In this video I'm presenting a neat proof that e is irrational, using only calculus techniques, although I'm not even using that much calculus. It's elementary, but not easy! :) Enjoy!
From playlist Series
From the creators of "e is irrational" comes now the proof that pi is irrational. This proof is originally due to Niven and only uses calculus, but it is very non-intuitive. That said, it is absolutely fascinating, so be prepared for a fun ride!
From playlist Cool proofs
e + π or eπ might be Rational... but not BOTH!
e + π or eπ might be Rational. We just don't know. But we DO know that at least one of them is irrational. How could we know such a thing? Sometimes a mathematical proof provides only a hint.
From playlist e
Why is e irrational? - Week 4 - Lecture 10 - Sequences and Series
Subscribe at http://www.youtube.com/kisonecat
From playlist Ohio State: Calculus Two with Jim Fowler: Sequences and Series | CosmoLearning Mathematics
Fourier's Proof that e is Irrational
Joseph Fourier created an accessible proof that e is an irrational number. Here it is. Life of Riley by Kevin MacLeod Link: https://incompetech.filmmusic.io/song/3976-life-of-riley License: https://filmmusic.io/standard-license
From playlist e
Can an Irrational Number to Irrational Power be Rational?
Solution on Lemma: http://lem.ma/J7 Twitter: https://twitter.com/PavelGrinfeld
From playlist Problems, Paradoxes, and Sophisms
Set Theory (Part 18): The Rational Numbers are Countably Infinite
Please feel free to leave comments/questions on the video and practice problems below! In this video, we will show that the rational numbers are equinumerous to the the natural numbers and integers. First, we will go over the standard argument listing out the rational numbers in a table a
From playlist Set Theory by Mathoma
π is Irrational: A Simple Proof 🥧
π is Irrational: A Simple Proof. A little basic calculus is all you need. Based on Ivan Niven's one-page proof: http://bit.ly/NivenPi My own rendition of Niven's proof: bit.ly/IrrationalPi [I wrote a book! https://amzn.to/3tI332x]
From playlist π 🥧
Proof that the square root of ANY integer is irrational (besides perfect squares)
Forget proving that the square root of 2 is irrational. We're proving that the square root of every positive integer is irrational, as long as it's not a perfect square! New math videos every Monday and Friday. Subscribe to make sure you see them! Music: C418 - "What" from "Bushes and Ma
From playlist Challenge Problems
The PROOF: e and pi are transcendental
Today’s video is dedicated to introducing you to two of the holy grails of mathematics, proofs that e and pi are transcendental numbers. For the longest time I was convinced that these proofs were simply out of reach of a self-contained episode of Mathologer, and I even said so in a video
From playlist Recent videos
"Transcendental Number Theory: Recent Results and Open Problems" by Prof. Michel Waldschmidt
This lecture will be devoted to a survey of transcendental number theory, including some history, the state of the art and some of the main conjectures.
From playlist Number Theory Research Unit at CAMS - AUB
Pi is IRRATIONAL: simplest proof on toughest test
NEW (Christmas 2019). Two ways to support Mathologer Mathologer Patreon: https://www.patreon.com/mathologer Mathologer PayPal: paypal.me/mathologer (see the Patreon page for details) In the last video of 2017 I showed you Lambert’s long but easy-to-motivate 1761 proof that pi is irratio
From playlist Recent videos
Pi is IRRATIONAL: animation of a gorgeous proof
NEW (Christmas 2019). Two ways to support Mathologer Mathologer Patreon: https://www.patreon.com/mathologer Mathologer PayPal: paypal.me/mathologer (see the Patreon page for details) This video is my best shot at animating and explaining my favourite proof that pi is irrational. It is
From playlist Recent videos
A proof that e is irrational - Numberphile
Professor Ed Copeland shows a proof by Joseph "Voldemort" Fourier that e is irrational. Check out episode sponsor http://KiwiCo.com/Numberphile for 50% off your first month of any subscription. The crates are great! More links & stuff in full description below ↓↓↓ Ed Copeland is a physics
From playlist Ed Copeland on Numberphile
#MegaFavNumbers-21,080,669.9597...
Made in the #MegaFavNumbers project. Playlist: https://www.youtube.com/playlist?list=PLar4u0v66vIodqt3KSZPsYyuULD5meoAo I felt non-integers weren't getting enough attention.
From playlist MegaFavNumbers
Fermat's Last Theorem for rational and irrational exponents
Fermat's Last Theorem states the equation x^n + y^n = z^n has no integer solutions for positive integer exponents greater than 2. However, Fermat's Last Theorem says nothing about exponents that are not positive integers. Note: x, y and z are meant to be positive integers, which I should
From playlist My Maths Videos
*BAD Math* With Irrational Numbers
►WEBSITE https://www.brithemathguy.com ►MY COURSE Prove It Like A Mathematician! (Intro To Math Proofs) https://www.udemy.com/course/prove-it-like-a-mathematician/?referralCode=D4A14680C629BCC9D84C ►BECOME A CHANNEL MEMBER https://www.youtube.com/channel/UChVUSXFzV8QCOKNWGfE56YQ/join #
From playlist Shorts
Transcendental numbers powered by Cantor's infinities
In today's video the Mathologer sets out to give an introduction to the notoriously hard topic of transcendental numbers that is both in depth and accessible to anybody with a bit of common sense. Find out how Georg Cantor's infinities can be used in a very simple and off the beaten track
From playlist Recent videos