Hellow guys, Welcome to my website, and you are watching The Basel Problem Part 2: Euler's Proof and the Riemann Hypothesis. and this vIdeo is uploaded by zetamath at 2021-05-25T11:54:04-07:00. We are pramote this video only for entertainment and educational perpose only. So, I hop you like our website.
| Name | The Basel Problem Part 2: Euler's Proof and the Riemann Hypothesis |
| Video Uploader | Video From zetamath |
| Upload Date | This Video Uploaded At 25-05-2021 18:54:04 |
| Video Discription | In this video, I present Euler's proof that the solution to the Basel problem is pi^2/6. I discuss a surprising connection Euler discovered between a generalization of the Basel problem and the Bernoulli numbers, as well as his invention of the zeta function. I explain Euler's discovery of the connection between the zeta function and the prime numbers, and I discuss how Riemann's continuation of Euler's work led him to state the Riemann hypothesis, one of the most important conjectures in the entire history of mathematics. If you would like to support the production of our content, we have a Patreon! Sign up at https://patreon.com/zetamath Sections of this video: 00:00 Intro 01:24 Euler's Basel proof 23:20 The zeta function and the Bernoulli numbers 32:01 Zeta and the primes 48:15 The Riemann hypothesis -- Further viewing from 3Blue1Brown: Why is pi here? And why is it squared? A geometric answer to the Basel Problem https://youtu.be/d-o3eB9sfls Taylor series https://youtu.be/3d6DsjIBzJ4 -- Further viewing from Mathologer: Euler's real identity NOT e to the i pi = -1 https:/youtu.be/yPl64xi_ZZA Euler's Pi Prime Product and Riemann's Zeta Function https://youtu.be/LFwSIdLSosI Ramanujan: Making sense of 1+2+3+... = -1/12 and Co. https://youtu.be/jcKRGpMiVTw -- Thanks go to Keith Welker for our theme music. https://www.lunarchariot.com Some of the animations in this video were created with Manim Community. More information can be found at https://manim.community |
| Category | Education |
| Tags | Education Download MP4 | Education Download MP3 | Education Download MP4 360p | Education Download MP4 480p | Education Download MP4 720p | Education Download MP4 1080p |
