Waste less time on Facebook — follow Brilliant.

The Discovery of the Number e

Main post link -> http://blog.brilliant.org/2013/02/17/the-discovery-of-the-number-e/

When most of us are first taught about the number , we are told that it is an irrational, transcendental number that is about 2.7182. Most people simply learn to manipulate . High school classes rarely mention where comes from. It is usually introduced when learning about exponents and logarithms as a “special” base that you will use a lot down the road. Early in high school I remember asking a teacher what was. I received the usual circular answer, that is the base of the natural logarithm which in turn is the logarithm of an exponent raised to the base of . This answer did not satisfy me, but I was told that I had to wait for calculus to learn other ways of approaching it’s definition...

Read the rest over at the blog.

Feel free to share your thoughts!

Note by Peter Taylor
3 years, 8 months ago

No vote yet
4 votes


Sort by:

Top Newest

I tried and failed to share the blog in facebook. I guess the button right there at the right corner of the blog was for sharing on facebook! Sheikh Asif Imran Shouborno · 2 years, 11 months ago

Log in to reply

How would you show that \(e\) is irrational?

Note that this will heavily depend on your definition of \(e\). Calvin Lin Staff · 3 years, 8 months ago

Log in to reply

@Calvin Lin Its simple . We write e=1+1/1!+1/2!......... and will suppose that e is rational . then e will be of form p/q . and it will be easy contradiction then Shivang Jindal · 3 years, 8 months ago

Log in to reply


Problem Loading...

Note Loading...

Set Loading...