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140
191 votes
21 answers

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

soft-question advice Dec 31 '12 at 5:24 Grigor
math.stackexchange.com

19
64 votes
3 answers

What remains in student's mind

soft-question education Jun 28 '12 at 22:19 Michael Hardy
math.stackexchange.com

20
35 votes
17 answers

What's the goal of mathematics?

soft-question philosophy Dec 26 '11 at 23:32 Andrew
math.stackexchange.com

7
28 votes
3 answers

If $e^A$ and $e^B$ commute, do $A$ and $B$ commute?

linear-algebra exponential-function Apr 3 at 21:46 Seirios
math.stackexchange.com

11
26 votes
6 answers

How many connected components does $\mathrm{GL}_n(\mathbb R)$ have?

general-topology matrices lie-groups Apr 18 at 6:08 Seirios
math.stackexchange.com

5
20 votes
2 answers

What is the image near the essential singularity of z sin(1/z)?

complex-analysis Jan 11 '11 at 9:37 Community
math.stackexchange.com

7
19 votes
2 answers

Is there a continuous bijection from $\mathbb{R}$ to $\mathbb{R}^2$

homework general-topology Jun 30 '11 at 2:07 Aryabhata
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7
17 votes
6 answers

Characterizing nonconstant entire functions with modulus 1 on the unit circle

complex-analysis Aug 9 '12 at 9:08 Moritzplatz
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5
17 votes
2 answers

Does constant modulus on boundary of annulus imply constant function?

complex-analysis Jan 1 '12 at 16:26 Community
math.stackexchange.com

7
17 votes
3 answers

Research in algebraic topology

algebraic-topology soft-question Jul 15 '12 at 20:55 Tyler Lawson
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2
15 votes
2 answers

When is a local homeomorphism a covering map?

general-topology Nov 2 '12 at 20:39 robjohn
math.stackexchange.com

6
15 votes
5 answers

Is $e^x$ the only isomorphism between the groups $(\mathbb{R},+)$ and $(\mathbb{R}_{> 0},*)$?

group-theory Feb 13 at 22:21 usul
math.stackexchange.com

8
14 votes
3 answers

on the boundary of analytic functions

complex-analysis Mar 6 '11 at 0:12 Jonas Meyer
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5
13 votes
3 answers

Self Study in Dynamical Systems

reference-request dynamical-systems Apr 20 '12 at 19:18 Taxi Driver
math.stackexchange.com

2
13 votes
5 answers

Does there exist a matrix $\mathbf{A}\in\mathbb{R}^{3\times3}$ such that $\mathbf{A}^{2}=-\mathbf{I}$?

matrices May 17 at 5:48 Landscape
math.stackexchange.com

4
12 votes
4 answers

Can every nonsingular $n\times n$ matrix with real entries be made singular by changing exactly one entry?

linear-algebra matrices Apr 2 at 8:43 Marc van Leeuwen
math.stackexchange.com

4
11 votes
2 answers

if $f$ is entire and $|f(z)| \leq 1+|z|^{1/2}$, why must $f$ be constant?

complex-analysis May 20 at 13:44 Norbert
math.stackexchange.com

5
10 votes
4 answers

What is the 'implicit function theorem'?

real-analysis intuition multivariable-calculus Jul 6 '12 at 10:13 DBr
math.stackexchange.com

4
11 votes
1 answer

holomorphic functions and fixed points

complex-analysis Jul 8 '11 at 1:29 Dylan Moreland
math.stackexchange.com

5
11 votes
3 answers

What type of object is a differential form?

differential-geometry Aug 19 '12 at 3:12 Matt E
math.stackexchange.com

4
10 votes
2 answers

Entire functions such that $f(z^{2})=f(z)^{2}$

complex-analysis functional-equations Nov 29 '11 at 16:30 J. M.
math.stackexchange.com

1
10 votes
1 answer

Does $f(z+2\pi)=f(z)$ for all $z\in \mathbb{C}$?

complex-analysis May 25 '12 at 22:29 Joel Cohen
math.stackexchange.com

4
10 votes
1 answer

Space of homeomorphisms Homeo$(S^1)$ of $S^1$ deformation retracts onto $O(2)$

general-topology geometric-topology Mar 7 at 7:27 Martin
math.stackexchange.com

2
10 votes
2 answers

$|f(x)-f(y)|\le(x-y)^2$ without gaplessness

real-analysis general-topology inequality metric-spaces Mar 19 at 19:23 zyx
math.stackexchange.com

4
9 votes
2 answers

Is $f(z)$ a constant in $\Bbb{C}$?

complex-analysis Apr 17 at 14:47 Cameron Buie
math.stackexchange.com

2
9 votes
2 answers

The existence of a group automorphism with some properties implies commutativity.

homework abstract-algebra group-theory finite-groups abelian-groups Mar 29 at 4:51 Alexander Gruber
math.stackexchange.com

4
9 votes
1 answer

Homeomorphism between open unit ball and $\mathbb R^n$

real-analysis general-topology continuity May 13 at 21:34 egreg
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2
9 votes
3 answers

Is the reciprocal of an analytic function analytic?

real-analysis analysis complex-analysis Jun 1 '11 at 17:27 Joel Cohen
math.stackexchange.com

4
9 votes
2 answers

Proof that 1-1 analytic functions have nonzero derivative

complex-analysis Apr 27 '11 at 17:22 Robert Israel
math.stackexchange.com

3
9 votes
2 answers

Proof that $\frac{1}{2\pi i}\oint f'(z)/f(z) \, dz = n$

complex-analysis Dec 12 '10 at 22:14 Daniel McLaury
math.stackexchange.com

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