But HOW did Euler do it?! A BEAUTIFUL Solution to the FAMOUS Basel Problem!
Help me create more free content! =) / mathable Merch :v - https://teespring.com/de/stores/papaf... https://shop.spreadshirt.de/papaflammy 2nd Channel: / @rockhardwooddaddy Sine taylor: • The Sine Function and its Series Expansion Sine Product: • Deriving EULER's INFINITE SINE PRODUCT usi... Cotangent: • The Cotangent's Series Expansion Derivatio... Basel Problem: • The Basel Problem & its Alternating Formul... Today we are going to go bacc in time! Following in Euler's footsteps, we are going to solve the basel problem using the weierstraß factorization theorem. Decomposing the SIne into its linear factors and the comparing coefficients with its also established taylor series expansion is going to be the key in finding the peculiar value of pi^2/6 of zeta of 2/The sum of the reciprocals of all the natural numbers squared! Enjoy! =) My Website: https://www.papaflammy.engineer/ Flammy's subreddit: / flammybois Twitter: / flammablemaths Facebook: / flammablemaths Got some time to spare? Make sure to add captions to my videos! =) http://www.youtube.com/timedtext_cs_p... Want to know more about me? Watch my QnA! =D • Question and Answer Time with Papa Flammy ...
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