Top Tweets for #BaselProblem

over 1 year ago

Solving the #BaselProblem made Euler famous, but he did not stop there: within 5 years of calculating the infinite sum of the reciprocals of squares, he generalized his solution to any even power. The odd ones, however, remain mysterious #MathType #math #mathematics #mathfacts

MathType's tweet photo. Solving the #BaselProblem made Euler famous, but he did not stop there: within 5 years of calculating the infinite sum of the reciprocals of squares, he generalized his solution to any even power. The odd ones, however, remain mysterious

#MathType #math #mathematics #mathfacts https://t.co/qCDZhQNBsd

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almost 2 years ago

Solving the #BaselProblem made Euler famous, but he did not stop there: within 5 years of calculating the infinite sum of the reciprocals of squares, he generalized his solution to any even power. The odd ones, however, remain mysterious #MathType #math #mathematics #mathfacts

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over 2 years ago

Solving the #BaselProblem made Euler famous, but he did not stop there: within 5 years of calculating the infinite sum of the reciprocals of squares, he generalized his solution to any even power. The odd ones, however, remain mysterious #MathType #math #mathematics #mathfacts

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Volkan Kara @VolkanK14488023

over 2 years ago

Solving the #BaselProblem made Euler famous, but he did not stop there: within 5 years of calculating the infinite sum of the reciprocals of squares, he generalized his solution to any even power. The odd ones, however, remain mysterious #MathType #math #mathematics #mathfacts

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over 3 years ago

Yeni video yayında. İyi seyirler...😉 Proof of the Basel Problem ! #math #matematik #baselproblem #proof #ispat #maclaurinseries #maclaurinserisi #taylorseries #taylorserisi #animation #animasyon #sinefunction #sinüsfonksiyonu https://t.co/XLnvMDyNo7

VolkanK14488023's tweet photo. Yeni video yayında.
İyi seyirler...😉

Proof of the Basel Problem !

#math #matematik #baselproblem #proof #ispat #maclaurinseries #maclaurinserisi #taylorseries #taylorserisi #animation #animasyon #sinefunction #sinüsfonksiyonu

https://t.co/XLnvMDyNo7 https://t.co/hupE4a7HeI

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Diego Rattaggi 🇨🇭 @diegorattaggi

over 5 years ago

Just for fun. #mathiratti #baselproblem

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over 5 years ago

#BaselProblem in a tweet (Velleman). I(·):=∫_0^{pi/2}(·)dx,h(n,x):=(cos x)^{2n}, I_n:=I(h(n,x)), J_n:=I(x^2*h(n,x)). Integration by parts yields recursions that imply 1/n^2=2*(J_{n-1}/I_{n-1}-J_n/I_n), hence (1+..+1/n^2) =pi^2/6-2*J_n/I_n. Elementary to show: Remainder term→0.

over 5 years ago

Velleman's simplification of Matsuoka's solution is the easiest rigorous solution of the #BaselProblem I've ever seen. It's easier than anything given by the English #Wikipedia as of 2020-09-23. No Fourier Analysis, no infinite-product-representation of sinc, no complex analysis.

LGcommaI's tweet photo. Velleman's simplification of Matsuoka's solution is the easiest rigorous solution of the #BaselProblem I've ever seen. It's easier than anything given by the English #Wikipedia as of 2020-09-23. No Fourier Analysis, no infinite-product-representation of sinc, no complex analysis. https://t.co/L6d1mVrkTW

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over 5 years ago

Velleman's simplification of Matsuoka's solution is the easiest rigorous solution of the #BaselProblem I've ever seen. It's easier than anything given by the English #Wikipedia as of 2020-09-23. No Fourier Analysis, no infinite-product-representation of sinc, no complex analysis.

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over 6 years ago

@pickover The "beautiful formula" is the #BaselProblem: finding an informative expression for ζ(2). #Euler found π²/6 via semi-rigorious reasoning around 1735. (He compared coefficients of two Taylor-series, one of which obtained by an anticipation of the #WeierstrassFactorizationTheorem).

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The Huskies Pep Band @DaWGs

over 6 years ago

Solving the #BaselProblem made Euler famous, but he did not stop there: within 5 years of calculating the infinite sum of the reciprocals of squares he generalised his solution to any even exponent. The odd ones, however, remain mysterious #Analysis #NumberTheory #MathType

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over 7 years ago · Houghton

You guys are probably familiar with the fact that you only need 39 digits of pi to calculate the diameter of the observable universe to within the width of a hydrogen atom... But did you know that Σ (1/n)^2 as n goes from 1 to infinity equals (π^2)/6 ? #baselproblem #happypiday

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over 8 years ago

あとおまけ https://t.co/vsWjfUJ3LO https://t.co/VSBMCF024p #BaselProblem

Hal Tasaki @Hal_Tasaki

over 8 years ago

Opening from Episode 6 of “Kamen-Rider Build”, a program (mainly) for kids. How nice that they are exposed to beautiful math! #BaselProblem

Hal_Tasaki's tweet photo. Opening from Episode 6 of “Kamen-Rider Build”, a program (mainly) for kids. How nice that they are exposed to beautiful math!
#BaselProblem https://t.co/dO3zJnfe9a

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over 8 years ago

BW. Sullivan, Numerous Proofs of... https://t.co/j7LakKpJxs D Daners, A short elementary proof of... https://t.co/41yLb1GfZq INTEGERSブログ, バーゼル問題の高校数学範囲内で分かる証明 https://t.co/2UgDvv6dSq 杉本敏夫, バーゼル問題とオイラー https://t.co/CdAgfeKpNW #BaselProblem

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over 8 years ago

SG. Moreno, A One-Sentence and Truly Elementary Proof of the Basel Problem https://t.co/E1FpFB4Fii Chapman, Evaluating ζ(2) https://t.co/IPS9ZxMcxO Josef Hofbauer, A Simple Proof of... https://t.co/ng5kY9D9JZ Ed Sandifer, How Euler Did It https://t.co/v0QY8IoSu6 #BaselProblem

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