20 Largest “leap-to-generality” in math history? 11 How to prove that $\sum_{k=1}^{n-1} \frac{1}{1-e^{2 \pi i k/n}} = \frac{n-1}{2}$? 11 Can a continuous real function take each value exactly 3 times? 10 Why rationalize the denominator? 7 Solving $(f(x))^2 = f(\sqrt{2}x)$

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 +15 Proof writing: how to write a clear induction proof? +10 Proof writing: how to write a clear induction proof? +10 How to prove $\sum_{k=1}^{n}k\binom{n}{k} = n2^{n-1}$ +10 Are there algorithms for solving simple functional equations?

Questions (7)

 45 Largest “leap-to-generality” in math history? 19 Proof writing: how to write a clear induction proof? 6 $f(\alpha x) = f(x)^{\beta}$ under different constraints 2 Solutions of $f : \Bbb Q^*_+ \to \Bbb Q$ such as $f(\tfrac1x)=f(x)$ and $f(x) = (1+\tfrac1x)f(x-1)$ for all $x$ 2 $\lim_n \sum_k^{n-1} \tfrac1{1-\rho^k-\rho^{n-k}}$

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 42 real-analysis × 21 26 calculus × 14 39 soft-question × 8 20 big-picture × 2 32 functions × 8 19 algebra-precalculus × 4 29 big-list × 6 19 summation × 4 27 mathematicians × 3 17 sequences-and-series × 15