenz, xxvi. 498 (1812). Corresponding to the argument log x it gives the values of log (I +x_i) and log (I +x).