e (Euler's Number) - Numberphile

Dr James Grime discusses "e" - the famed Euler's Number.
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Videos by Brady Haran

[HalcyonSerenade]

"Don't put that in the video"

_Puts that in the video_

[Albeit_Jordan]

Teacher: In what year did the defeat of the Spanish Armada occur?
Me: Euler or Gauss.

[Gunbudder]

Math is just all about who can pronounce Euler the most correct

[MrDaraghkinch]

Pride x humility = "I would not have called it g, I would have hoped that someone else would have called it g and I would have accepted that."

[cyclingcycles]

I can't believe Euler predicted the meme.

[ganges]

Please don't ever stop making maths videos. I truly appreciate your explanation (history and reasoning). Love your work and truly admire what you are doing.

[AcmeRacing]

My Business Calculus professor at the University of Southern Maine was a big Euler fan. All of the classrooms Mainville used had a bit of graffiti; the Euler number, its square and its cube (all written out to five or six places) were written above the blackboard in magic marker. Since we used natural logs in the class, it was like an authorized cheat sheet during exams.

[edu]

December 31st 2019, 3:52 AM GMT
2.718.281 (e million) views
:)

[mattchandler]

If you graph x^y=y^x, you get two simultaneous graphs. One is x=y, and the other is some variation of y=1/x. They cross at the co-ordinate (e, e)

[illinoisdarkskystarparty]

Thank you! There are lots of discussions of e on Youtube, but this is by far the most lucid I have seen. I learned calculus 55 years ago, never used it in real life (I became a soldier and later a lawyer) and am returning to re-learn it at my own pace. This video has been a tremendous help in my understanding of this important concept.

[MohaMMaDiN]

I remembered when I first watched this video. It was like 2 years ago and I barely understand what’s going on. Now I watched it again after the previous 2 years and I found myself turned super focused. I understood everything

Thanks for your explanation

[rexlongfellow]

8:58 when they say Infinity War is the most ambitious crossover in history

[Stargazer]

I legitimately believe this will help when I try to do a college calculus class again. No one bothers to explain what’s going on with new material. When you understand why you use symbols and how, it makes it easier to solve things. Thank you.

[Arkhs]

I've been trying to understand the relevance of this for days, but you made it so damn simple to understand. Truly the best channel for maths content.

[stezenast]

e^(i*pi) = -1 is very useful in electrical engineering phasor notation and complex impedance. It essentially allows equations that would need calculus to solve to be easily solved algebraically.

[jawadulkabir]

I think this is the first numberphile video I ever watched and I come back to rewatch it every once in a while. I just love it.

[superscienceshow]

The relation and usefulness of e, I, and trigonometry melted my mind.

[clumsyjester]

e^(i*pi)+1=0 not only brings together the most important constants, but also the basic arithmetic operations addition, multiplication and exponentiation.

[subaduck]

I'm a complete mathematical moron, and yet I've always been fascinated by higher level maths. The idea of calculus, even geometry is just amazing. I've never in my life found anybody who could get me through a college level algebra course. I get close, but have never been able to finish it. I feel as though I've always sat outside the sun, watching other people achieve and understand this. I'm a sort of "Flowers For Algernon" guy. In any case, this is really interesting.

[christophergould]

Great video. I nearly understood what he was on about!