The proof of the formula $z = |z|e^{i \phi}$
60721
How does $e^{i x}$ produce rotation around the imaginary unit circle?
103536
How to prove $|e^{i\theta} - 1| \leq |\theta|$?
91889
Prove $\phi^n = \phi F_n + \text{(another Fibonacci number)}$ using mathematical induction.
120985
Prove that $\mathrm{Res}[f/g,z_0]=\frac{f(z_0)}{g'(z_0)}$
41191
How to prove this $\pi$ formula?
33144
Criterion for $\phi(mn)=m\phi(n)$ to be true
102553
How to show that $f(z) = f(i)$
39943
Proving $\mathrm e <3$
104982
Determine $\phi(2^{399}+1)$
5526
Prove that $ℤ[i]^*= \{1,-1,i,-i\}$
95022
Help understanding proof of the following statement $E(Y) = \sum_{i = 1}^{\infty} P(Y \geq k)$
137711
Alternative proof that $[\Bbb{Q}(\zeta_n) : \Bbb{Q} ]= \varphi(n)$ uses circular reasoning?
37012
The number of summands $\phi(n)$
27347
Verify that $\left|\int_{\gamma} \exp(iz^2)dz\right| \leq \frac{\pi\big(1-\exp(-r^2)\big)}{4r}$ where $\gamma(t)=re^{it}$, for $0\leq t \leq \pi/4$.
54244
Understanding the Proof of L'Hopital's Rule
102175
$Z=XY$, $E_Z[Z]$, $E_{X,Y}[XY]$
34496
Proof that $e=\sum\limits_{k=0}^{+\infty}\frac{1}{k!}$