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MonkeyKing
  • Member for 7 years, 4 months
  • Last seen more than a month ago
445 votes
17 answers
58k views

Why does $1+2+3+\cdots = -\frac{1}{12}$?

212 votes
13 answers
61k views

Is computer science a branch of mathematics?

  • 13.8k
174 votes
6 answers
90k views

Using proof by contradiction vs proof of the contrapositive

  • 12.7k
140 votes
18 answers
37k views

How to put 9 pigs into 4 pens so that there are an odd number of pigs in each pen?

71 votes
5 answers
19k views

How to write a good mathematical paper?

  • 20k
60 votes
7 answers
22k views

Should I be worried that I am doing well in analysis and not well in algebra? [closed]

  • 1,781
56 votes
3 answers
3k views

What is this pattern called?

31 votes
3 answers
6k views

Geometric interpretation of connection forms, torsion forms, curvature forms, etc

25 votes
4 answers
6k views

Importance of Exercises in Mathematics for Self-Studying

23 votes
5 answers
9k views

Convergence of the sequence $\sqrt{1+2\sqrt{1}},\sqrt{1+2\sqrt{1+3\sqrt{1}}},\sqrt{1+2\sqrt{1+3\sqrt{1+4\sqrt{1}}}},\cdots$ [duplicate]

17 votes
1 answer
2k views

Does the sequence $\{\sin^n(n)\}$ converge?

  • 187
13 votes
3 answers
635 views

Is $2^{\aleph_0} = \aleph_1$?

  • 17.1k
13 votes
2 answers
533 views

Twilight Zelda Guardian Puzzle : Shortest Path (UPDATE: ADDED RULES)

10 votes
2 answers
1k views

What are the differences in mental skills required to master abstract algebra and analysis?? [closed]

8 votes
4 answers
30k views

How to memorize the trigonometric identities?

7 votes
2 answers
4k views

Give an intuitive explanation for polynomial quotient ring, or polynomial ring mod kernel

  • 11.1k
6 votes
1 answer
140 views

Prove $(8k)^{8k}+(8k+1)^{8k+1}$ and $(8k+1)^{8k+1}+(8k+2)^{8k+2}$ are never perfect squares

4 votes
1 answer
219 views

If $\limsup_n\sqrt[n]{a_n}=\frac{1}{r}$, then $\limsup_n\sqrt[n]{(n+1)a_{n+1}}=?$

  • 946
4 votes
2 answers
1k views

Applonius Circle/ Ford Circle / Infinite GP / Circle Packing

  • 41
4 votes
1 answer
872 views

Estimation of the n-th derivative of a complex function using Cauchy integral formula.

3 votes
1 answer
150 views

If $\tau_1, \tau_2,\tau_3$ then which are correct?

  • 12.4k
3 votes
3 answers
159 views

find the value of $\lim_{x\to0}\frac{e-(1+x)^{\frac{1}{x}}}{x}$ [duplicate]

  • 4,167
3 votes
1 answer
81 views

Putnam: Show that $a(n)=b(n+2)$

  • 185
1 vote
1 answer
145 views

Prob. 6, Sec. 21 in Munkres' TOPOLOGY, 2nd ed: How to show directly that this sequence of functions does not converge uniformly?

0 votes
1 answer
60 views

Represent transformation respect to the following basis

-1 votes
5 answers
94 views

Find the last digit of $\binom{2016}{21}$

  • 1,600