video thumbnail 18:37
The number e explained in depth for (smart) dummies

2017-03-30

[public] 296K views, 10.5K likes, 118 dislikes audio only

channel thumbMathologer

In this follow-up video to his "e to the i pi for dummies" video the Mathologer sets out to properly explain the coolest features of the famous number e and the exponential function e^x. Find out WHY e is irrational, how you go about calculating the first 1,000,000 digits of e, WHY the exponential function e^x is its own derivative, etc.

Here are links to the videos that I refer to in this video:

e to the pi i for dummies: /youtube/video/-dhHrg-KbJ0 (this is the video I summarise at the beginning)

Indeterminate: the hidden power of 0 divided by 0: /youtube/video/oc0M1o8tuPo (about derivatives, among other things)

Math in the Simpsons: e to the i pi: https://youtu.be/Yi3bT-82O5s (this is the video that I refer to at the very end)

This week's t-shirt I made myself. Check out this wiki page about this pretty identity https://en.wikipedia.org/wiki/Proof_that_22/7_exceeds_π

Thank you very much to my friend Marty Ross for proofwatching drafts of this video and helping me to get the words "just right" and to Danil Dmitriev the official Mathologer translator for Russian for his subtitles.

Enjoy!


e to the pi i for dummies by Mathologer
/youtube/video/-dhHrg-KbJ0
Indeterminate: the hidden power of 0 divided by 0 by Mathologer
/youtube/video/oc0M1o8tuPo
Math in the Simpsons: e to the i pi by Mathologer
youtube.com/watch?v=Yi3bT-82O5s
Fundamental Facts about the Number E
/youtube/video/DoAbA6rXrwA?t=31.24
E Is an Irrational Number
/youtube/video/DoAbA6rXrwA?t=74.228996
Binomial Coefficients
/youtube/video/DoAbA6rXrwA?t=253.17999
The Maclaurin Series of the Exponential Function
/youtube/video/DoAbA6rXrwA?t=356.89001
Infinite Sum
/youtube/video/DoAbA6rXrwA?t=416.17999
Derivative of the Exponential
/youtube/video/DoAbA6rXrwA?t=851.76001
Derivative of Log X
/youtube/video/DoAbA6rXrwA?t=963.39001