The existence of transcendental numbers was first proved by French mathematician joseph liouville (1809 ~ 1882) in 1844.
Regarding the existence of transcendental numbers, joseph liouville wrote the following infinite decimal a = 0.11000010000000001000 ... (a =110 (. )+ 1/ 10^(3! )+…), and it is proved that taking this a cannot satisfy any polynomial equation with integer coefficients, and it is proved that it is not an algebraic number, but a transcendental number.
Later, in order to commemorate his first proof of transcendental number, people called this number Louisville number.
Proof of transcendental number:
After the liouville number was proved, many mathematicians devoted themselves to the study of transcendental numbers. 1873, the French mathematician Charles Hermite (1822 ~ 190 1) proved the transcendence of the base e of natural logarithm, which made people understand the transcendental number more clearly. 1882, German mathematician Lin Deman proved that pi is also a transcendental number (completely denying the possibility of drawing a circle as a square).
In the process of studying transcendental numbers, david hilbert once put forward a conjecture: A is an algebraic number that is not equal to 0 and 1, B is an irrational algebraic number, and A B is a transcendental number (the seventh problem in the Hilbert problem).
This conjecture has been proved, so it can be concluded that e and π are transcendental numbers.