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martin
  • Member for 8 years, 6 months
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981 votes
281 answers
311k views

Examples of common false beliefs in mathematics

  • 27.6k
410 votes
89 answers
139k views

Video lectures of mathematics courses available online for free

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410 votes
16 answers
59k views

Why do roots of polynomials tend to have absolute value close to 1?

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382 votes
79 answers
175k views

Proofs without words

354 votes
110 answers
85k views

Not especially famous, long-open problems which anyone can understand

344 votes
52 answers
112k views

Widely accepted mathematical results that were later shown to be wrong?

310 votes
34 answers
83k views

Why is a topology made up of 'open' sets? [closed]

  • 13.1k
288 votes
7 answers
20k views

Polynomial representing all nonnegative integers

283 votes
34 answers
34k views

Which journals publish expository work?

265 votes
45 answers
104k views

Examples of unexpected mathematical images

252 votes
29 answers
87k views

Mathematical games interesting to both you and a 5+-year-old child

226 votes
9 answers
23k views

John Nash's Mathematical Legacy

  • 27.3k
220 votes
14 answers
69k views

Have any long-suspected irrational numbers turned out to be rational?

218 votes
84 answers
38k views

Your favorite surprising connections in mathematics

215 votes
140 answers
46k views

Fundamental Examples

  • 23.5k
213 votes
4 answers
13k views

Is $\mathbb R^3$ the square of some topological space?

  • 5,027
202 votes
8 answers
29k views

How to memorise (understand) Nakayama's lemma and its corollaries?

  • 13.3k
192 votes
25 answers
45k views

The most outrageous (or ridiculous) conjectures in mathematics

  • 23.5k
181 votes
47 answers
97k views

Magic trick based on deep mathematics

180 votes
94 answers
99k views

Famous mathematical quotes [closed]

177 votes
61 answers
86k views

Interesting mathematical documentaries

177 votes
58 answers
38k views

Examples of eventual counterexamples

  • 2,043
167 votes
35 answers
33k views

Proposals for polymath projects

  • 23.5k
167 votes
39 answers
39k views

Most harmful heuristic?

163 votes
50 answers
47k views

17 camels trick

  • 88.6k
163 votes
13 answers
43k views

Knuth's intuition that Goldbach might be unprovable

  • 2,457
161 votes
8 answers
76k views

The "Dzhanibekov effect" - an exercise in mechanics or fiction? Explain mathematically a video from a space station

156 votes
2 answers
58k views

Estimating the size of solutions of a diophantine equation

  • 1,701
152 votes
28 answers
26k views

How To Present Mathematics To Non-Mathematicians?

  • 35.4k
149 votes
52 answers
22k views

Experimental mathematics leading to major advances

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