David Bowman's user avatar
David Bowman's user avatar
David Bowman's user avatar
David Bowman
  • Member for 7 years, 7 months
  • Last seen this week
21 votes
Accepted

Schur's Theorem: In $\ell^1$ weak convergence of $x_n$ is the same as convergence in the norm

18 votes
Accepted

Why is calculus considered to be difficult?

16 votes

Examples of closed sets with empty interior

14 votes
Accepted

Prove function increasing

14 votes

Good math books to discover stuff by yourself

11 votes

If $\sin(2x)=0$, can we prove that $\cos(x)=0$?

8 votes
Accepted

Showing that the union of the interiors of a closed sets making up a complete metric space is dense

6 votes
Accepted

What is the closure of $\ell_1$ in $\ell_2$?

6 votes
Accepted

Why is the following operator invertible

6 votes

Show that $\int_0^1 \int_0^1 \sqrt{\frac{ts}{t^2 + s^2}},dt \,ds < +\infty$?

6 votes
Accepted

How to find the limit of this integral?

5 votes

Show that the series $∑a_nb_n$ is convergent.

5 votes
Accepted

Find integral $\int\frac{\arcsin(x)}{x^{2}}dt$

4 votes

If $x\in\mathbb{R}$ and $|x| - x \ne 0$, what do you know about $x$?

4 votes

find the limit when $x$ approaches to $1$

4 votes

the value of Lebesgue integral $\int_{[0, 1]} f d \mu$

4 votes

Examples of analysis results using probability theory

4 votes
Accepted

Divergent Countable Sum from Uncountable Sum

4 votes

How to integrate $\int \frac {e^y}{y} dy$?

4 votes
Accepted

If $a$ is a group element and $a^{6}=e$, why can't $|a|=4?$

4 votes
Accepted

Show that $\lim \limits_{x \to 1}\sum_{n=1}^{\infty}\frac{n^2x^2}{n^4+x^4}=\sum_{n=1}^{\infty}\frac{n^2}{n^4+1}$

4 votes
Accepted

Test whether the function $\frac{x}{2}+\frac{1}{x}$ is contraction or NOT

4 votes
Accepted

Help with a residue integration problem. Complex analysis

4 votes
Accepted

Showing $\int\limits_0^{\pi}\log(\sin(\theta))d\theta = -\pi \log(2)$

3 votes

$\sin(x) \leq x$ on the interval $[0,1]$

3 votes
Accepted

linear operator from $\ell^1$ to $(c_0)'$

3 votes

Elementary ways to calculate the arc length of the Cantor function (and singular function in general)

3 votes
Accepted

Compact set of measure zero.

3 votes
Accepted

How to show $f(x)$ is Riemann integrable?

3 votes

prove an operator is compact in reflexive space

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