Difference between revisions of "E"
From specialfunctionswiki
| Line 5: | Line 5: | ||
=Properties= | =Properties= | ||
[[Euler's formula]]<br /> | [[Euler's formula]]<br /> | ||
| − | + | [[e is irrational]]<br /> | |
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | </ | ||
=References= | =References= | ||
Revision as of 17:43, 24 June 2016
We define the real number $e$ to be the number such that $$\displaystyle\int_1^e \dfrac{1}{t} \mathrm{d}t=1.$$ By the definition of the logarithm, we have $\log(e)=1$. The value of $e$ is $$e=2.71828182846\ldots.$$
Properties
Euler's formula
e is irrational
References
- 1964: Milton Abramowitz and Irene A. Stegun: Handbook of mathematical functions ... (previous) ... (next): 4.1.16
