• Shashank Raj

What is e ?

Updated: Jan 18

The number e, known as Euler's number, is a mathematical constant approximately equal to 2.71828, and can be characterized in many ways......blah....blah.....

But have you ever wondered how it came into existence.

Actually Leonhard Euler introduced the letter e as the base for natural logarithms, writing in a letter to Christian Goldbach on 25 November 1731, that might seem weird to you but that's the truth.


Now, let us imagine it graphically, the graph of Euler's number when plotted on graph it turns out to be somewhat like this,

Image Credit: Numberphile


Now you must have got the big picture of it.


And Even more fun when you simulate it yourself, you can definitely try exploring GeoGebra, Desmos etc. online to simulate graphs ( Will discuss about it very soon).


To conclude my first blog in this category, let me tell you some awesome application of e ,

  1. Bacteria Growth Rate (If you are in High School then you might have been familiar with it)

  2. Population Growth Models.

  3. Serves as the base for natural Logarithm.

I don't want to tell you some rocket science level examples that might dismay you, so keeping it simple, this is probably the end of this bit of information.


Will keep updating you on it....



BONUS:

e does have a significant role in game theory, probabilities or other branches....


For example if you are given a long thread measuring n cm , and you are asked to cut in equal pieces such that the product of their lengths is as big as possible, then you will be surprised to know that the answer would be [n/e] where [] signifies greatest integer function.

(I got to know this from socratic.org somewhere in mid 2018's)


And to experience the power of e , see this free and open source video from YouTube,





So keep learning not for scores but for knowledge....








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