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A plot of the Napierian logarithm for inputs between 0 and 10 8. The 19 degree pages from Napier's 1614 table of logarithms of trigonometric functions Mirifici Logarithmorum Canonis Descriptio. The term Napierian logarithm or Naperian logarithm, named after John Napier, is often used to mean the natural logarithm.
The tables can also be used as a table of Napierian logarithms for positive numbers less than one, using the sine values (Columns 2 and 6) as the argument and the log sine values (Columns 3 and 5) as the resulting logarithm. Reversing the procedure gives anti-logarithms.
The Napierian logarithms were published first in 1614. E. W. Hobson called it "one of the very greatest scientific discoveries that the world has seen." [1]: p.5 Henry Briggs introduced common (base 10) logarithms, which were easier to use. Tables of logarithms were published in many forms
[27] [28] [29] The development of logarithms is given credit as the largest single factor in the general adoption of decimal arithmetic. [30] The Trissotetras (1645) of Thomas Urquhart builds on Napier's work, in trigonometry. [31] Henry Briggs was an early adopter of the Napierian logarithm.
The natural logarithm of a number is its logarithm to the base of the mathematical constant e, which is an irrational and transcendental number approximately equal to 2.718 281 828 459. [1] The natural logarithm of x is generally written as ln x, log e x, or sometimes, if the base e is implicit, simply log x.
Pages in category "Logarithms" The following 64 pages are in this category, out of 64 total. ... Napierian logarithm; Natural logarithm; Natural logarithm of 2;
The number e is a mathematical constant approximately equal to 2.71828 that is the base of the natural logarithm and exponential function.It is sometimes called Euler's number, after the Swiss mathematician Leonhard Euler, though this can invite confusion with Euler numbers, or with Euler's constant, a different constant typically denoted .
1614 — John Napier publishes a table of Napierian logarithms in Mirifici Logarithmorum Canonis Descriptio, 1617 — Henry Briggs discusses decimal logarithms in Logarithmorum Chilias Prima, 1618 — John Napier publishes the first references to e in a work on logarithms.