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  • Member for 10 years, 9 months
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827 votes
27 answers
195k views

How to study math to really understand it and have a healthy lifestyle with free time? [closed]

  • 10.2k
502 votes
7 answers
21k views

"The Egg:" Bizarre behavior of the roots of a family of polynomials.

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445 votes
23 answers
85k views

Proofs that every mathematician should know. [closed]

  • 1,107
281 votes
63 answers
24k views

Funny identities [closed]

239 votes
27 answers
59k views

Best Fake Proofs? (A M.SE April Fools Day collection) [closed]

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224 votes
2 answers
8k views

Is there a 0-1 law for the theory of groups?

  • 13.9k
194 votes
22 answers
73k views

List of Interesting Math Blogs [closed]

191 votes
5 answers
7k views

A Topology such that the continuous functions are exactly the polynomials

  • 13.9k
175 votes
7 answers
17k views

Why is Euler's Gamma function the "best" extension of the factorial function to the reals?

  • 1,853
171 votes
6 answers
28k views

Deleting any digit yields a prime... is there a name for this?

  • 11.2k
166 votes
1 answer
6k views

Is there a homology theory that counts connected components of a space?

  • 16.4k
152 votes
19 answers
225k views

Online tool for making graphs (vertices and edges)?

  • 1,623
127 votes
2 answers
6k views

How to prove $\int_0^1\tan^{-1}\left[\frac{\tanh^{-1}x-\tan^{-1}x}{\pi+\tanh^{-1}x-\tan^{-1}x}\right]\frac{dx}{x}=\frac{\pi}{8}\ln\frac{\pi^2}{8}?$

  • 1,399
124 votes
7 answers
4k views

What remains in a student's mind [closed]

  • 12.2k
119 votes
5 answers
13k views

How were 'old-school' mathematics graphics created?

  • 1,203
106 votes
19 answers
19k views

Chatting about mathematics (with real-time LaTeX rendering)

105 votes
6 answers
13k views

How to learn from proofs?

  • 2,777
105 votes
1 answer
3k views

All polynomials with no natural roots and integer coefficients such that $\phi(n)|\phi(P(n))$

103 votes
13 answers
54k views

Why is "the set of all sets" a paradox, in layman's terms?

  • 13.8k
98 votes
6 answers
29k views

Is infinity an odd or even number?

  • 1,161
93 votes
1 answer
3k views

Number of simple edge-disjoint paths needed to cover a planar graph

  • 3,688
85 votes
6 answers
5k views

Alice and Bob play the determinant game

  • 2,847
81 votes
6 answers
7k views

Motivation for spectral graph theory.

  • 26.1k
81 votes
4 answers
6k views

Volumes of n-balls: what is so special about n=5?

76 votes
3 answers
12k views

Connections between metrics, norms and scalar products (for understanding e.g. Banach and Hilbert spaces)

  • 8,396
72 votes
5 answers
11k views

What is so interesting about the zeroes of the Riemann $\zeta$ function?

  • 739
70 votes
9 answers
15k views

Do "Parabolic Trigonometric Functions" exist?

  • 24.4k
68 votes
4 answers
5k views

Algebra: Best mental images

  • 2,520
64 votes
6 answers
8k views

$n$th derivative of $e^{1/x}$

  • 13.8k
60 votes
2 answers
96k views

Period of the sum/product of two functions

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