e to the (i pi): the Most Intuitive Explanation // скачать в хорошем качестве

e to the (i pi): the Most Intuitive Explanation //

How does Euler's identity work? How can it possible be the case that five such fundamental constants of mathematics come together to form such a simple identity? Euler's formula has been called the most beautiful in all of mathematics, but what does it really mean? Subscribe: https://bit.ly/polymathematic | Enable ALL push notifications 🔔 For today's math minute, I am taking a page out of Carlo Cellucci's book (literally, you can see his article here: https://www.researchgate.net/publicat...) in trying to explain the geometry behind e to the i pi plus one equals zero. This video doesn't quite dive into the details of the calculus, complex analysis, or other work (though there are two videos below that go into more detail), but it's the best intuition I've ever seen for what's actually going on when you combine the exponential function, multiplication, addition, Euler's number, π, the imaginary unit, one, and zero. Oh, and addition! I'll leave the details to the video, but here are a couple links you might be interested in: Desmos Graph: https://bit.ly/etotheipidesmos Video on the e Limit:    • Using L'Hopital's Rule to Find the e Limit...   Video on a Special Arctangent Limit:    • Using L'Hopital's Rule to find a Special I...   #EulersIdentity #etotheipi #EulersFormula Follow Tim Ricchuiti: TikTok:   / polymathematic   Twitter:   / poly_mathematic   Instagram:   / polymathematicnet   Reddit:   / polymath-matic   Facebook:   / polymathematic   Watch more Math Videos: Math Minis:    • Math Mini   Math Minutes:    • Math Minutes   Number Sense:    • Number Sense (UIL / PSIA)   MATHCOUNTS:    • MATHCOUNTS   This was originally going to be my submission to ‪@3blue1brown‬'s SoME2 summer of math exposition 2 contest, but time got the best of me! Euler's Theorem? some2 3blue1brown?