Proof - A Proof That "e" is Irrational

Students are told that well-known numbers such as pi and e are irrational numbers, but rarely does a student see a proof that a specific number is irrational, other than the square root of 2, or perhaps the square root of any non-perfect-square number. We present a straightforward proof (from What is Mathematics? by Courant & Robbins, 1941) that the number e (the base of the natural logarithms) is an irrational number.

Category:

Education

Tags:

• math
• mathematics
• richard
• delaware
• umkc
• vsi
• supplemental
• instruction
• college
• algebra
• free
• lectures

[jolly246]

Elegant. And 12 mins long without even a single um or er.

[Kosekans]

Thank you for this.

Could you imagine to present the proof that e is transcendantal here on youtube?

[shaguali1]

wow! I'm so glad I found this. Thank you so much!

[dekippiesip]

 Thanks man, never heard of any explaination that is as good as this one!!

[lethalsub]

@evoTARDSareINSANE "Racist scum = lowest of the low" And what about yourself hypocrite?

[lethalsub]

@evoTARDSareINSANE Er, excuse me fraud, but aren't your comments on this video classified as 'trolling'?

[warnford]

very well done

[anticorncob6]

@evoTARDSareINSANE THEN YOU HEARD WRONG.

[evoTARDSareINSANE]

@anticorncob6

I heard you wear Nazi swastikas and goto the zoo to hump chimpanzees.

Troubled young lad you be.

[anticorncob6]

@evoTARDSareINSANE I AM NOT PART OF ANY OF THOSE ORGANIZATIONS... NICE STRAWMAN ATTEMPT THOUGH

[evoTARDSareINSANE]

@anticorncob6

I heard you're a NAZI

Racist scum = lowest of the low

[anticorncob6]

@evoTARDSareINSANE MY OTHER ACCOUNT ISN'T FOR TROLLING FAGGOT, YOU IGNORED WHAT I SAID AGAIN... THANKS FOR CONTRADICTING YOURSELF