User m. k. - Mathematics Stack Exchange

bio	website	coolnumbers.wordpress.com
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visits	member for	1 year, 7 months
	seen	3 hours ago
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	7,312 reputation	bio	website	coolnumbers.wordpress.com	visits	member for	1 year, 7 months
1739 badges		location	Everywhere		seen	3 hours ago

49

138

votes

14

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kviews

Given an infinite number of monkeys and an infinite amount of time, would one of them write Hamlet?

probability infinity

dec 2 '11 at 17:50 comonad 179

82

131

votes

9

answers

8

kviews

What's an intuitive way to think about the determinant?

may 13 at 7:14 MJD 20.8k

91

131

votes

17

answers

8

kviews

Different methods to compute $\sum\limits_{n=1}^\infty \frac{1}{n^2}$

sequences-and-series complex-analysis fourier-analysis big-list faq

mar 8 at 13:57 xpaul 1

110

106

votes

35

answers

7

kviews

Fun but serious mathematics books to gift advanced undergraduates.

reference-request soft-question big-list

feb 25 at 22:57 arielf 101

22

82

votes

4

answers

2

kviews

What do modern-day analysts actually do?

analysis complex-analysis soft-question pde harmonic-analysis

jun 7 '12 at 5:05 Paul Siegel 2,170

51

73

votes

5

answers

4

kviews

Intuition for the definition of the Gamma function?

probability-theory intuition gamma-function

jan 23 at 23:19 Victor Wang 141

18

52

votes

4

answers

2

kviews

Does $R[x] \cong S[x]$ imply $R \cong S$?

abstract-algebra commutative-algebra

sep 20 '11 at 2:56 Leon Lampret 2,630

18

48

votes

4

answers

1

kviews

How is a group made up of simple groups?

abstract-algebra group-theory

mar 26 at 12:20 azimut 5,478

11

38

votes

6

answers

2

kviews

What kind of “symmetry” is the symmetric group about?

abstract-algebra group-theory math-history

nov 19 '11 at 18:05 Jack 7,491

12

38

votes

2

answers

2

kviews

Axiom of choice and automorphisms of vector spaces

linear-algebra axiom-of-choice

jul 21 at 12:16 Asaf Karagila 90.9k

15

35

votes

5

answers

2

kviews

Find the average of $\sin^{100} (x)$ in 5 minutes?

approximation

oct 8 '11 at 14:53 Michael Hardy 48.1k

21

32

votes

4

answers

1

kviews

How is $\mathbb{C}$ different than $\mathbb{R}^2$?

complex-analysis

nov 29 '11 at 18:10 Steven Stadnicki 14.2k

33

32

votes

4

answers

3

kviews

Lesser-known integration tricks

calculus big-list integration

mar 25 '12 at 16:59 Linda Collins Sandgren 41

6

30

votes

6

answers

1

kviews

Why do we write proofs “forward?”

proof-writing

apr 25 at 1:04 user18921 3,400

13

29

votes

1

answer

1

kviews

$n!$ is never a perfect square if $n\geq2$. Is there a proof of this that doesn't use Chebyshev's theorem?

number-theory factorial alternative-proof

jan 31 '12 at 20:46 Srivatsan 15.6k

9

29

votes

2

answers

378

views

Are there/Why aren't there any simple groups with orders like this?

group-theory number-theory finite-groups simple-groups groups-of-lie-type

apr 27 at 12:16 Alexander Gruber♦ 15.1k

12

27

votes

0

answers

1

kviews

Does a four-variable analog of the Hall-Witt identity exist?

abstract-algebra group-theory algebraic-topology intuition free-groups

jan 5 at 7:42 Alexander Gruber♦ 15.1k

23

22

votes

4

answers

1

kviews

Center-commutator duality

abstract-algebra group-theory

jan 22 at 13:53 Tobias Kildetoft 4,726

8

21

votes

1

answer

298

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Lower bounds on the number of elements in Sylow subgroups

abstract-algebra group-theory finite-groups

apr 2 at 15:49 m. k. 7,312

10

19

votes

1

answer

434

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Recovering a finite group's structure from the order of its elements.

abstract-algebra group-theory finite-groups abelian-groups computational-algebra

nov 4 at 16:53 Alexander Gruber♦ 15.1k

5

19

votes

5

answers

3

kviews

Proof that Pi is constant (the same for all circles), without using limits

geometry pi

apr 16 at 21:12 Myke Arya 860

12

19

votes

5

answers

798

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Does $G\cong G/H$ imply that $H$ is trivial?

group-theory

jan 31 at 11:23 user1729 3,344

14

18

votes

3

answers

2

kviews

Why do we define quotient groups for normal subgroups only?

group-theory

feb 14 '12 at 6:06 Srivatsan 15.6k

11

17

votes

2

answers

587

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Applications of the Jordan-Hölder Theorem.

abstract-algebra group-theory reference-request modules

apr 10 at 8:43 azimut 5,478

5

16

votes

5

answers

563

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How does one actually show from associativity that one can drop parentheses?

abstract-algebra algebra-precalculus induction

mar 25 '12 at 16:01 Community♦ 1

7

15

votes

5

answers

775

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What interesting open mathematical problems could be solved if we could perform a “supertask” and what couldn't?

number-theory computer-science computational-mathematics

jan 21 '12 at 4:44 JDH 18.5k

5

15

votes

4

answers

1

kviews

Finite Groups with exactly $n$ conjugacy classes $(n=2,3,…)$

abstract-algebra group-theory finite-groups

aug 11 '11 at 6:44 Community♦ 1

6

15

votes

5

answers

405

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Solving a peculiar system of equations

algebra-precalculus

nov 22 '11 at 15:16 J. M. 38.9k

3

13

votes

3

answers

459

views

Finding groups $G$ such that $G \cong \mathscr{S}(G)$

abstract-algebra group-theory

jun 11 '11 at 4:51 Community♦ 1

2

13

votes

4

answers

489

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How to prove that the sum and product of two algebraic numbers is algebraic?

abstract-algebra field-theory

jun 7 '12 at 14:45 Ragib Zaman 17.9k

m. k.

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