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Mathematics
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Math-fun
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Mathematics is a game played according to certain simple rules with meaningless marks on paper. D. Hilbert (January 23, 1862 – February 14, 1943)

317 is a prime, not because we think so, or because our minds are shaped in one way rather than another, but because it is, because mathematical reality is built that way. G.H. Hardy (February 7, 1877 - December 1, 1947), A Mathematician's Apology, 1940.

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19
$f : [0,\infty) → \mathbb{R}$ with $f(0) = f'(0) = 0$ and $f(x) < x^2$ and $f',f'',f''' > 0$?
Jan 17, 2019
14
Memoryless property and geometric distribution
Dec 19, 2014
11
How many ways can seven people sit around a circular table?
Dec 16, 2014
9
Compute $\int_{0}^{1} \frac{\ln(x)}{(x+1)^2} \mathrm dx$
Sep 10, 2015
9
Evaluate $\int_0^1 \frac{\log(1+x)}{x}$
Nov 25, 2016
9
Proof of a Ramanujan Integral
Feb 18, 2015
9
How did Euler realize $x^4-4x^3+2x^2+4x+4=(x^2-(2+\alpha)x+1+\sqrt{7}+\alpha)(x^2-(2-\alpha)x+1+\sqrt{7}-\alpha)$?
Feb 15, 2015
8
Why aren't the functions $f(x) = \frac{x-1}{x-1}$ and $f(x) = 1$ the same?
Jan 11, 2017
8
Series Approximation How to evaluate $1/3+1/3(1/3)^3+1/5(1/3)^5+...$?
Aug 18, 2015
8
Why is $\int_0^{2\pi}{\sin x\over x}$ bigger than 0?
Jun 24, 2015
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Editing already settled questions: Does it bring anything?