Euler number (e)

For my first post, I bring to you some information of one of the most famous special numbers on Mathematics, the number of Euler, most known as number e. This number appears many times, mostly of them to makes our lifes more difficult, it´s scary when you see it, because that means that the problem will turn a little bit more difficult, but once you´ve practice with it, it can be your friend when resolving a problem.

The number of Euler is a mathematician constant, it´s discovery was credited to Jacob Bernoulli, but the constant then was symbolized with the letter b. Was Leonhard Euler who started representing it with the letter e.

It has infinite decimals, as it is irrational, but the first decimals are easy to remember, here you have a little trick. The first three numbers are well known (2.71). Then you have the number 1828 that it appears doubled and finally you have the angles of a Right-angled isosceles triangle, which are 45º, 90º, 45º. Then you´ve got: e=2.7118281828459045…

An interesting property of the number e, if you divide a number into parts, and then you multiply those parts together, you´re going to get a number, but, did you know that the closer that number is to the e number (2.71), the bigger the final number is? Let´s demonstrate it with an example:

                -We have the number 12 for instance, then we divide it into equal parts: 20/4=5, then we do five to the power of four: 5x5x5x5=1024. But if we want the highest number that that formula could give, we have to divide our number (20) with a number that gives as result of the division a number close to the Euler number:

                                               20/8=2.5

                                               2.5^8=1525.87…

But if we, instead of 8, we divide 20 by for example 9, we´ve got 2.22…

                                               Then 2.22^9=1309.715

I hope you found these info at least interesting or useful!