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Votes Activity Newest Views Added
1k
votes
81
answers
520k
views

Visually stunning math concepts which are easy to explain

soft-question recreational-mathematics education big-list visualization
2h ago robjohn♦ 306k
686
votes
13
answers
185k
views

Does $\pi$ contain all possible number combinations?

number-theory irrational-numbers pi
Jul 21 at 6:51 VIVID 7,791
422
votes
23
answers
78k
views

Proofs that every mathematician should know. [closed]

soft-question big-list
Oct 25 '18 at 14:24 Community♦ 1
399
votes
14
answers
341k
views

Fourier transform for dummies

fourier-analysis fourier-transform
Dec 29 '19 at 20:23 Simon Fraser 2,430
353
votes
20
answers
40k
views

Find five positive integers whose reciprocals sum to $1$

elementary-number-theory diophantine-equations fractions egyptian-fractions
Aug 19 at 2:15 Bumblebee 14.5k
338
votes
23
answers
39k
views

Zero to the zero power – is $0^0=1$?

algebra-precalculus exponentiation indeterminate-forms faq
Dec 30 at 23:07 J. W. Tanner 54.4k
311
votes
32
answers
48k
views

Is it true that $0.999999999\dots=1$?

real-analysis algebra-precalculus real-numbers decimal-expansion
Jan 30 at 9:39 user76284 3,993
270
votes
41
answers
18k
views

Can't argue with success? Looking for “bad math” that “gets away with it”

examples-counterexamples big-list
Feb 5 at 23:39 Ruslan 5,984
198
votes
4
answers
29k
views

How do I convince someone that $1+1=2$ may not necessarily be true?

logic soft-question philosophy
Aug 17 at 7:26 Spectre 1,144
151
votes
7
answers
20k
views

Find a real function $f:\mathbb{R}\to\mathbb{R}$ such that $f(f(x)) = -x$?

real-analysis continuity functional-equations
Jan 12 '20 at 1:53 Community♦ 1
133
votes
19
answers
42k
views

Looking for an intuitive explanation why the row rank is equal to the column rank for a matrix

linear-algebra matrices intuition matrix-rank
Dec 27 at 8:39 Venkata Karthik Bandaru 61
123
votes
15
answers
12k
views

Are “if” and “iff” interchangeable in definitions?

terminology definition
Feb 6 '18 at 16:49 Community♦ 1
122
votes
7
answers
6k
views

Is there an integral that proves $\pi > 333/106$?

calculus real-analysis integration approximation pi
May 3 '17 at 13:21 Community♦ 1
109
votes
11
answers
21k
views

Am I just not smart enough? [closed]

elementary-number-theory soft-question advice
Oct 9 '14 at 23:14 asmeurer 8,346
107
votes
2
answers
6k
views

What makes a theorem “fundamental”?

soft-question
Oct 8 '14 at 2:43 Community♦ 1
101
votes
3
answers
68k
views

Can someone clearly explain about the lim sup and lim inf?

real-analysis limsup-and-liminf
Sep 10 '17 at 20:19 Hosein Rahnama 12.8k
93
votes
28
answers
37k
views

“Simple” beautiful math proof [closed]

soft-question
Jan 18 at 17:07 Cooperation 494
80
votes
2
answers
84k
views

Determinant of a non-square matrix

linear-algebra matrices definition determinant
Apr 25 '17 at 20:08 Community♦ 1
70
votes
12
answers
19k
views

What are the applications of functional analysis?

functional-analysis reference-request book-recommendation applications
Feb 22 at 3:37 Vinod K 1
67
votes
4
answers
55k
views

Are the eigenvalues of $AB$ equal to the eigenvalues of $BA$? (Citation needed!)

linear-algebra matrices eigenvalues-eigenvectors
Feb 13 '20 at 17:14 Noah Cowan 1
66
votes
5
answers
41k
views

Use of “without loss of generality”

terminology proof-writing
Jun 29 '18 at 16:13 Community♦ 1
63
votes
17
answers
14k
views

What exactly is a number?

soft-question terminology definition
Nov 29 at 1:30 aderchox 179
61
votes
9
answers
24k
views

Introductory texts on manifolds

reference-request differential-geometry
Sep 17 '16 at 0:05 Community♦ 1
54
votes
2
answers
31k
views

Differentiating an Inner Product

real-analysis functional-analysis inner-products derivatives
Jan 4 '12 at 18:27 t.b. 70.8k
51
votes
9
answers
4k
views

Is $dx\,dy$ really a multiplication of $dx$ and $dy$?

calculus real-analysis analysis nonstandard-analysis
Mar 13 '17 at 14:52 Community♦ 1
43
votes
5
answers
28k
views

Entire function bounded by a polynomial is a polynomial

complex-analysis
Jul 12 at 3:22 user770687 188
41
votes
14
answers
36k
views

What's the proof that the Euler totient function is multiplicative?

elementary-number-theory totient-function multiplicative-function
Apr 29 '19 at 3:45 darij grinberg 15k
38
votes
6
answers
31k
views

what functions or classes of functions are $L^1$ but not $L^2$

real-analysis
Oct 21 at 22:30 user840420 1
37
votes
1
answer
3k
views

What is magical about Cartan's magic formula?

differential-geometry soft-question math-history
Aug 31 '15 at 19:16 Xavi Rivas 181
35
votes
4
answers
11k
views

Is Inner product continuous when one arg is fixed?

real-analysis general-topology inner-products
May 4 '16 at 15:50 Community♦ 1
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