Pacciu

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I used to be a good Math student; now I'm a PhD student in Mathematics...


87 Answers

newest activity votes
12
Analytic in $\mathbb{C}$ implies $\left|\frac{f'(x)}{f(x)}\right|$ is bounded in $\mathbb{R}$?
9
Self-Contained Proof that $\sum\limits_{n=1}^{\infty} \frac1{n^p}$ Converges for $p > 1$
8
Why does $a_n = (1+\frac{2}{n})^{n}$ converge to $e^2$?
8
Anecdotes about famous mathematicians or physicists
6
Is there any way to evaluate this limit without applying de l'Hôpital rule nor series expansion?
6
How is it that this shape can converge to what looks like a triangle but has a different perimeter?
5
General solution for $y^{iv}+ 2y''+y=\cos x$
5
Classical texts that should not be missing from any shelf
5
Linear span of functions
5
Analytic Continuation of $\sum_{n=0}^\infty \frac{z^n}{n+\frac{1}{2}}$
4
nonlinear first order differential equation
4
Strange integrand
4
Derivative of $\log|…|$
4
closed form solution to a sum of functions
4
how to prove that a solution of the equation is
4
Partial differential equation & Lax-Milgram Theory?
4
Squeeze an integral
4
computing the integral of $\frac1{\left(1+\|x\|_{2}^{2}\right)^2}$ over $\mathbb{R}^2$, $\mathbb{R}^3$, and $\mathbb{R}^n$
4
For continuous function $f$, prove: $\int_{0}^{x} \; \left[\int_{0}^{t}f(u) \;du \right] \;dt=\int_{0}^{x} f(u)(x-u)du$
4
Function fails to be of bounded variation
4
Differential equation
3
finding a minorant to $(\sqrt{k+1} - \sqrt{k})$
3
Convergence of $\sum_1^\infty \ln (\frac{3+n^p}{2+n^p})$
3
Infinitely differentiable function.
3
Set of harmonic functions is locally equicontinuous (question reading in Trudinger / Gilbarg)
3
Proof of Taylor's series expansion with two terms
3
Can series start with $-∞$?
3
$f\colon \mathbb{R}_{+} \to \mathbb{R}$ uniformly continuous : problem
3
Exercise with a weaker hypothesis
3
Good books on Math History
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