The Discovery of the Number e

Main post link ->

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
6 years, 3 months ago

No vote yet
4 votes

  Easy Math Editor

MarkdownAppears as
*italics* or _italics_ italics
**bold** or __bold__ bold

- bulleted
- list

  • bulleted
  • list

1. numbered
2. list

  1. numbered
  2. list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1

paragraph 2

paragraph 1

paragraph 2

[example link]( link
> This is a quote
This is a quote
    # I indented these lines
    # 4 spaces, and now they show
    # up as a code block.

    print "hello world"
# I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
MathAppears as
Remember to wrap math in \( ... \) or \[ ... \] to ensure proper formatting.
2 \times 3 \( 2 \times 3 \)
2^{34} \( 2^{34} \)
a_{i-1} \( a_{i-1} \)
\frac{2}{3} \( \frac{2}{3} \)
\sqrt{2} \( \sqrt{2} \)
\sum_{i=1}^3 \( \sum_{i=1}^3 \)
\sin \theta \( \sin \theta \)
\boxed{123} \( \boxed{123} \)


Sort by:

Top Newest

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

Note that this will heavily depend on your definition of \(e\).

Calvin Lin Staff - 6 years, 2 months ago

Log in to reply

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 - 6 years, 2 months ago

Log in to reply

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 - 5 years, 6 months ago

Log in to reply


Problem Loading...

Note Loading...

Set Loading...