User martin

981 votes

281 answers

311k views

Examples of common false beliefs in mathematics

big-list mathematics-education

gowers

27.6k

asked May 4, 2010 at 21:02

410 votes

89 answers

139k views

Video lectures of mathematics courses available online for free

alex

906

asked Feb 5, 2011 at 18:34

410 votes

16 answers

59k views

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

pr.probability polynomials cv.complex-variables

Andrej Bauer

43.5k

asked Oct 2, 2014 at 20:54

382 votes

79 answers

175k views

Proofs without words

reference-request big-list examples intuition alternative-proof

Mariano Suárez-Álvarez

45.3k

asked Dec 14, 2009 at 6:04

354 votes

110 answers

85k views

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

big-list teaching open-problems

David Feldman

16.9k

asked Jun 21, 2012 at 18:30

344 votes

52 answers

112k views

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

ho.history-overview soft-question big-list

Roman Starkov

131

asked Aug 13, 2010 at 10:12

310 votes

34 answers

83k views

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

gn.general-topology big-list intuition mathematics-education

Minhyong Kim

13.1k

asked Mar 23, 2010 at 22:25

288 votes

7 answers

20k views

Polynomial representing all nonnegative integers

nt.number-theory polynomials open-problems

Bjorn Poonen

23k

asked Dec 25, 2009 at 6:40

283 votes

34 answers

34k views

Which journals publish expository work?

big-list journals exposition

Pete L. Clark

62.6k

asked Feb 15, 2010 at 21:24

265 votes

45 answers

104k views

Examples of unexpected mathematical images

soft-question big-list experimental-mathematics visualization

Per Alexandersson

14.5k

asked Aug 9, 2014 at 7:01

252 votes

29 answers

87k views

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

soft-question mathematics-education teaching

Alexander Chervov

22k

asked Sep 18, 2017 at 21:29

226 votes

9 answers

23k views

John Nash's Mathematical Legacy

riemannian-geometry big-list game-theory

Paul Siegel

27.3k

asked May 24, 2015 at 15:58

220 votes

14 answers

69k views

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

nt.number-theory real-analysis soft-question big-list

I. J. Kennedy

1,593

asked Jul 22, 2010 at 16:06

218 votes

84 answers

38k views

Your favorite surprising connections in mathematics

soft-question big-list big-picture

Victor Miller

4,516

asked Feb 8, 2010 at 0:10

215 votes

140 answers

46k views

Fundamental Examples

examples soft-question big-picture big-list ho.history-overview

Gil Kalai

23.5k

asked Nov 11, 2009 at 7:52

213 votes

4 answers

13k views

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

at.algebraic-topology gn.general-topology

Richard Dore

5,027

asked Apr 2, 2011 at 18:42

202 votes

8 answers

29k views

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

ac.commutative-algebra mathematics-education ag.algebraic-geometry

aglearner

13.3k

asked Apr 12, 2011 at 19:02

192 votes

25 answers

45k views

The most outrageous (or ridiculous) conjectures in mathematics

ho.history-overview big-list

Gil Kalai

23.5k

asked Jan 17, 2017 at 19:55

181 votes

47 answers

97k views

Magic trick based on deep mathematics

soft-question big-list popularization

Richard Stanley

44.6k

asked Dec 25, 2009 at 22:07

180 votes

94 answers

99k views

Famous mathematical quotes [closed]

soft-question big-list ho.history-overview

Sam Derbyshire

5,232

asked Nov 29, 2009 at 20:18

177 votes

61 answers

86k views

Interesting mathematical documentaries

soft-question big-list

Ricardo Menares

243

asked Jun 19, 2012 at 18:47

177 votes

58 answers

38k views

Examples of eventual counterexamples

big-picture intuition big-list

Q.Q.J.

2,043

asked Feb 16, 2010 at 13:00

167 votes

35 answers

33k views

Proposals for polymath projects

big-list big-picture open-problems

Gil Kalai

23.5k

asked Sep 30, 2015 at 7:00

167 votes

39 answers

39k views

Most harmful heuristic?

soft-question big-list

Michael Hoffman

1,775

asked Oct 24, 2009 at 20:54

163 votes

50 answers

47k views

17 camels trick

big-list gm.general-mathematics

Fedor Petrov

88.6k

asked Jun 7, 2017 at 13:52

163 votes

13 answers

43k views

Knuth's intuition that Goldbach might be unprovable

nt.number-theory lo.logic set-theory

AgCl

2,457

asked Jun 11, 2010 at 0:38

161 votes

8 answers

76k views

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

classical-mechanics ds.dynamical-systems

Alexander Chervov

22k

asked Nov 26, 2011 at 20:04

156 votes

2 answers

58k views

Estimating the size of solutions of a diophantine equation

nt.number-theory elliptic-curves diophantine-equations rational-points

alex alexeq

1,701

asked Jan 5, 2016 at 16:55

152 votes

28 answers

26k views

How To Present Mathematics To Non-Mathematicians?

soft-question big-list mathematics-education

Asaf Karagila♦

35.4k

asked Nov 24, 2010 at 9:29

149 votes

52 answers

22k views

Experimental mathematics leading to major advances

experimental-mathematics examples big-picture polymath5 big-list

Gil Kalai

23.5k

asked Jan 17, 2010 at 7:59

Stack Exchange Network

current community

your communities

more stack exchange communities

969 Bookmarks

Examples of common false beliefs in mathematics

Video lectures of mathematics courses available online for free

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

Proofs without words

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

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

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

Polynomial representing all nonnegative integers

Which journals publish expository work?

Examples of unexpected mathematical images

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

John Nash's Mathematical Legacy

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

Your favorite surprising connections in mathematics

Fundamental Examples

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

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

The most outrageous (or ridiculous) conjectures in mathematics

Magic trick based on deep mathematics

Famous mathematical quotes [closed]

Interesting mathematical documentaries

Examples of eventual counterexamples

Proposals for polymath projects

Most harmful heuristic?

17 camels trick

Knuth's intuition that Goldbach might be unprovable

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

Estimating the size of solutions of a diophantine equation

How To Present Mathematics To Non-Mathematicians?

Experimental mathematics leading to major advances