Introduction to natural logarithm:

The natural logarithm is the logarithm with the constant e as the base, and it is denoted as lnn(n >；; 0)。 It is of great significance in physics, biology and other natural sciences, and is generally expressed as lnx. Logx is also commonly used in mathematics to represent natural logarithm.

History of natural logarithm:

The concept of logarithm begins with 16 14. Six years later, John Napier and Jost Bürgi published their own logarithmic tables. At that time, through a large number of exponentiation operations on the base close to 1, the logarithm of the specified range and precision and the corresponding real number were found. At that time, there was no rational power.

William Jones (British mathematician) published the concept of power exponent in 1742. According to later generations, yost burgui's base number 1.000 1 is quite close to the base number e of natural logarithm, while John Napier's base number 0.9999999 is quite close to1/e.

In fact, there is no need to do such a difficult operation as increasing power. John Napier spent 20 years calculating the equivalent of millions of multiplication operations. Henry Briggs suggested that Napier take 10 as the base, but failed. He partially completed the compilation of the common logarithm table in 1624 by his own method.

The first description of natural logarithm was found in Nicholas McCarto's book Logarithmotechnia published in 1668. He also independently discovered the same series, namely the McCarto series of natural logarithm. Around 1730, Euler defined the exponential function and natural logarithm which are reciprocal functions.

The famous Newton also studied logarithms later. The present logarithmic notation was put forward by Euler, a great mathematician, in 1748, and he first began to do in-depth research on exponential functions. The establishment of complex variable function makes people have a thorough understanding of logarithm.