Tables of Logarithms of Numbers, and of Logarithmic Sines, Tangents and Secants, to Seven Places of Decimals Together With Other Tables of Frequent in Practical Calculations Classic Reprint

Excerpt from Tables of Logarithms of Numbers, and of Logarithmic Sines, Tangents and Secants, to Seven Places of Decimals: Together With Other Tables of Frequent Use in the Study of Mathematics, and in Practical Calculations

T HE following collection of tables has been prepared, chiefly with a view to meet the wants of college students. Tables of much less extent would perhaps be regarded by many as suffi cient for this purpose: and such indeed are most of the tables in common use. These smaller tables are doubtless suitable enough for the illustration of principles and rules of calculation but from the inaccurate results which they usually give in the solu tion of problems, they enable the mathematical student who em ploys them, to see but little of the use of tables to the computer. Tables in which the logarithms of numbers are carried to as many as seven places of decimals are needed for the proper solution of many of the problems to be met with in any common course of mathematics. Indeed logarithms of five or six places of dec imals are now seldom used in calculations requiring any but the lowest degree of accuracy. In France, at the examinations for admission to the military and naval schools, candidates have for several years been required in their computations to use loga rithms of seven decimal figures. The tables which are there most generally used are those of Callet. The tables of like ex tent most commonly employed in England are Hutton's: and those of Vega are most used in Germany. The only similar ta bles hitherto published in this country are Hassler's: and these have been found so inconvenient from the smallness of the type in which they are printed, that they are much less used than those of Hutton and Callet imported from abroad'.

The following work is one of sufficient extent to furnish nearly the same aid to computers as is afforded by the tables of Hutton or Callet. In presenting it to the public, our principal concern is to show that proper care has been taken to secure its correct ness, in carrying it through the press; as a new work of this kind inaccurately printed would be worse than useless. We therefore state the following particulars. The pages of the tables were first made by the printer to agree very nearly with the copy. Four or five proofs of each were afterwards read in connection(4) preface.

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