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E (mathematical constant) - Simple English Wikipedia, the free encyclopedia

E (mathematical constant)

From the Simple English Wikipedia, the free encyclopedia that anyone can change

e is a mathematical constant. It also has other names, like Euler's number (because of the Swiss mathematician Leonhard Euler), or Napier's constant (because of the Scottish mathematician John Napier). It is an important number in mathematics, like π and i. It is an irrational number, which means it is impossible to write as a fraction with two integers; but some numbers, like 2.71828182845904523536 come close to the real value.

The number e is very important for exponential functions. For example, an exponential function becomes bigger by a factor e in the same time that a linear function (one that looks like a straight line) becomes bigger by a factor 2.

[change] Definitions

The true value of e is a number that never ends, but one definition is the solution to this formula:

2+\cfrac{2}{2+\cfrac{3}{3+\cfrac{4}{4+\cfrac{5}{5+\cfrac{6}{\ddots\,}}}}}

[change] The first 200 places of the number e

The first 200 digits after the decimal point are:

e=2{.}71828\;18284\;59045\;23536\;02874\;71352\;66249\;77572\;47093\;69995
\;95749\;66967\;62772\;40766\;30353\;54759\;45713\;82178\;52516\;64274
\;27466\;39193\;20030\;59921\;81741\;35966\;29043\;57290\;03342\;95260
\;59563\;07381\;32328\;62794\;34907\;63233\;82988\;07531\;95251\;01901\,\ldots.

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