learner's user avatar
learner's user avatar
learner's user avatar
learner
  • Member for 10 years, 3 months
  • Last seen this week
258 votes
40 answers
30k views

Fun but serious mathematics books to gift advanced undergraduates.

194 votes
22 answers
73k views

List of Interesting Math Blogs [closed]

50 votes
6 answers
29k views

Rudin's Principles of Mathematical Analysis or Apostol's Mathematical Analysis?

  • 2,334
34 votes
5 answers
8k views

How to show that $\lim\limits_{x \to \infty} f'(x) = 0$ implies $\lim\limits_{x \to \infty} \frac{f(x)}{x} = 0$?

  • 1,862
31 votes
6 answers
8k views

Is a good GRE score enough for a non-math graduate to be accepted in a decent pure mathematics graduate program?

  • 1,047
25 votes
5 answers
11k views

Let $A$ and $B$ be $n \times n$ real matrices such that $AB=BA=0$ and $A+B$ is invertible

  • 6,520
14 votes
4 answers
771 views

Find the determinant of $A$ satisfying $A^{-1}=I-2A.$

10 votes
3 answers
7k views

How to find subgroups of $ \;\;\Bbb Z_2\times \Bbb Z_6$

10 votes
1 answer
3k views

Is it a good idea to create a math blog on Wordpress? [closed]

  • 9,864
9 votes
1 answer
2k views

Multiple choice question: Let $f$ be an entire function such that $\lim_{|z|\rightarrow\infty}|f(z)|$ = $\infty$.

  • 1,297
8 votes
9 answers
3k views

If $x \neq 0,y \neq 0,$ then $x^2+xy+y^2$ is .....

  • 6,520
8 votes
4 answers
17k views

Find the last two digits of $ 7^{81} ?$

6 votes
4 answers
1k views

The minimum value of $a^2+b^2+c^2+\frac1{a^2}+\frac1{b^2}+\frac1{c^2}?$

  • 6,520
6 votes
3 answers
3k views

Let $N$ be a $2× 2$ complex matrix such that $N^2=0$. how could I show $N=0$, or $N$ is similar over the matrix.

  • 2,189
6 votes
3 answers
218 views

Find the limit of $ x_n = \prod_{j=2}^{n} \left(1 - \frac{2}{j(j+1)}\right)^2$

  • 6,520
5 votes
3 answers
133 views

How to prove $\lim_{n \to \infty} \cos \frac {\pi}{2^2}\cos \frac {\pi}{2^3}\cos \frac {\pi}{2^4}......\cos \frac {\pi}{2^n}=\frac {2}{\pi}$

  • 6,520
5 votes
3 answers
2k views

Problem related to a clock

4 votes
3 answers
1k views

Multiple Choice Question: Let f be holomorphic on D with $ f(0) = \frac{1}{2}$ and $ f(\frac{1}{2}) = 0 $, where $ D = \{ z : |z|\leq 1 \}$.

  • 1,297
4 votes
7 answers
732 views

How to prove $\lim_{n\rightarrow \infty} {a^n \over n!}=0$ [duplicate]

  • 4,411
4 votes
2 answers
234 views

Please help with this boundary value problem

4 votes
2 answers
703 views

$5 \frac {3}{*} \times 3 \frac {*}{2}=19$?

  • 6,520
4 votes
5 answers
344 views

Find $\lim \limits_{n \to \infty}(n^5+4n^3)^{1/5}-n$

4 votes
3 answers
2k views

Convergence of series of solutions to $\tan(x)=x$ and $\tan(\sqrt(x)) = x$

  • 6,520
3 votes
2 answers
204 views

Solve the PDE $u_{xx}+u_{yy}+\lambda u=0, 0<x,y<1$

3 votes
1 answer
125 views

{$z∈\mathbb{C}|z|≤1$} and let $f:U→\mathbb{C}$ be the map defined by $f(z)=e^{iω}(z-a)/(1-\overline{a}z)$

3 votes
4 answers
220 views

$ f \colon \mathbb R \to \mathbb R$ be a function such that $f(x+y)= f(x) f(y)$

3 votes
5 answers
2k views

What is the number of distinct homomorphism from $\Bbb Z/5 \Bbb Z$ to $\Bbb Z/7 \Bbb Z$

  • 6,520
3 votes
1 answer
364 views

$f(z)=u(x,y)+iv(x,y)$ be an entire function having Taylor's series expansion

2 votes
3 answers
397 views

How to prove $BA=0 \implies $ nullity $B \geq $ rank $A.$

2 votes
1 answer
159 views

Consider the map $ f \colon \Bbb R^2 \rightarrow \Bbb R^2$ defined by $f(x,y)=(3x-2y+x^2,4x+5y+y^2).$

  • 6,520