Understanding Euler's Number e: Give a Dollar, Get a Dollar скачать в хорошем качестве

Understanding Euler's Number e: Give a Dollar, Get a Dollar

One way to understand Euler's Number e is the dollar for dollar return you might get from a bank, compounded as often as you can. Now, to be sure, if you have a bank that will give you a dollar return for a dollar investment: run! That bank is a scam. But more seriously, if you have that dollar for dollar situation, it would be to your advantage to split the dollar into tiny bits and check in to get your return several times per year. Subscribe: https://bit.ly/polymathematic | Enable ALL push notifications 🔔 As you check in more and more often, the bits of a dollar you get back get smaller, but there become more of them. This increases your sum toward the special mathematical constant e, also known as Euler's number (and no, he did not name it after himself, it's just a funny coincidence.) This is the idea behind compound interest as it comes up in financial math, specifically what's called continuous compound interest. But it also comes up in Precalculus and Calculus as we learn about Riemann sums (inspiring the graph as you see it at the end of the video). If you want to play with this graph in Desmos, you can find that here: https://www.desmos.com/calculator/dyd... #calculus #exponential #riemannsums 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   –––––––––––––––––––––––––––––– Hawaii - Tobjan   / tobjanmusic   Creative Commons — Attribution 3.0 Unported — CC BY 3.0 Free Download / Stream: https://bit.ly/33XcROp Music promoted by Audio Library    • Hawaii – Tobjan (No Copyright Music)   –––––––––––––––––––––––––––––– 🎵 Track Info: Title: Hawaii by Tobjan Genre and Mood: Dance & Electronic + Happy ——— 🎧 Available on: Spotify: https://spoti.fi/3r5HqdM iTunes: https://apple.co/3H47Y4E Deezer: https://deezer.com/es/track/1613961622 SoundCloud:   / ha.  . ——— 😊 Contact the Artist: Tobjan:   / tobjanmusic   https://open.spotify.com/artist/30Nr7...   / tobjanofficial     / tobjanmusic   ———