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In mathematics you don’t understand things. You just get used to them.

John von Neumann

A mathematician is a blind man in a dark room looking for a black cat which isn’t there!

Charles Darwin

We must know — we will know!

David Hilbert

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266 Answers

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18	$\infty - \infty = 0$ ?
14	Given real numbers: define integers?
11	Is $X_n = 1+\frac12+\frac{1}{2^2}+\cdots+\frac{1}{2^n}; \forall n \ge 0$ bounded?
11	Solving $xe^{-x}+2e^{-x}=0$
11	Infinite series $\sum_{n=0}^\infty \frac{(-3)^n}{n!}$

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7,937 Reputation

+10	Metrizable space
+10	Evaluate $\lim_{n\to\infty}\sum_{k=1}^{n}\frac{k}{n^2+k^2}$
+10	Showing that $ae^x=1+x+\frac{x^2}{2}$ has exactly one real root (part 2)
+10	Evaluation of $\int_{-\infty}^\infty \sin(at)/t\ dt$

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17 Questions

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13	Book on the Rigorous Foundations of Mathematics- Logic and Set Theory
8	Proof that a function with a countable set of discontinuities is Riemann integrable without the notion of measure
3	Non elementary antiderivative of $\phi(\cos x,\sin x)$ when $\phi(x,y)$ is a rational real function?
3	Principles of Mathematical Analysis, Dedekind Cuts, Multiplicative Inverse
2	Proof that if $f,g,h:[a,b]\to \mathbb{R}$ with $h\le f,g$ and $f,g,h$ are gauge integrable then so is $\min(f,g)$

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86 Tags

197 calculus × 77	55 proof-writing × 10
135 real-analysis × 80	52 integral × 26
112 limit × 45	43 algebra-precalculus × 11
104 homework × 42	39 integration × 21
92 sequences-and-series × 32	38 problem-solving × 8

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